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Math Help - probability and combinatorics

  1. #1
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    probability and combinatorics

    how do i show that the probability of throwing a large straight in yahtzee is 5/162.
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  2. #2
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    Hello, jayne!

    I assume we are allowed one throw to get the large straight.
    . . Then I get a different answer . . .


    Show that the probability of throwing a large straight in Yahtzee is 5/162.
    The probability of throwing 2-3-4-5-6 (in that order) is: . \left(\frac{1}{6}\right)^5

    Since there are 5! = 120 possible orders,
    . . then: . P(\text{large straight}) \;=\;\frac{120}{7776} \;=\;\frac{5}{324}


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  3. #3
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    Soroban don't forget that 1,2,3,4,5 is a large straight as well

    So you would have  \frac{2 \cdot 5!}{6^{5}} = \frac{5}{162}
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  4. #4
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    I thought 1-2-3-4-5 was called a small straight
    . . and 2-3-4-5-6 is the large straight.

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  5. #5
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    No a small straight is 4-in-a-row and a large straight is 5-in-a-row. Well by the rules I play by.
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  6. #6
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    thanxs

    thanks for all your help to those who helped me out
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