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Math Help - Probability with Dice

  1. #1
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    Probability with Dice

    A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

    This one I am not too sure how to go about this.

    Would someone try to give me hints or walk me through it?

    Thanks.
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  2. #2
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    Quote Originally Posted by Sakurazaki View Post
    A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

    This one I am not too sure how to go about this.

    Would someone try to give me hints or walk me through it?

    Thanks.

    Read, or google, about "Bernoulli formula" in "binomial distribution": the probability is given by \left(\begin{array}{c}14\\2 \end{array}\right) \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right)^{12}

    Tonio
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  3. #3
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    Quote Originally Posted by Sakurazaki View Post
    A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

    This one I am not too sure how to go about this.

    Would someone try to give me hints or walk me through it?

    Thanks.
    Let X be the random variable number of 1's thrown.

    X ~ Binomial(n = 14, p = 1/6)

    Calculate Pr(X = 2).
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  4. #4
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    Ok I got the answer. Thanks for your help.
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