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25 April, 02:06

You flip a fair coin 7 times. What is the probability that the coin lands with the heads side up exactly 3 out of the 7 times?

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  1. 25 April, 02:41
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    35/128 ≈ 0.2374

    Step-by-step explanation:

    The number of combinations of 7 things taken 3 at a time is ...

    7·6·5 / (3·2·1) = 7·5 = 35

    The number of sequences in which the coins can land is 2^7 = 128.

    Of those 128 sequences, 35 will have exactly 3 heads.

    The probability is 35/128.
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