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The core rules for Way of the Geeky
- Product information, in which information regarding this document version is revealed.
- Glossary, a detailed list of the jargon specific to this game.
- Introduction, which welcomes you to this role-playing game (and RPGs in general).
- Attributes, in which the vital statistics used to numerically rate characters are described.
- Action resolution, in which the methods to determine the outcome of random events are explained.
- Character creation, with the processes for initally creating and later increasing the powers of characters.
- Status tags, which are a means to quantitatively describe various effects on characters.
- Appendices, in which we expand upon various questions and underlying details.
- Product Code
- 1
- Version 1
- December 2009
- Designers
- Stelio Passaris
- Artists
- n/a
- Producers
- Stelio Passaris
- Publishers
- Whiplash and Barrel
- Weblink
- http://geek.stelio.net/CCYBFYMHWB.html
- This link will always take you to the latest version of this page.
- Permission granted to deep link directly to this page
- Attributes
- The four key statistics (Weight, Geek, Chit Chat, Soul) each given a rating that describes the relative effectiveness of a character.
- Avatar
- An upgrade for a character, bought with GeekGold, that allows them to increase one of their attributes.
- Chit Chat
- One of the four attributes that determines a character's aptitudes. Chit Chat is a measure of social aptitude.
- Difficulty level
- A number (typically from 1 to 5) that defines how hard it is to successfully perform a particular action.
- Geek
- One of the four attributes that determines a character's aptitudes. Geek is a measure of mental aptitude.
- GeekBadge
- An upgrade for a character, bought with GeekGold, that allows them to increase one of their attributes.
- GeekGold
- A reward periodically given to players by the GeekMod for good role-playing.
- GeekMod
- The GeekMod is the person that runs a game for the players. GeekMod may be abbreviated to GM, which just goes to show that we're not above abusing familiar terminology.
- MicroBadge
- An upgrade for a character, bought with GeekGold, that can have one of a variety of different effects.
- Rating
- The level of any one attribute, usually ranging from 1 (worst) to 10 (best).
- Session
- A single sitting of a game played in one continuous time period. A single game may span multiple sessions.
- Soul
- One of the four attributes that determines a character's aptitudes. Soul is a measure of spiritual aptitude.
- Tag
- A temporary status that affects a character in some way, often raising or lowering their attributes.
- Test
- A process that randomly determines the success of a character action based on their ability and the difficulty level.
- UberGeekBadge
- An upgrade for a character, bought with GeekGold, that allows them to increase one of their attributes.
- Weight
- One of the four attributes that determines a character's aptitudes. Weight is a measure of physical aptitude.
Introduction
A role-playing game is a game in which the players play roles. Way of the Geeky is a role-playing game.
Each player (except for the GeekMod) takes on the specific role of a single character. The player designs and develops their character in the context of the game's setting and makes every choice for that character as the game progresses.
The remaining person is the GeekMod. They have the task of running every other aspect of the setting's environment with which the players' characters interact. This includes playing the roles of anyone they encounter, and deciding on the results of any actions that the players try to get their characters to perform.
The game itself is a way to pass the time for fun, with everyone involved helping to construct a collaborative story. The object of the game is to have fun.
In order to provide some structure to the game, there are some rules. These exist to balance the characters so that they must work together to achieve their goals. And they also provide a mechanism for determining the results of random actions, which heightens dramatic tension and retains the possibility of surprising events.
This document, with the unexplained title of 200 yahoo boots fuck yahoo messenger how's want boots, codifies these core rules for Way of the Geeky.
Playing the game
The GeekMod typically organises the game. A single game may be split into any number of sessions of arbitrary length that do not necessarily need to be determined in advance. Each session is a single instance of time (in real life, as opposed to in the game) during which the players get together to play.
At the start of the first session, the players will need to create their characters following the rules for character creation. A character is interesting if they have various goals that they can strive to achieve. A group of characters work best if they have good reasons to be associated with each other. (More detailed tips on good role-playing may be found on Role-Playing Game Geek, amongst other places.)
The GeekMod sets the scene for the session, describing the environment with which the characters can interact. The players announce what actions they wish their characters to perform within this context. Together this narrative collaboration continues with the result of a story to which all of the players have contributed.
At the end of each session, or periodically as they see fit, the GeekMod should reward players with GeekGold that they can use to increase their character's abilities. Players may spend this GeekGold at any time.
The game lasts as many sessions as required in order to tell the story, for as long as the participants wish the game to continue. Again, note that the aim of the game is to have fun.
Attributes
Characters have a rating of 1 to 10 in each of the following erroneously-named oversimplified attributes:
- Weight represents a character's physical aptitude.
- This includes strength, constitution, manual dexterity, athletic and gymnastic potential.
- This does not, in fact, include weight itself per se; if your character is grossly obese then they probably have a low physical aptitude, even if they weigh a lot.
- Geek represents a character's mental aptitude.
- This includes deductive ability, learning capacity, concentration, education and general knowledge.
- This does not include specific detailed knowledge about everything ever; specialist knowledge is not part of general knowledge.
- Chit Chat represents a character's social aptitude.
- This includes communicative effectiveness, charisma, empathy, and the potential to influence others.
- This does not, in fact, measure how talkative your character is; a verbose character that constantly miscommunicates will have a low Chit Chat rating. Whereas a character may have a high Chit Chat and be someone of few words, but when they do speak they have a powerful authority.
- This also does not include how likeable your character is; your character can be a vicious self-serving bastard, but still have the ability to manipulate others exceptionally.
- Soul represents a character's spiritual aptitude.
- This includes willpower, magical ability (if allowed for in your setting), strength of convictions and faith.
- This does not, in fact, measure how much of a soul the character has. Indeed, they may have sold their soul for great magical power leading them to have a high rating in Soul but no actual soul.
A higher rating is better than a lower rating. Consider a rating of 1 to be equivalent to a normal amoeba, and a rating of 10 to be the peak of ideal perfection which the characters may strive to attain. The other ratings follow in a smooth scale between these two extremes.
Although the permanent rating of an attribute may only range from 1 to 10, temporary adjustments may raise or lower the attribute beyond these limits. The adjustments may be due to circumstantial bonuses from MicroBadges, or the effects of status tags, for example.
Action resolution
For the most part, the GeekMod should decide on the outcome of events in a manner that best fulfils their vision of how the game should best progress. Therefore the GeekMod may arbitrarily decide what happens during the game, and their decision is final.
There may be some times when the GeekMod would prefer to defer responsibility for a particular outcome to an external decision maker. For just such occasions these rules include a method for randomly determining the outcome of character actions based upon the character's ability and the difficulty of the task at hand. We refer to these random decision making processes as tests.
Frankly some of the rules below are somewhat vague. That is because these rules are not meant to be strict orders that you must always follow. Rather the game should be more flexible, with the GeekMod able to make interpretations that lead to an interesting story.
Tests
The GeekMod may decide to use the following method to determine randomly whether an action succeeds or not.
- The GeekMod determines the type of challenge (physical/mental/social/spiritual) and the difficulty level.
- The player notes the rating of their appropriate attribute, making any adjustments as necessary for this action.
- The player then draws this number of cards from a shuffled standard 96-card Busen Memo deck. (Remember to shuffle the deck between tests, after returning drawn cards to the deck.)
- For each card drawn, the player carefully inspects the picture (veeerrry caaarrrefully) and counts the number of cards showing right breasts.
- Once per session a player may exclaim, "I feel like a right tit!" to add one to this count. This exclamation may be made after the cards are drawn.
- If the count is greater than or equal to the difficulty level of the action, then the player has succeeded.
- If there is a matching pair of breasts amongst the drawn cards, the action automatically succeeds regardless of the difficulty level.
- If there is more than one matching pair of breasts, the GeekMod may decide that a particularly beneficial event occurs.
Given that this document is an HTML file, you may discover that essential equipment has not been included in your "purchase", including paper, pencils, and a shrink-wrapped copy of Busen Memo. You may therefore find some merit in the following section on probability distributions, and use some other determinant of random numbers to generate percentile values.
