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Math Help - really basic coin flip question

  1. #1
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    really basic coin flip question

    Please confirm that I am doing this correctly:

    What is the probability that a fair coin lands heads four times out of five flips?

    I calculate this by doing the following:
    Note that "5 choose 4" describes a binomial coefficient.

    "5 choose 4" *(1/2)^5=5*(1/32)=5/32

    which is 15.625%. Please confirm that this is correct. Thanks
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by jmedsy View Post
    Please confirm that I am doing this correctly:

    What is the probability that a fair coin lands heads four times out of five flips?

    I calculate this by doing the following:
    Note that "5 choose 4" describes a binomial coefficient.

    "5 choose 4" *(1/2)^5=5*(1/32)=5/32

    which is 15.625%. Please confirm that this is correct. Thanks
    Yes

    P(Y=4)=\left(\begin{array}{cc}5\\4\\\end{array}\ri  ght)(0.5)^{4}(1-0.5)^{5-4}=0.15625
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