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Math Help - Probability

  1. #1
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    Probability

    Five fair coins are tossed. Find the probability of obtaining 4 heads and 1 tail.

    Possible solutions:
    1/32
    3/32
    4/32
    5/32
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by gretchen View Post
    Five fair coins are tossed. Find the probability of obtaining 4 heads and 1 tail.

    Possible solutions:
    1/32
    3/32
    4/32
    5/32
    This is a binomial distribution problem. Probability of success on single trial
    (a head on one toss) p=0.5. Number of trial n=5, number of successes of
    interest k=4.

    Then the required probability is:

    f(k;n,p)=C(n,k) p^k (1-p)^(n-k)

    which in this case is:

    f(4;5,4)=5 (0.5)^4 (0.5)=0.15625

    or about 15.6%.

    RonL
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