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  • Yahtzee Probability

    Anonymous Christian
    Dec 31, 2015
    MATH, Probability
    Comments Off on Yahtzee Probability

    How?

    Firstly, the probability of getting the number 1 on a single die is 1/6 (since there are six faces and only a face has 1 marked on it, assuming of course, the die is fair too —> meaning any ‘numbered’ face has an equal chance to appear in any throw).

    So, the probability of getting the number 1 on all five dice,
    P(1) = (1/6)^5

    Likewise, P(2) = P(3) = P(4) = P(5) = P(6) = (1/6)^5

    Hence,

    P(same number, 5 dice rolled)
    = P(1) or P(2) or P(3) or P(4) or P(5) or P(6)
    = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)
    = (1/6)^5 x 6
    = (1/6)^4
    = 1/(6 x 6 x 6 x 6)
    = 1/1296

    as required, QED.

     

    a1

     

anonymous-christian

Jonathan Ramachandran is founder at AnonymousChristian.org which serves as a Christian Blog discussing the Greater Hope of Biblical Christian in Christ Alone. He is also an IMO (International Math Coach) and a featuring Guitarist for many bands.

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