This table shows the probabilities of success (to the nearest 1%) for a given attribute rating and difficulty level:
| | Difficulty level
|
|---|
| Attribute rating | 1 | 2 | 3 | 4 | 5
|
|---|
| 1 | 50% | 0% | 0% | 0% | 0%
|
|---|
| 2 | 76% | 26% | 1% | 1% | 1%
|
|---|
| 3 | 88% | 52% | 15% | 3% | 3%
|
|---|
| 4 | 95% | 71% | 35% | 12% | 6%
|
|---|
| 5 | 97% | 84% | 55% | 27% | 13%
|
|---|
| 6 | 99% | 91% | 71% | 44% | 24%
|
|---|
| 7 | 100% | 96% | 83% | 60% | 38%
|
|---|
| 8 | 100% | 98% | 90% | 74% | 53%
|
|---|
| 9 | 100% | 99% | 95% | 84% | 67%
|
|---|
| 10 | 100% | 100% | 97% | 91% | 78%
|
|---|
Difficulty levels
The difficulty level should represent how hard it is for the action to succeed, in the GeekMod's opinion. The difficulty level usually ranges from 1 to 5, although the GeekMod may select any arbitrarily high difficulty level as they see fit.
The levels vaguely correspond to these qualitative descriptions, and the GeekMod should decide which level is most appropriate for the task in question according to their best judgement:
- Very easy
- Quite easy
- Moderate
- Quite difficult
- Very difficult
The effective difficulty level will depend greatly on context. For example in a game set in the modern day where the characters are capable adults from professional backgrounds, a test to find a particular file on someone else's computer might be a quite easy test of Geek (difficulty level of 2). The same test in a game where the characters are intelligent rabbits but with no knowledge of computers may be very difficult (difficulty level 5).
Ridiculous actions
The GeekMod may refuse to allow such a test for any action that they determine to be utterly impossible. This then removes the possibility of the player drawing a matching pair of breasts and succeeding, regardless of the arbitrarily high difficulty that the GeekMod may impose.
The GeekMod may also automatically allow certain actions to succeed automatically without requiring a test. One should test only those actions whose resolutions add to the dramatic tension of the scene being played.
In a historical game set in the World War II era, the group of characters are a squad of soldiers on a difficult mission in disputed territory. In a particular scene, the squad is in a desparate situation: they have run out of ammunition for their guns, and an enemy tank is currently bearing down upon their weakly-fortified position.
The GeekMod asks the players how they react. One player declares that he will attempt to disable the tank's ability to move by throwing his gun into the tank's tracks in order to jam them. The GeekMod decides that this heroic effort is also particularly foolhardy as the tank will not be stopped by such a puny effort. The action is deemed to be impossible and the player automatically fails in their attempt.
Border cases
An action tested against an adjusted attribute score of 0 (or less) will always fail. This may be possible due to negative adjustments from any tags that apply to the character, for example.
Otherwise, an action with a difficulty level of 0 will always succeed.
In either case you don't need to draw cards (although some people may still wish to if they want to see boobies).
Extended actions
These are actions that are performed over a longer period of time. For example:
- Eating pie (physical)
- Calculating pi (mental)
- Political oration (social)
- Singing 99 Bottles of Beer (spiritual)
The GeekMod determines how many tests will be required for this action, and the difficulty level of each test. The character must then perform a test as many times as required. Failing one of the tests may result in the entire action failing, or just requiring more time (further tests) depending on what the action is. Drawing any matching pairs may result in the entire action succeeding automatically, or reduce the amount of time the action will take (reducing the number of remaining tests required).
The party of four characters are a group of pirates from the same ship, in a historical game set in the 1700s. It is late in the evening and the characters have fled a particular port in a hurry in an effort to evade the local militia. The harbour is guarded, so they have instead managed to steal a rowing boat from a shipwright's yard further along the coast. They have carried the boat to the sea and set forth in order to return to their vessel further down the coast, but they have also now discovered why this boat was in the shipwright's: it had developed a leak, and is now taking on water.
The characters decide that those two members of the party that are not rowing should bail the water out, and trust that they will return to the safety of their ship before the rowing boat sinks. The GeekMod determines that this is an extended test of Weight. The players that are bailing water must both test their Weight and get at least three successes combined each turn. Given the distance from shore to ship, they will need to succeed five times in order to reach the ship without incident.
If they fail at any point, the group will have reached a point proportionally between shore and ship when the boat sinks from under them (from just off the coast if they fail the first test, to just short of the ship if they fail the fifth test). If any test results in a matching pair, they also find the exact source of the leak and may attempt to plug it and therefore make the rest of the journey in relative safety.
Contested actions
These are actions where two or more characters are competing against each other. For example:
In these circumstances, both characters test the appropriate attribute for the action and the winner is the character with the higher count. Matching pairs do not affect the outcome, but the GeekMod may decide that a particularly beneficial event occurs.
If both characters have the same count then the test is drawn, and the contested action remains unresolved.
This table shows the probabilities of success (to the nearest 1%) for a character with the attribute rating as in the first column to win a contested action against a character with an attribute rating as in the first row:
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
|
|---|
| 1 | 25% | 12% | 6% | 3% | 1% | 1% | 0% | 0% | 0% | 0%
|
|---|
| 2 | 50% | 31% | 18% | 11% | 6% | 3% | 2% | 1% | 0% | 0%
|
|---|
| 3 | 69% | 50% | 34% | 22% | 14% | 8% | 5% | 3% | 2% | 1%
|
|---|
| 4 | 82% | 66% | 50% | 36% | 25% | 17% | 11% | 7% | 4% | 2%
|
|---|
| 5 | 90% | 78% | 64% | 50% | 37% | 27% | 19% | 13% | 8% | 5%
|
|---|
| 6 | 94% | 86% | 75% | 63% | 50% | 38% | 28% | 20% | 14% | 10%
|
|---|
| 7 | 97% | 92% | 84% | 73% | 62% | 50% | 39% | 30% | 22% | 16%
|
|---|
| 8 | 98% | 95% | 89% | 81% | 72% | 61% | 50% | 40% | 31% | 23%
|
|---|
| 9 | 99% | 97% | 93% | 88% | 80% | 70% | 60% | 50% | 40% | 32%
|
|---|
| 10 | 100% | 98% | 96% | 92% | 86% | 78% | 69% | 60% | 50% | 41%
|
|---|
Note that possibility of drawing the test can be derived from the values above. For example in a test between characters with attributes of 6 and 5, 6 will win with probability 50%, 5 with probability 27%, and therefore there will be a draw with probability 23%. Sure, we could have given you the draw probabilities explicitly, but you could also buy a Busen Memo deck instead of having to rely on these tables.
In a game with a futuristic fantasy setting, the players are debating over what to do next. This is reflected by an in character argument between two of the characters in particular. One of these, an impatient alien with telepathic abilities, attempts to cut the conversation short by using his powers to change the mind of the other character.
Both players test their character's Soul, representing the force of will of one character versus the other character's willpower. If the telepathic alien wins, he will successfully end the debate in his favour. If he loses then his colleague will be unmoved, and aware of the attempted psychic intrusion. In the case of a draw, the attempt fails and may not be repeated immediately but remains unnoticed.
Extended contested actions
It is readily possible that an action is both extended and contested, in which case a combination of the above rules applies. For example:
- Drinking games (physical)
- Wikipedia anti-vandalism versus vandalism (mental)
- Psychiatric evaluation (social)
- Interrogation (spiritual)
The two characters make tests as per a contested action. The GeekMod keeps track of wins and losses, offsetting them against each other, until one of the characters has a clear lead of a sufficient margin as determined by the GeekMod. Matching pairs may win the entire action or swing its progress as determined by the GeekMod.
In a historical game set in Renaissance Italy, two of the players have both decided that their noblemen characters are trying to win the affection of the same lady. In order to resolve the conflict between themselves, they agree to fight an honourable duel. At the appointed hour, they meet and draw rapiers with the winner to be determined as the person who draws first blood.
Because of the pivotal nature of the duel in this story, the GeekMod decides to make this contested action extended so that the dramatic tension will be heightened. The players will make contested Weight tests to see who gains the upper hand as the battle progresses. The results of each test are noted, and the duel continues until one of the swordsmen has a clear margin of three wins. For any test in which a player draws a matching pair, that player scores an additional win. Multiple matching pairs on one test do not provide any additional bonus.
Of course as the fight progresses, the players and GeekMod should narrate the combat appropriately, describing their actions. Although this will not affect the result in this example, the GeekMod may tip good narratives with GeekGold.
Character creation
A player creates a character's game statistics by rating each of the four attributes from a minimum of 1 to a maximum of 10. The player has 20 points to split between these four attributes. (This gives a total of 633 different attribute configurations for starting characters.)
A new character starts with 0 GeekGold and no upgrades.
A game is set in a magical world of confectionery where sweets and biscuits are anthropomorphic living creatures. The player decides to create a character that is a stick of rock, called Blackpool. His starting attributes are set according to the character's design:
- Weight 4: Blackpool is tall and quite strong, but he is also brittle; although he can take a bit of bashing, too much will make him crumble.
