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Math Help - Probability and CDF functions

  1. #1
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    Probability and CDF functions

    A pair of fair dice is tossed 8 times. Find the probability that a sum of 7 or 11 occurs AT MOST three times.
    What is the probability that the first toss is a 7, given the sum of 7 or 11 occurs at most three times in eight tosses?

    Find the probability that a sum of 7 or 11 occurs AT MOST three times:::
    Event A= P(A)= CDF[8,8/36],3 = 0.921039

    What I'm not sure how to do is the second question. The first toss being a 7 has a probability of 6/36.

    In the example in class, the question had an AT LEAST statement so the second question was answered this way: 6/36 x [1-CDF[Binomial Distribution[9,10/36],3]. Should I be using this?

    The AT MOST is throwing me off.
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    Re: Probability and CDF functions

    Quote Originally Posted by tadkins View Post
    A pair of fair dice is tossed 8 times. Find the probability that a sum of 7 or 11 occurs AT MOST three times.
    What is the probability that the first toss is a 7, given the sum of 7 or 11 occurs at most three times in eight tosses?
    Find the probability that a sum of 7 or 11 occurs AT MOST three times:::
    Event A= P(A)= CDF[8,8/36],3 = 0.921039
    What I'm not sure how to do is the second question. The first toss being a 7 has a probability of 6/36.
    In the example in class, the question had an AT LEAST statement so the second question was answered this way: 6/36 x [1-CDF[Binomial Distribution[9,10/36],3]. Should I be using this?
    This is a double posting.
    Do not post the same question more that once.
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