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6 October, 00:51

If a couple plans to have 6 children, what is the probability that there will be at least one girl ? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one girl in 6 children?

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  1. 6 October, 01:23
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    The correct answer would be, Yes the couple can be confident because the probability is close to 1.

    Explanation:

    According to the question, we are assuming that getting a boy or a girl is equally likely.

    Hence;

    P (getting a girl) = 1 / 2

    and

    P (getting a boy) = 1 / 2 in one birth.

    Given the total number of children they plan to have = 6

    P (there will be at least one girl) = 1 - P (there will be no girl)

    = 1 - P (all of them are boys)

    = 1 - (1 / 2) 6

    = 0.984375

    Correct Answer: Yes because the probability is close to 1.
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