- Geek 6: He has travelled far and seen many things in his time, giving him a wordly knowledge. His experiences allow him to handle new situations quite well.
- Chit Chat 2: Blackpool cannot speak; instead he communicates by changing the wording that runs through his body. This is effective up to a point, but he is limited to using single words or short phrases for the most part.
- Soul 8: He is a strong traditionalist and believes that if something isn't broken then it doesn't need fixing. This can also make him stubborn and resistant to change.
The people that the players' characters interact with may also have attributes and upgrades. These non-player characters do not necessarily have to use the same character creation rules, and may have any appropriate attribute ratings as determined by the GeekMod.
Character development
True character development is not to be found in an ever-growing list of powers. A character develops when their story grows: through interaction with others that leaves them altered; through aspiration towards and possibly even attainment of life goals; through conflict and overcoming adversity. We'll leave all that kind of stuff to a later supplement though. Instead, here's how to make your character more powerful by bumping up their stats...
The GeekMod awards players GeekGold at the end of each session. These awards should be commensurate to the amount that the player positively contributed to the game, and should range from 1 to 5 GeekGold per session.
The GeekMod may also choose to tip some GeekGold to a player at any time in order to instantly reward their actions. This is to be encouraged because it will positively reinforce behaviours in players that please their GeekMod. Occasional tips of 1 GeekGold should be sufficient.
Players may raise their thumbs to also show their approval of other players' actions. This has absolutely no impact on the game, but it may give them a warm and fuzzy feeling in the pit of their stomach.
Players may spend GeekGold on various upgrades:
- It costs 30 GeekGold to buy an Avatar
- It costs 50 GeekGold to buy a GeekBadge
- It costs 50 GeekGold to upgrade a GeekBadge to an UberGeekBadge
- It costs 8 GeekGold for each MicroBadge that the player buys
Avatar and Badges
Purchasing these upgrades increases a character's attributes. These increases are cumulative with each other if they are applied to the same attribute. They are fixed, in that once purchased the increase cannot be transfered to a different attribute. They may not raise an attribute's rating above 10.
- Avatar
- The player may permanently add 1 to one of the character's attributes.
- Additionally, the GeekMod should award a small additional ability to characters with an Avatar, preferably somehow relating to appearance. To be consistent, this bonus should be the same across all characters with an Avatar within the same game. The GeekMod should use something appropriate to the setting and theme of the game they are running, and remember that only one of these bonuses should be used. Some examples of what this reward may be follow:
- For a game in which one plays a ghost of someone that has died, having an Avatar allows the character to visibly manifest in front of living beings.
- For a game in which one plays a cartoon character, having an Avatar upgrades that character from a black and white image to a colour image.
- For a game with high levels of magic, the player may choose to change the character's appearance at any time. They will still be recognisably the same person, and they may not imitate others using this ability, but any cosmetic changes in appearance are allowed.
- GeekBadge
- The player may permanently add 2 to one of the character's attributes.
- UberGeekBadge
- This may only be purchased if the character already has a GeekBadge. The player may permanently add 2 to one of the character's attributes. This does not need to be to the same attribute that was increased upon purchasing a GeekBadge.
MicroBadges
Each MicroBadge gives a character an additional ability of some kind. There is no limit to the number of MicroBadges that a character may collect over time if they accumulate sufficient GeekGold, save that they cannot take the exact same MicroBadge twice. Here are some examples of possible MicroBadges:
- Profession
- The player chooses a particular profession for each purchase of this type of MicroBadge. This MicroBadge may be purchased multiple times, with a different profession specified each time. Their character gets +1 to their attribute on tests relating to their profession. Since this is a temporary bonus, it allows the character's effective attribute to exceed 10.
The character Sue de Nîmes is trying to intimidate a bouncer into letting her pass. She decides to creep him out by telling him, "I know when you'll die." The GeekMod determines that this is a Chit Chat challenge contested by the bouncer's Soul (which the GeekMod decides is 7). Sue has a Chit Chat rating of 5 and the MicroBadge "Profession: Actuary" which gives her a keen understanding of mortality statistics, so she draws 6 cards.
- Interest
- The player chooses a specific area of interest for each purchase of this type of MicroBadge. This MicroBadge may be purchased multiple times, with a different interest specified each time. The effect of the MicroBadge varies depending on whether the GeekMod decides that the focus of the interest is general or specific. A character with a general interest gets +1 to their attribute on tests relating to their interest. A character with a specific interest gets +2 to their attribute on tests relating to their interest. Since this is a temporary bonus, it allows the character's effective attribute to exceed 10.
- The split between general and specific is at the discretion of the GeekMod, and will vary according to the setting of the game. Multiple MicroBadges with overlapping fields of interest do stack.
A character with the generic "Interest: Music" and the specific "Interest: Devin Townsend" would gain a +3 bonus to their attribute on a test relating to Strapping Young Lad's discography.
- BGG is down
- Once per game session the player may reduce by 1 the difficulty of an action their character is attempting to perform. They must declare that they are using this ability before drawing cards. This affects only one draw of the cards (so does not affect the entirety of an extended action).
- Fan: Spinal Tap
- One of the character's attributes may permanently go to 11. This specifically supersedes the rules above that state that Avatars and GeekBadges may not raise an attribute's rating above 10. Without an Avatar or GeekBadge that raises the attribute to 11, this MicroBadge has no practical effect.
Details of more MicroBadges may be found in the supplements that expand these core rules.
There are no hit points in this game. Modern role-playing games evolved from wargames. In wargames, the amount of damage that a unit could sustain was a model of the number of soldiers in that unit. Powerful individual characters were given the ability to sustain multiple hits in order to increase their survivability. This was carried on into RPGs where characters had several hit points, used to model the amount of damage they could endure before being neutralised. It's a rather dull model and introduces some unnecessary complications.
Instead, various effects that a character can be under are modelled as a set of status "tags" that for the most part modify their attributes directly or have some qualitative impact. Here is a list of some basic tags and the effects that they have:
- Hallucinations
- The character experiences sensory perceptions that are not real.
- Luck
- The difficulty levels for all tests that the character attempts whilst they have this tag are reduced by 1 (if it's good luck) or increased by 1 (if it's bad luck).
- Paralysis
- The character cannot consciously move the muscles associated with the somatic nervous system.
You're confused about whether, when we say "right breast", we mean your right as you look at the picture, or the model's right. Very well, let's take you through the logic of this calmly and slowly.
I'm assuming that you know which is your right hand. As you stand with your hands by your side, arms straight down, your right hand is on your right hand side. Obviously.
Now if you look at a photo of yourself standing like that and facing the camera, your right hand is on the left hand side of the photo. But it's still your right hand.
So when we say "right breast" we mean to refer to the model's right.
But seriously, so long as you're consistent within your circle of players and you all have the same understanding of right and left before any cards are drawn, then it really doesn't matter.
The probability distributions above have been calculated using the following formulae. These are given here so that you can extend the tables if you need to (and you can understand the mathematics involved). Note that I derived these from first principles, so feel free to check my formulae and calculations to make sure that I haven't made any mistakes.
Probability of right breasts
The probability of getting exactly k right breasts when drawing n cards from a deck of p pairs is:
!%7D%7Bk!%5Cleft(n-k%5Cright)!%5Cleft(p-k%5Cright)!%5Cleft(p-n+k%5Cright)!%5Cleft(2p%5Cright)!%7D)
And is valid when k, n and p are non-negative integers with k≤n and n-k≤p (the probability is zero everywhere else).
The probabilities rounded to the nearest 1% are as listed in this table (with k in the top row, n in the leftmost column, and p=48):
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
|
|---|
| 0 | 100% | — | — | — | — | — | — | — | — | — | — | — | — | — | — | —
|
|---|
| 1 | 50% | 50% | — | — | — | — | — | — | — | — | — | — | — | — | — | —
|
|---|
| 2 | 25% | 51% | 25% | — | — | — | — | — | — | — | — | — | — | — | — | —
|
|---|
| 3 | 12% | 38% | 38% | 12% | — | — | — | — | — | — | — | — | — | — | — | —
|
|---|
| 4 | 6% | 25% | 38% | 25% | 6% | — | — | — | — | — | — | — | — | — | — | —
|
|---|
| 5 | 3% | 15% | 32% | 32% | 15% | 3% | — | — | — | — | — | — | — | — | — | —
|
|---|
| 6 | 1% | 9% | 24% | 32% | 24% | 9% | 1% | — | — | — | — | — | — | — | — | —
|
|---|
| 7 | 1% | 5% | 16% | 28% | 28% | 16% | 5% | 1% | — | — | — | — | — | — | — | —
|
|---|
| 8 | 0% | 3% | 10% | 22% | 29% | 22% | 10% | 3% | 0% | — | — | — | — | — | — | —
|
|---|
| 9 | 0% | 1% | 6% | 16% | 26% | 26% | 16% | 6% | 1% | 0% | — | — | — | — | — | —
|
|---|
| 10 | 0% | 1% | 4% | 11% | 21% | 26% | 21% | 11% | 4% | 1% | 0% | — | — | — | — | —
|
|---|
| 11 | 0% | 0% | 2% | 7% | 16% | 24% | 24% | 16% | 7% | 2% | 0% | 0% | — | — | — | —
|
|---|
| 12 | 0% | 0% | 1% | 5% | 12% | 20% | 24% | 20% | 12% | 5% | 1% | 0% | 0% | — | — | —
|
|---|
| 13 | 0% | 0% | 1% | 3% | 8% | 16% | 22% | 22% | 16% | 8% | 3% | 1% | 0% | 0% | — | —
|
|---|
| 14 | 0% | 0% | 0% | 2% | 5% | 12% | 19% | 23% | 19% | 12% | 5% | 2% | 0% | 0% | 0% | —
|
|---|
| 15 | 0% | 0% | 0% | 1% | 3% | 9% | 16% | 21% | 21% | 16% | 9% | 3% | 1% | 0% | 0% | 0%
|
|---|
Probability of matching pairs
The probability of getting exactly k matching pairs when drawing n cards from a deck of p pairs is:
!!%5Cleft(%5Cbegin%7Barray%7Dn%5C%5Cn-2k%5Cend%7Barray%7D%5Cright)%5Cfrac%7B%5Cleft(2p%5Cright)!!%5Cmiddle/%5Cleft(2p-2n+2k%5Cright)!!%7D%7B%5Cleft(2p%5Cright)!%5Cmiddle/%5Cleft(2p-n%5Cright)!%7D)
This expression simplifies to:
%7Dn!p!%5Cleft(2p-n%5Cright)!%7D%7Bk!%5Cleft(n-2k%5Cright)!%5Cleft(p-n+k%5Cright)!%5Cleft(2p%5Cright)!%7D)
And is valid when k, n and p are non-negative integers with 2k≤n and n-k≤p (the probability is zero everywhere else).
The probabilities rounded to the nearest 1% are as listed in this table (with k in the top row, n in the leftmost column, and p=48):
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7
|
|---|
| 0 | 100% | — | — | — | — | — | — | —
|
|---|
| 1 | 100% | — | — | — | — | — | — | —
|
|---|
| 2 | 99% | 1% | — | — | — | — | — | —
|
|---|
| 3 | 97% | 3% | — | — | — | — | — | —
|
|---|
| 4 | 94% | 6% | 0% | — | — | — | — | —
|
|---|
| 5 | 90% | 10% | 0% | — | — | — | — | —
|
|---|
| 6 | 85% | 15% | 1% | 0% | — | — | — | —
|
|---|
| 7 | 79% | 20% | 1% | 0% | — | — | — | —
|
|---|
| 8 | 73% | 25% | 2% | 0% | 0% | — | — | —
|
|---|
| 9 | 66% | 30% | 4% | 0% | 0% | — | — | —
|
|---|
| 10 | 59% | 34% | 6% | 0% | 0% | 0% | — | —
|
|---|
| 11 | 52% | 38% | 9% | 1% | 0% | 0% | — | —
|
|---|
| 12 | 46% | 41% | 12% | 1% | 0% | 0% | 0% | —
|
|---|
| 13 | 39% | 42% | 16% | 2% | 0% | 0% | 0% | —
|
|---|
| 14 | 33% | 43% | 20% | 4% | 0% | 0% | 0% | 0%
|
|---|
| 15 | 27% | 42% | 24% | 6% | 1% | 0% | 0% | 0%
|
|---|
The following two tables give the first four central moments and standard deviation of the probability distributions for the events that can occur upon drawing a number of cards as in the leftmost columns. The first table gives the statistics for the number of right breasts drawn. The second table gives the statistics for the number of matching pairs drawn.
All numbers are quoted to five decimal places, except where they have exact values.
Number of right breasts
| | Mean | Standard
Deviation | Variance | Skewness | Kurtosis
|
|---|
| 1 | 0.5 | 0.5 | 0.25 | 0 | 0.0625
|
|---|
| 2 | 1 | 0.70338 | 0.49474 | 0 | 0.49474
|
|---|
| 3 | 1.5 | 0.85686 | 0.73421 | 0 | 1.27303
|
|---|
| 4 | 2 | 0.98408 | 0.96842 | 0 | 2.37419
|
|---|
| 5 | 2.5 | 1.09424 | 1.19737 | 0 | 3.77557
|
|---|
| 6 | 3 | 1.19208 | 1.42105 | 0 | 5.45501
|
|---|
| 7 | 3.5 | 1.28042 | 1.63947 | 0 | 7.39085
|
|---|
| 8 | 4 | 1.36111 | 1.85263 | 0 | 9.56197
|
|---|
| 9 | 4.5 | 1.43545 | 2.06053 | 0 | 11.94773
|
|---|
| 10 | 5 | 1.50438 | 2.26316 | 0 | 14.52801
|
|---|
| 11 | 5.5 | 1.56861 | 2.46053 | 0 | 17.28321
|
|---|
| 12 | 6 | 1.62869 | 2.65263 | 0 | 20.19423
|
|---|
| 13 | 6.5 | 1.68507 | 2.83947 | 0 | 23.24247
|
|---|
| 14 | 7 | 1.73812 | 3.02105 | 0 | 26.40985
|
|---|
| 15 | 7.5 | 1.78812 | 3.19737 | 0 | 29.67880
|
|---|
Number of matching pairs
| | Mean | Standard
Deviation | Variance | Skewness | Kurtosis
|
|---|
| 1 | 0 | 0 | 0 | 0 | 0
|
|---|
| 2 | 0.01053 | 0.10206 | 0.01042 | 0.0102 | 0.01009
|
|---|
| 3 | 0.03158 | 0.17488 | 0.03058 | 0.02865 | 0.02778
|
|---|
| 4 | 0.06316 | 0.24464 | 0.05985 | 0.0536 | 0.05292
|
|---|
| 5 | 0.10526 | 0.31238 | 0.09758 | 0.08347 | 0.08728
|
|---|
| 6 | 0.15789 | 0.37835 | 0.14315 | 0.11682 | 0.13406
|
|---|
| 7 | 0.22105 | 0.44267 | 0.19596 | 0.15239 | 0.19755
|
|---|
| 8 | 0.29474 | 0.50538 | 0.25541 | 0.18905 | 0.28280
|
|---|
| 9 | 0.37895 | 0.56649 | 0.32092 | 0.22581 | 0.39526
|
|---|
| 10 | 0.47368 | 0.62604 | 0.39192 | 0.26181 | 0.54058
|
|---|
| 11 | 0.57895 | 0.68401 | 0.46788 | 0.29631 | 0.72434
|
|---|
| 12 | 0.69474 | 0.74043 | 0.54824 | 0.32869 | 0.95186
|
|---|
| 13 | 0.82105 | 0.79529 | 0.63249 | 0.35843 | 1.22804
|
|---|
| 14 | 0.95789 | 0.84860 | 0.72013 | 0.38510 | 1.55718
|
|---|
| 15 | 1.10526 | 0.90036 | 0.81065 | 0.40837 | 1.94294
|
|---|
Yes. Really. You seem to question this statement of fact, so here they all are for your consideration:
| # | W | G | C | S
|
|---|
| 1 | 1 | 1 | 8 | 10 |
| 2 | 1 | 1 | 9 | 9 |
| 3 | 1 | 1 | 10 | 8
|
| 4 | 1 | 2 | 7 | 10 |
| 5 | 1 | 2 | 8 | 9 |
| 6 | 1 | 2 | 9 | 8
|
| 7 | 1 | 2 | 10 | 7 |
| 8 | 1 | 3 | 6 | 10 |
| 9 | 1 | 3 | 7 | 9
|
| 10 | 1 | 3 | 8 | 8 |
| 11 | 1 | 3 | 9 | 7 |
| 12 | 1 | 3 | 10 | 6
|
| 13 | 1 | 4 | 5 | 10 |
| 14 | 1 | 4 | 6 | 9 |
| 15 | 1 | 4 | 7 | 8
|
| 16 | 1 | 4 | 8 | 7 |
| 17 | 1 | 4 | 9 | 6 |
| 18 | 1 | 4 | 10 | 5
|
| 19 | 1 | 5 | 4 | 10 |
| 20 | 1 | 5 | 5 | 9 |
| 21 | 1 | 5 | 6 | 8
|
| 22 | 1 | 5 | 7 | 7 |
| 23 | 1 | 5 | 8 | 6 |
| 24 | 1 | 5 | 9 | 5
|
| 25 | 1 | 5 | 10 | 4 |
| 26 | 1 | 6 | 3 | 10 |
| 27 | 1 | 6 | 4 | 9
|
| 28 | 1 | 6 | 5 | 8 |
| 29 | 1 | 6 | 6 | 7 |
| 30 | 1 | 6 | 7 | 6
|
| 31 | 1 | 6 | 8 | 5 |
| 32 | 1 | 6 | 9 | 4 |
| 33 | 1 | 6 | 10 | 3
|
| 34 | 1 | 7 | 2 | 10 |
| 35 | 1 | 7 | 3 | 9 |
| 36 | 1 | 7 | 4 | 8
|
| 37 | 1 | 7 | 5 | 7 |
| 38 | 1 | 7 | 6 | 6 |
| 39 | 1 | 7 | 7 | 5
|
| 40 | 1 | 7 | 8 | 4 |
| 41 | 1 | 7 | 9 | 3 |
| 42 | 1 | 7 | 10 | 2
|
| 43 | 1 | 8 | 1 | 10 |
| 44 | 1 | 8 | 2 | 9 |
| 45 | 1 | 8 | 3 | 8
|
| 46 | 1 | 8 | 4 | 7 |
| 47 | 1 | 8 | 5 | 6 |
| 48 | 1 | 8 | 6 | 5
|
| 49 | 1 | 8 | 7 | 4 |
| 50 | 1 | 8 | 8 | 3 |
| 51 | 1 | 8 | 9 | 2
|
| 52 | 1 | 8 | 10 | 1 |
| 53 | 1 | 9 | 1 | 9 |
| 54 | 1 | 9 | 2 | 8
|
| 55 | 1 | 9 | 3 | 7 |
| 56 | 1 | 9 | 4 | 6 |
| 57 | 1 | 9 | 5 | 5
|
| 58 | 1 | 9 | 6 | 4 |
| 59 | 1 | 9 | 7 | 3 |
| 60 | 1 | 9 | 8 | 2
|
| 61 | 1 | 9 | 9 | 1 |
| 62 | 1 | 10 | 1 | 8 |
| 63 | 1 | 10 | 2 | 7
|
| 64 | 1 | 10 | 3 | 6 |
| 65 | 1 | 10 | 4 | 5 |
| 66 | 1 | 10 | 5 | 4
|
| 67 | 1 | 10 | 6 | 3 |
| 68 | 1 | 10 | 7 | 2 |
| 69 | 1 | 10 | 8 | 1
|
| 70 | 2 | 1 | 7 | 10 |
| 71 | 2 | 1 | 8 | 9 |
| 72 | 2 | 1 | 9 | 8
|
| 73 | 2 | 1 | 10 | 7 |
| 74 | 2 | 2 | 6 | 10 |
| 75 | 2 | 2 | 7 | 9
|
| 76 | 2 | 2 | 8 | 8 |
| 77 | 2 | 2 | 9 | 7 |
| 78 | 2 | 2 | 10 | 6
|
| 79 | 2 | 3 | 5 | 10 |
| 80 | 2 | 3 | 6 | 9 |
| 81 | 2 | 3 | 7 | 8
|
| 82 | 2 | 3 | 8 | 7 |
| 83 | 2 | 3 | 9 | 6 |
| 84 | 2 | 3 | 10 | 5
|
| 85 | 2 | 4 | 4 | 10 |
| 86 | 2 | 4 | 5 | 9 |
| 87 | 2 | 4 | 6 | 8
|
| 88 | 2 | 4 | 7 | 7 |
| 89 | 2 | 4 | 8 | 6 |
| 90 | 2 | 4 | 9 | 5
|
| 91 | 2 | 4 | 10 | 4 |
| 92 | 2 | 5 | 3 | 10 |
| 93 | 2 | 5 | 4 | 9
|
| 94 | 2 | 5 | 5 | 8 |
| 95 | 2 | 5 | 6 | 7 |
| 96 | 2 | 5 | 7 | 6
|
| 97 | 2 | 5 | 8 | 5 |
| 98 | 2 | 5 | 9 | 4 |
| 99 | 2 | 5 | 10 | 3
|
| 100 | 2 | 6 | 2 | 10 |
| 101 | 2 | 6 | 3 | 9 |
| 102 | 2 | 6 | 4 | 8
|
| 103 | 2 | 6 | 5 | 7 |
| 104 | 2 | 6 | 6 | 6 |
| 105 | 2 | 6 | 7 | 5
|
| 106 | 2 | 6 | 8 | 4 |
| 107 | 2 | 6 | 9 | 3 |
| 108 | 2 | 6 | 10 | 2
|
| 109 | 2 | 7 | 1 | 10 |
| 110 | 2 | 7 | 2 | 9 |
| 111 | 2 | 7 | 3 | 8
|
| 112 | 2 | 7 | 4 | 7 |
| 113 | 2 | 7 | 5 | 6 |
| 114 | 2 | 7 | 6 | 5
|
| 115 | 2 | 7 | 7 | 4 |
| 116 | 2 | 7 | 8 | 3 |
| 117 | 2 | 7 | 9 | 2
|
| 118 | 2 | 7 | 10 | 1 |
| 119 | 2 | 8 | 1 | 9 |
| 120 | 2 | 8 | 2 | 8
|
| 121 | 2 | 8 | 3 | 7 |
| 122 | 2 | 8 | 4 | 6 |
| 123 | 2 | 8 | 5 | 5
|
| 124 | 2 | 8 | 6 | 4 |
| 125 | 2 | 8 | 7 | 3 |
| 126 | 2 | 8 | 8 | 2
|
| 127 | 2 | 8 | 9 | 1 |
| 128 | 2 | 9 | 1 | 8 |
| 129 | 2 | 9 | 2 | 7
|
| 130 | 2 | 9 | 3 | 6 |
| 131 | 2 | 9 | 4 | 5 |
| 132 | 2 | 9 | 5 | 4
|
| 133 | 2 | 9 | 6 | 3 |
| 134 | 2 | 9 | 7 | 2 |
