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  2. Dice pool - Wikipedia

    en.wikipedia.org/wiki/Dice_pool

    In many RPG systems, non-trivial actions often require dice rolls. Some RPGs roll a fixed number of dice, add a number to the die roll based on the character's attributes and skills, and compare the resulting number with a difficulty rating. In other systems, the character's attributes and skills determine the number of dice to be rolled.

  3. Dice notation - Wikipedia

    en.wikipedia.org/wiki/Dice_notation

    For instance, 4d6−L means a roll of 4 six-sided dice, dropping the lowest result. This application skews the probability curve towards the higher numbers, as a result a roll of 3 can only occur when all four dice come up 1 (probability ⁠ 1 / 1,296 ⁠), while a roll of 18 results if any three dice are 6 (probability ⁠ 21 / 1,296 ...

  4. Expectiminimax - Wikipedia

    en.wikipedia.org/wiki/Expectiminimax

    Bruce Ballard was the first to develop a technique, called *-minimax, that enables alpha-beta pruning in expectiminimax trees. [3] [4] The problem with integrating alpha-beta pruning into the expectiminimax algorithm is that the scores of a chance node's children may exceed the alpha or beta bound of its parent, even if the weighted value of each child does not.

  5. Saving throw - Wikipedia

    en.wikipedia.org/wiki/Saving_throw

    In role-playing games (RPGs) and war games, a saving throw is a roll of dice used to determine whether magic, poison, or various other types of attacks are effective against a character or monster. [1] The term was first used in Donald F. Featherstone's book "War Games". [2]

  6. Intransitive dice - Wikipedia

    en.wikipedia.org/wiki/Intransitive_dice

    The probability that A rolls a higher number than B, the probability that B rolls higher than C, and the probability that C rolls higher than A are all ⁠ 5 / 9 ⁠, so this set of dice is intransitive. In fact, it has the even stronger property that, for each die in the set, there is another die that rolls a higher number than it more than ...

  7. Dice - Wikipedia

    en.wikipedia.org/wiki/Dice

    When an amount is added, the notation is nds+c or nDs+c; for example, 3d6+4 instructs the player to roll three six-sided dice, calculate the total, and add four to it. When an amount is to be subtracted, the notation is n d s - c or n D s - c; so 3d6-4 instructs the player to subtract four from the result of rolling 3d6 .

  8. Diceware - Wikipedia

    en.wikipedia.org/wiki/Diceware

    Diceware is a method for creating passphrases, passwords, and other cryptographic variables using ordinary dice as a hardware random number generator. For each word in the passphrase, five rolls of a six-sided die are required. The numbers from 1 to 6 that come up in the rolls are assembled as a five-digit number, e.g. 43146. That number is ...

  9. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    The probabilities of rolling several numbers using two dice. Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur.