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Math Help - Binomial Probability

  1. #1
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    Binomial Probability

    Hello everyone,

    "In the game of craps you roll two 6-sided dice. A sum of 2, 11, or 12 is considered a failure while all others are considered a success. Find the probability of rolling exactly 5 successes in 13 rolls."

    I tried setting up the values for the formula nCx*P^x*Q^n-x but however, I am stuck finding the value of p which is probability of success. At first i got 8/11 but i am not certain if that is right or not.
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  2. #2
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    Quote Originally Posted by GDK76 View Post
    Hello everyone,

    "In the game of craps you roll two 6-sided dice. A sum of 2, 11, or 12 is considered a failure while all others are considered a success. Find the probability of rolling exactly 5 successes in 13 rolls."

    I tried setting up the values for the formula nCx*P^x*Q^n-x but however, I am stuck finding the value of p which is probability of success. At first i got 8/11 but i am not certain if that is right or not.
    1 - p = (number of ways of getting 2, 11 or 12)/36. Using a dice table might help: Dice table
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    Quote Originally Posted by GDK76 View Post
    "In the game of craps you roll two 6-sided dice. A sum of 2, 11, or 12 is considered a failure while all others are considered a success. Find the probability of rolling exactly 5 successes in 13 rolls."
    In one roll \mathif{P}(2\cup 11\cup 12)=\frac{1}{9}.
    So the probability of success is \frac{8}{9}.
    Now apply the binomial formula.
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