| 135 | 2 | 9 | 8 | 1
|
| 136 | 2 | 10 | 1 | 7 |
| 137 | 2 | 10 | 2 | 6 |
| 138 | 2 | 10 | 3 | 5
|
| 139 | 2 | 10 | 4 | 4 |
| 140 | 2 | 10 | 5 | 3 |
| 141 | 2 | 10 | 6 | 2
|
| 142 | 2 | 10 | 7 | 1 |
| 143 | 3 | 1 | 6 | 10 |
| 144 | 3 | 1 | 7 | 9
|
| 145 | 3 | 1 | 8 | 8 |
| 146 | 3 | 1 | 9 | 7 |
| 147 | 3 | 1 | 10 | 6
|
| 148 | 3 | 2 | 5 | 10 |
| 149 | 3 | 2 | 6 | 9 |
| 150 | 3 | 2 | 7 | 8
|
| 151 | 3 | 2 | 8 | 7 |
| 152 | 3 | 2 | 9 | 6 |
| 153 | 3 | 2 | 10 | 5
|
| 154 | 3 | 3 | 4 | 10 |
| 155 | 3 | 3 | 5 | 9 |
| 156 | 3 | 3 | 6 | 8
|
| 157 | 3 | 3 | 7 | 7 |
| 158 | 3 | 3 | 8 | 6 |
| 159 | 3 | 3 | 9 | 5
|
| 160 | 3 | 3 | 10 | 4 |
| 161 | 3 | 4 | 3 | 10 |
| 162 | 3 | 4 | 4 | 9
|
| 163 | 3 | 4 | 5 | 8 |
| 164 | 3 | 4 | 6 | 7 |
| 165 | 3 | 4 | 7 | 6
|
| 166 | 3 | 4 | 8 | 5 |
| 167 | 3 | 4 | 9 | 4 |
| 168 | 3 | 4 | 10 | 3
|
| 169 | 3 | 5 | 2 | 10 |
| 170 | 3 | 5 | 3 | 9 |
| 171 | 3 | 5 | 4 | 8
|
| 172 | 3 | 5 | 5 | 7 |
| 173 | 3 | 5 | 6 | 6 |
| 174 | 3 | 5 | 7 | 5
|
| 175 | 3 | 5 | 8 | 4 |
| 176 | 3 | 5 | 9 | 3 |
| 177 | 3 | 5 | 10 | 2
|
| 178 | 3 | 6 | 1 | 10 |
| 179 | 3 | 6 | 2 | 9 |
| 180 | 3 | 6 | 3 | 8
|
| 181 | 3 | 6 | 4 | 7 |
| 182 | 3 | 6 | 5 | 6 |
| 183 | 3 | 6 | 6 | 5
|
| 184 | 3 | 6 | 7 | 4 |
| 185 | 3 | 6 | 8 | 3 |
| 186 | 3 | 6 | 9 | 2
|
| 187 | 3 | 6 | 10 | 1 |
| 188 | 3 | 7 | 1 | 9 |
| 189 | 3 | 7 | 2 | 8
|
| 190 | 3 | 7 | 3 | 7 |
| 191 | 3 | 7 | 4 | 6 |
| 192 | 3 | 7 | 5 | 5
|
| 193 | 3 | 7 | 6 | 4 |
| 194 | 3 | 7 | 7 | 3 |
| 195 | 3 | 7 | 8 | 2
|
| 196 | 3 | 7 | 9 | 1 |
| 197 | 3 | 8 | 1 | 8 |
| 198 | 3 | 8 | 2 | 7
|
| 199 | 3 | 8 | 3 | 6 |
| 200 | 3 | 8 | 4 | 5 |
| 201 | 3 | 8 | 5 | 4
|
| 202 | 3 | 8 | 6 | 3 |
| 203 | 3 | 8 | 7 | 2 |
| 204 | 3 | 8 | 8 | 1
|
| 205 | 3 | 9 | 1 | 7 |
| 206 | 3 | 9 | 2 | 6 |
| 207 | 3 | 9 | 3 | 5
|
| 208 | 3 | 9 | 4 | 4 |
| 209 | 3 | 9 | 5 | 3 |
| 210 | 3 | 9 | 6 | 2
|
| 211 | 3 | 9 | 7 | 1 |
| 212 | 3 | 10 | 1 | 6 |
| 213 | 3 | 10 | 2 | 5
|
| 214 | 3 | 10 | 3 | 4 |
| 215 | 3 | 10 | 4 | 3 |
| 216 | 3 | 10 | 5 | 2
|
| 217 | 3 | 10 | 6 | 1 |
| 218 | 4 | 1 | 5 | 10 |
| 219 | 4 | 1 | 6 | 9
|
| 220 | 4 | 1 | 7 | 8 |
| 221 | 4 | 1 | 8 | 7 |
| 222 | 4 | 1 | 9 | 6
|
| 223 | 4 | 1 | 10 | 5 |
| 224 | 4 | 2 | 4 | 10 |
| 225 | 4 | 2 | 5 | 9
|
| 226 | 4 | 2 | 6 | 8 |
| 227 | 4 | 2 | 7 | 7 |
| 228 | 4 | 2 | 8 | 6
|
| 229 | 4 | 2 | 9 | 5 |
| 230 | 4 | 2 | 10 | 4 |
| 231 | 4 | 3 | 3 | 10
|
| 232 | 4 | 3 | 4 | 9 |
| 233 | 4 | 3 | 5 | 8 |
| 234 | 4 | 3 | 6 | 7
|
| 235 | 4 | 3 | 7 | 6 |
| 236 | 4 | 3 | 8 | 5 |
| 237 | 4 | 3 | 9 | 4
|
| 238 | 4 | 3 | 10 | 3 |
| 239 | 4 | 4 | 2 | 10 |
| 240 | 4 | 4 | 3 | 9
|
| 241 | 4 | 4 | 4 | 8 |
| 242 | 4 | 4 | 5 | 7 |
| 243 | 4 | 4 | 6 | 6
|
| 244 | 4 | 4 | 7 | 5 |
| 245 | 4 | 4 | 8 | 4 |
| 246 | 4 | 4 | 9 | 3
|
| 247 | 4 | 4 | 10 | 2 |
| 248 | 4 | 5 | 1 | 10 |
| 249 | 4 | 5 | 2 | 9
|
| 250 | 4 | 5 | 3 | 8 |
| 251 | 4 | 5 | 4 | 7 |
| 252 | 4 | 5 | 5 | 6
|
| 253 | 4 | 5 | 6 | 5 |
| 254 | 4 | 5 | 7 | 4 |
| 255 | 4 | 5 | 8 | 3
|
| 256 | 4 | 5 | 9 | 2 |
| 257 | 4 | 5 | 10 | 1 |
| 258 | 4 | 6 | 1 | 9
|
| 259 | 4 | 6 | 2 | 8 |
| 260 | 4 | 6 | 3 | 7 |
| 261 | 4 | 6 | 4 | 6
|
| 262 | 4 | 6 | 5 | 5 |
| 263 | 4 | 6 | 6 | 4 |
| 264 | 4 | 6 | 7 | 3
|
| 265 | 4 | 6 | 8 | 2 |
| 266 | 4 | 6 | 9 | 1 |
| 267 | 4 | 7 | 1 | 8
|
| 268 | 4 | 7 | 2 | 7 |
| 269 | 4 | 7 | 3 | 6 |
| 270 | 4 | 7 | 4 | 5
|
| 271 | 4 | 7 | 5 | 4 |
| 272 | 4 | 7 | 6 | 3 |
| 273 | 4 | 7 | 7 | 2
|
| 274 | 4 | 7 | 8 | 1 |
| 275 | 4 | 8 | 1 | 7 |
| 276 | 4 | 8 | 2 | 6
|
| 277 | 4 | 8 | 3 | 5 |
| 278 | 4 | 8 | 4 | 4 |
| 279 | 4 | 8 | 5 | 3
|
| 280 | 4 | 8 | 6 | 2 |
| 281 | 4 | 8 | 7 | 1 |
| 282 | 4 | 9 | 1 | 6
|
| 283 | 4 | 9 | 2 | 5 |
| 284 | 4 | 9 | 3 | 4 |
| 285 | 4 | 9 | 4 | 3
|
| 286 | 4 | 9 | 5 | 2 |
| 287 | 4 | 9 | 6 | 1 |
| 288 | 4 | 10 | 1 | 5
|
| 289 | 4 | 10 | 2 | 4 |
| 290 | 4 | 10 | 3 | 3 |
| 291 | 4 | 10 | 4 | 2
|
| 292 | 4 | 10 | 5 | 1 |
| 293 | 5 | 1 | 4 | 10 |
| 294 | 5 | 1 | 5 | 9
|
| 295 | 5 | 1 | 6 | 8 |
| 296 | 5 | 1 | 7 | 7 |
| 297 | 5 | 1 | 8 | 6
|
| 298 | 5 | 1 | 9 | 5 |
| 299 | 5 | 1 | 10 | 4 |
| 300 | 5 | 2 | 3 | 10
|
| 301 | 5 | 2 | 4 | 9 |
| 302 | 5 | 2 | 5 | 8 |
| 303 | 5 | 2 | 6 | 7
|
| 304 | 5 | 2 | 7 | 6 |
| 305 | 5 | 2 | 8 | 5 |
| 306 | 5 | 2 | 9 | 4
|
| 307 | 5 | 2 | 10 | 3 |
| 308 | 5 | 3 | 2 | 10 |
| 309 | 5 | 3 | 3 | 9
|
| 310 | 5 | 3 | 4 | 8 |
| 311 | 5 | 3 | 5 | 7 |
| 312 | 5 | 3 | 6 | 6
|
| 313 | 5 | 3 | 7 | 5 |
| 314 | 5 | 3 | 8 | 4 |
| 315 | 5 | 3 | 9 | 3
|
