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  2. Newton–Pepys problem - Wikipedia

    en.wikipedia.org/wiki/Newton–Pepys_problem

    The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. [1] In 1693 Samuel Pepys and Isaac Newton corresponded over a problem posed to Pepys by a school teacher named John Smith. [2] The problem was: Which of the following three propositions has the greatest chance of success?

  3. 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 ...

  4. 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.

  5. Pig (dice game) - Wikipedia

    en.wikipedia.org/wiki/Pig_(dice_game)

    The game of Pig is played with a single six-sided die. Pig is a simple die game first described in print by John Scarne in 1945. [1] Players take turns to roll a single die as many times as they wish, adding all roll results to a running total, but losing their gained score for the turn if they roll a .

  6. 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 ...

  7. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    For a fair 16-sided die, the probability of each outcome occurring is ⁠ 1 / 16 ⁠ (6.25%). If a win is defined as rolling a 1, the probability of a 1 occurring at least once in 16 rolls is: [] = % The probability of a loss on the first roll is ⁠ 15 / 16 ⁠ (93.75%). According to the fallacy, the player should have a higher chance of ...