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  2. Examples of Markov chains - Wikipedia

    en.wikipedia.org/wiki/Examples_of_Markov_chains

    To see the difference, consider the probability for a certain event in the game. In the above-mentioned dice games, the only thing that matters is the current state of the board. The next state of the board depends on the current state, and the next roll of the dice. It does not depend on how things got to their current state.

  3. Diceware - Wikipedia

    en.wikipedia.org/wiki/Diceware

    Five dice showing 41,256, which denotes "monogram" on an updated EFF cryptographic word list. 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.

  4. D.I.C.E. Award for Strategy/Simulation Game of the Year

    en.wikipedia.org/.../Simulation_Game_of_the_Year

    The D.I.C.E. Award for Strategy/Simulation Game of the Year is an award presented annually by the Academy of Interactive Arts & Sciences during the D.I.C.E. Awards.This award recognizes games "in which user directs or manipulates resources to create a set of conditions that result in success as determined within the confines of the game.

  5. Change-making problem - Wikipedia

    en.wikipedia.org/wiki/Change-making_problem

    Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n.The problem is: given an amount W, also a positive integer, to find a set of non-negative (positive or zero) integers {x 1, x 2, ..., x n}, with each x j representing how often the coin with value w j is used, which minimize the total number of coins f(W)

  6. Monte Carlo method - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_method

    Monte Carlo simulation: Drawing a large number of pseudo-random uniform variables from the interval [0,1] at one time, or once at many different times, and assigning values less than or equal to 0.50 as heads and greater than 0.50 as tails, is a Monte Carlo simulation of the behavior of repeatedly tossing a coin.

  7. Intransitive dice - Wikipedia

    en.wikipedia.org/wiki/Intransitive_dice

    A set of dice is intransitive (or nontransitive) if it contains X>2 dice, X1, X2, and X3... with the property that X1 rolls higher than X2 more than half the time, and X2 rolls higher than X3 etc... more than half the time, but where it is not true that X1 rolls higher than Xn more than half the time.

  8. Go First Dice - Wikipedia

    en.wikipedia.org/wiki/Go_First_Dice

    Go First Dice are a set of dice in which, when rolled together, each die has an equal chance of showing the highest number, the second highest number, and so on. [1] [2] The dice are intended for fairly deciding the order of play in, for example, a board game. The number on each side is unique among the set, so that no ties can be formed.

  9. Alias method - Wikipedia

    en.wikipedia.org/wiki/Alias_method

    A diagram of an alias table that represents the probability distribution〈0.25, 0.3, 0.1, 0.2, 0.15〉 In computing, the alias method is a family of efficient algorithms for sampling from a discrete probability distribution, published in 1974 by Alastair J. Walker.