| 316 | 5 | 3 | 10 | 2 |
| 317 | 5 | 4 | 1 | 10 |
| 318 | 5 | 4 | 2 | 9
|
| 319 | 5 | 4 | 3 | 8 |
| 320 | 5 | 4 | 4 | 7 |
| 321 | 5 | 4 | 5 | 6
|
| 322 | 5 | 4 | 6 | 5 |
| 323 | 5 | 4 | 7 | 4 |
| 324 | 5 | 4 | 8 | 3
|
| 325 | 5 | 4 | 9 | 2 |
| 326 | 5 | 4 | 10 | 1 |
| 327 | 5 | 5 | 1 | 9
|
| 328 | 5 | 5 | 2 | 8 |
| 329 | 5 | 5 | 3 | 7 |
| 330 | 5 | 5 | 4 | 6
|
| 331 | 5 | 5 | 5 | 5 |
| 332 | 5 | 5 | 6 | 4 |
| 333 | 5 | 5 | 7 | 3
|
| 334 | 5 | 5 | 8 | 2 |
| 335 | 5 | 5 | 9 | 1 |
| 336 | 5 | 6 | 1 | 8
|
| 337 | 5 | 6 | 2 | 7 |
| 338 | 5 | 6 | 3 | 6 |
| 339 | 5 | 6 | 4 | 5
|
| 340 | 5 | 6 | 5 | 4 |
| 341 | 5 | 6 | 6 | 3 |
| 342 | 5 | 6 | 7 | 2
|
| 343 | 5 | 6 | 8 | 1 |
| 344 | 5 | 7 | 1 | 7 |
| 345 | 5 | 7 | 2 | 6
|
| 346 | 5 | 7 | 3 | 5 |
| 347 | 5 | 7 | 4 | 4 |
| 348 | 5 | 7 | 5 | 3
|
| 349 | 5 | 7 | 6 | 2 |
| 350 | 5 | 7 | 7 | 1 |
| 351 | 5 | 8 | 1 | 6
|
| 352 | 5 | 8 | 2 | 5 |
| 353 | 5 | 8 | 3 | 4 |
| 354 | 5 | 8 | 4 | 3
|
| 355 | 5 | 8 | 5 | 2 |
| 356 | 5 | 8 | 6 | 1 |
| 357 | 5 | 9 | 1 | 5
|
| 358 | 5 | 9 | 2 | 4 |
| 359 | 5 | 9 | 3 | 3 |
| 360 | 5 | 9 | 4 | 2
|
| 361 | 5 | 9 | 5 | 1 |
| 362 | 5 | 10 | 1 | 4 |
| 363 | 5 | 10 | 2 | 3
|
| 364 | 5 | 10 | 3 | 2 |
| 365 | 5 | 10 | 4 | 1 |
| 366 | 6 | 1 | 3 | 10
|
| 367 | 6 | 1 | 4 | 9 |
| 368 | 6 | 1 | 5 | 8 |
| 369 | 6 | 1 | 6 | 7
|
| 370 | 6 | 1 | 7 | 6 |
| 371 | 6 | 1 | 8 | 5 |
| 372 | 6 | 1 | 9 | 4
|
| 373 | 6 | 1 | 10 | 3 |
| 374 | 6 | 2 | 2 | 10 |
| 375 | 6 | 2 | 3 | 9
|
| 376 | 6 | 2 | 4 | 8 |
| 377 | 6 | 2 | 5 | 7 |
| 378 | 6 | 2 | 6 | 6
|
| 379 | 6 | 2 | 7 | 5 |
| 380 | 6 | 2 | 8 | 4 |
| 381 | 6 | 2 | 9 | 3
|
| 382 | 6 | 2 | 10 | 2 |
| 383 | 6 | 3 | 1 | 10 |
| 384 | 6 | 3 | 2 | 9
|
| 385 | 6 | 3 | 3 | 8 |
| 386 | 6 | 3 | 4 | 7 |
| 387 | 6 | 3 | 5 | 6
|
| 388 | 6 | 3 | 6 | 5 |
| 389 | 6 | 3 | 7 | 4 |
| 390 | 6 | 3 | 8 | 3
|
| 391 | 6 | 3 | 9 | 2 |
| 392 | 6 | 3 | 10 | 1 |
| 393 | 6 | 4 | 1 | 9
|
| 394 | 6 | 4 | 2 | 8 |
| 395 | 6 | 4 | 3 | 7 |
| 396 | 6 | 4 | 4 | 6
|
| 397 | 6 | 4 | 5 | 5 |
| 398 | 6 | 4 | 6 | 4 |
| 399 | 6 | 4 | 7 | 3
|
| 400 | 6 | 4 | 8 | 2 |
| 401 | 6 | 4 | 9 | 1 |
| 402 | 6 | 5 | 1 | 8
|
| 403 | 6 | 5 | 2 | 7 |
| 404 | 6 | 5 | 3 | 6 |
| 405 | 6 | 5 | 4 | 5
|
| 406 | 6 | 5 | 5 | 4 |
| 407 | 6 | 5 | 6 | 3 |
| 408 | 6 | 5 | 7 | 2
|
| 409 | 6 | 5 | 8 | 1 |
| 410 | 6 | 6 | 1 | 7 |
| 411 | 6 | 6 | 2 | 6
|
| 412 | 6 | 6 | 3 | 5 |
| 413 | 6 | 6 | 4 | 4 |
| 414 | 6 | 6 | 5 | 3
|
| 415 | 6 | 6 | 6 | 2 |
| 416 | 6 | 6 | 7 | 1 |
| 417 | 6 | 7 | 1 | 6
|
| 418 | 6 | 7 | 2 | 5 |
| 419 | 6 | 7 | 3 | 4 |
| 420 | 6 | 7 | 4 | 3
|
| 421 | 6 | 7 | 5 | 2 |
| 422 | 6 | 7 | 6 | 1 |
| 423 | 6 | 8 | 1 | 5
|
| 424 | 6 | 8 | 2 | 4 |
| 425 | 6 | 8 | 3 | 3 |
| 426 | 6 | 8 | 4 | 2
|
| 427 | 6 | 8 | 5 | 1 |
| 428 | 6 | 9 | 1 | 4 |
| 429 | 6 | 9 | 2 | 3
|
| 430 | 6 | 9 | 3 | 2 |
| 431 | 6 | 9 | 4 | 1 |
| 432 | 6 | 10 | 1 | 3
|
| 433 | 6 | 10 | 2 | 2 |
| 434 | 6 | 10 | 3 | 1 |
| 435 | 7 | 1 | 2 | 10
|
| 436 | 7 | 1 | 3 | 9 |
| 437 | 7 | 1 | 4 | 8 |
| 438 | 7 | 1 | 5 | 7
|
| 439 | 7 | 1 | 6 | 6 |
| 440 | 7 | 1 | 7 | 5 |
| 441 | 7 | 1 | 8 | 4
|
| 442 | 7 | 1 | 9 | 3 |
| 443 | 7 | 1 | 10 | 2 |
| 444 | 7 | 2 | 1 | 10
|
| 445 | 7 | 2 | 2 | 9 |
| 446 | 7 | 2 | 3 | 8 |
| 447 | 7 | 2 | 4 | 7
|
| 448 | 7 | 2 | 5 | 6 |
| 449 | 7 | 2 | 6 | 5 |
| 450 | 7 | 2 | 7 | 4
|
| 451 | 7 | 2 | 8 | 3 |
| 452 | 7 | 2 | 9 | 2 |
| 453 | 7 | 2 | 10 | 1
|
| 454 | 7 | 3 | 1 | 9 |
| 455 | 7 | 3 | 2 | 8 |
| 456 | 7 | 3 | 3 | 7
|
| 457 | 7 | 3 | 4 | 6 |
| 458 | 7 | 3 | 5 | 5 |
| 459 | 7 | 3 | 6 | 4
|
| 460 | 7 | 3 | 7 | 3 |
| 461 | 7 | 3 | 8 | 2 |
| 462 | 7 | 3 | 9 | 1
|
| 463 | 7 | 4 | 1 | 8 |
| 464 | 7 | 4 | 2 | 7 |
| 465 | 7 | 4 | 3 | 6
|
| 466 | 7 | 4 | 4 | 5 |
| 467 | 7 | 4 | 5 | 4 |
| 468 | 7 | 4 | 6 | 3
|
| 469 | 7 | 4 | 7 | 2 |
| 470 | 7 | 4 | 8 | 1 |
| 471 | 7 | 5 | 1 | 7
|
| 472 | 7 | 5 | 2 | 6 |
| 473 | 7 | 5 | 3 | 5 |
| 474 | 7 | 5 | 4 | 4
|
| 475 | 7 | 5 | 5 | 3 |
| 476 | 7 | 5 | 6 | 2 |
| 477 | 7 | 5 | 7 | 1
|
| 478 | 7 | 6 | 1 | 6 |
| 479 | 7 | 6 | 2 | 5 |
| 480 | 7 | 6 | 3 | 4
|
| 481 | 7 | 6 | 4 | 3 |
| 482 | 7 | 6 | 5 | 2 |
| 483 | 7 | 6 | 6 | 1
|
| 484 | 7 | 7 | 1 | 5 |
| 485 | 7 | 7 | 2 | 4 |
| 486 | 7 | 7 | 3 | 3
|
| 487 | 7 | 7 | 4 | 2 |
| 488 | 7 | 7 | 5 | 1 |
| 489 | 7 | 8 | 1 | 4
|
| 490 | 7 | 8 | 2 | 3 |
| 491 | 7 | 8 | 3 | 2 |
| 492 | 7 | 8 | 4 | 1
|
| 493 | 7 | 9 | 1 | 3 |
| 494 | 7 | 9 | 2 | 2 |
| 495 | 7 | 9 | 3 | 1
|
| 496 | 7 | 10 | 1 | 2 |
| 497 | 7 | 10 | 2 | 1 |
| 498 | 8 | 1 | 1 | 10
|
| 499 | 8 | 1 | 2 | 9 |
| 500 | 8 | 1 | 3 | 8 |
| 501 | 8 | 1 | 4 | 7
|
| 502 | 8 | 1 | 5 | 6 |
| 503 | 8 | 1 | 6 | 5 |
| 504 | 8 | 1 | 7 | 4
|
| 505 | 8 | 1 | 8 | 3 |
| 506 | 8 | 1 | 9 | 2 |
| 507 | 8 | 1 | 10 | 1
|
| 508 | 8 | 2 | 1 | 9 |
| 509 | 8 | 2 | 2 | 8 |
| 510 | 8 | 2 | 3 | 7
|
| 511 | 8 | 2 | 4 | 6 |
| 512 | 8 | 2 | 5 | 5 |
| 513 | 8 | 2 | 6 | 4
|
| 514 | 8 | 2 | 7 | 3 |
| 515 | 8 | 2 | 8 | 2 |
| 516 | 8 | 2 | 9 | 1
|
| 517 | 8 | 3 | 1 | 8 |
| 518 | 8 | 3 | 2 | 7 |
| 519 | 8 | 3 | 3 | 6
|
| 520 | 8 | 3 | 4 | 5 |
| 521 | 8 | 3 | 5 | 4 |
| 522 | 8 | 3 | 6 | 3
|
| 523 | 8 | 3 | 7 | 2 |
| 524 | 8 | 3 | 8 | 1 |
| 525 | 8 | 4 | 1 | 7
|
| 526 | 8 | 4 | 2 | 6 |
| 527 | 8 | 4 | 3 | 5 |
| 528 | 8 | 4 | 4 | 4
|
| 529 | 8 | 4 | 5 | 3 |
| 530 | 8 | 4 | 6 | 2 |
| 531 | 8 | 4 | 7 | 1
|
| 532 | 8 | 5 | 1 | 6 |
| 533 | 8 | 5 | 2 | 5 |
| 534 | 8 | 5 | 3 | 4
|
| 535 | 8 | 5 | 4 | 3 |
| 536 | 8 | 5 | 5 | 2 |
| 537 | 8 | 5 | 6 | 1
|
| 538 | 8 | 6 | 1 | 5 |
| 539 | 8 | 6 | 2 | 4 |
| 540 | 8 | 6 | 3 | 3
|
| 541 | 8 | 6 | 4 | 2 |
| 542 | 8 | 6 | 5 | 1 |
| 543 | 8 | 7 | 1 | 4
|
| 544 | 8 | 7 | 2 | 3 |
| 545 | 8 | 7 | 3 | 2 |
| 546 | 8 | 7 | 4 | 1
|
| 547 | 8 | 8 | 1 | 3 |
| 548 | 8 | 8 | 2 | 2 |
| 549 | 8 | 8 | 3 | 1
|
| 550 | 8 | 9 | 1 | 2 |
| 551 | 8 | 9 | 2 | 1 |
| 552 | 8 | 10 | 1 | 1
|
| 553 | 9 | 1 | 1 | 9 |
| 554 | 9 | 1 | 2 | 8 |
| 555 | 9 | 1 | 3 | 7
|
| 556 | 9 | 1 | 4 | 6 |
| 557 | 9 | 1 | 5 | 5 |
| 558 | 9 | 1 | 6 | 4
|
| 559 | 9 | 1 | 7 | 3 |
| 560 | 9 | 1 | 8 | 2 |
| 561 | 9 | 1 | 9 | 1
|
| 562 | 9 | 2 | 1 | 8 |
| 563 | 9 | 2 | 2 | 7 |
| 564 | 9 | 2 | 3 | 6
|
| 565 | 9 | 2 | 4 | 5 |
| 566 | 9 | 2 | 5 | 4 |
| 567 | 9 | 2 | 6 | 3
|
| 568 | 9 | 2 | 7 | 2 |
| 569 | 9 | 2 | 8 | 1 |
| 570 | 9 | 3 | 1 | 7
|
| 571 | 9 | 3 | 2 | 6 |
| 572 | 9 | 3 | 3 | 5 |
| 573 | 9 | 3 | 4 | 4
|
| 574 | 9 | 3 | 5 | 3 |
| 575 | 9 | 3 | 6 | 2 |
| 576 | 9 | 3 | 7 | 1
|
| 577 | 9 | 4 | 1 | 6 |
| 578 | 9 | 4 | 2 | 5 |
| 579 | 9 | 4 | 3 | 4
|
| 580 | 9 | 4 | 4 | 3 |
| 581 | 9 | 4 | 5 | 2 |
| 582 | 9 | 4 | 6 | 1
|
| 583 | 9 | 5 | 1 | 5 |
| 584 | 9 | 5 | 2 | 4 |
| 585 | 9 | 5 | 3 | 3
|
| 586 | 9 | 5 | 4 | 2 |
| 587 | 9 | 5 | 5 | 1 |
| 588 | 9 | 6 | 1 | 4
|
| 589 | 9 | 6 | 2 | 3 |
| 590 | 9 | 6 | 3 | 2 |
| 591 | 9 | 6 | 4 | 1
|
| 592 | 9 | 7 | 1 | 3 |
| 593 | 9 | 7 | 2 | 2 |
| 594 | 9 | 7 | 3 | 1
|
| 595 | 9 | 8 | 1 | 2 |
| 596 | 9 | 8 | 2 | 1 |
| 597 | 9 | 9 | 1 | 1
|
| 598 | 10 | 1 | 1 | 8 |
| 599 | 10 | 1 | 2 | 7 |
| 600 | 10 | 1 | 3 | 6
|
| 601 | 10 | 1 | 4 | 5 |
| 602 | 10 | 1 | 5 | 4 |
| 603 | 10 | 1 | 6 | 3
|
| 604 | 10 | 1 | 7 | 2 |
| 605 | 10 | 1 | 8 | 1 |
| 606 | 10 | 2 | 1 | 7
|
| 607 | 10 | 2 | 2 | 6 |
| 608 | 10 | 2 | 3 | 5 |
| 609 | 10 | 2 | 4 | 4
|
| 610 | 10 | 2 | 5 | 3 |
| 611 | 10 | 2 | 6 | 2 |
| 612 | 10 | 2 | 7 | 1
|
| 613 | 10 | 3 | 1 | 6 |
| 614 | 10 | 3 | 2 | 5 |
| 615 | 10 | 3 | 3 | 4
|
| 616 | 10 | 3 | 4 | 3 |
| 617 | 10 | 3 | 5 | 2 |
| 618 | 10 | 3 | 6 | 1
|
| 619 | 10 | 4 | 1 | 5 |
| 620 | 10 | 4 | 2 | 4 |
| 621 | 10 | 4 | 3 | 3
|
| 622 | 10 | 4 | 4 | 2 |
| 623 | 10 | 4 | 5 | 1 |
| 624 | 10 | 5 | 1 | 4
|
| 625 | 10 | 5 | 2 | 3 |
| 626 | 10 | 5 | 3 | 2 |
| 627 | 10 | 5 | 4 | 1
|
| 628 | 10 | 6 | 1 | 3 |
| 629 | 10 | 6 | 2 | 2 |
| 630 | 10 | 6 | 3 | 1
|
| 631 | 10 | 7 | 1 | 2 |
| 632 | 10 | 7 | 2 | 1 |
| 633 | 10 | 8 | 1 | 1
|
Happy?
What about combat? It's a series of actions, the results of which are determined just like any other action. Why should a significant proportion of the rules cover an action that is actually very rare in the lives of most people?
As mentioned elsewhere, modern role-playing games evolved from wargames which are necessarily designed to model combat above all else. As a result many RPGs seem to spend an inordinate amount of effort into carefully modelling various aspects of the art of killing someone before they kill you.
But it really isn't necessary. You can model a fight just as well as you can model tiling a bathroom. The GeekMod could declare the entire action as a single test to determine [who won/whether the tiling looks good]. Or they could make it an extended action. Or they could break the action down into many separate tests for each [round of combat/placement of tile] and describe results as the action progresses. If you find that level of detail entertaining, then by all means go ahead and describe every nuance of the action. But the mechanics of the tests are still exactly the same.