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9 February, 17:02

A couple is planning to have three children. Each child is equally likely to be a boy or a girl. If this couple's plan is successful, what is the probability that they will have exactly two girls?

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  1. 9 February, 19:32
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    The probability of having exactly two girls is 3/8 or 0.375

    Step-by-step explanation:

    Since the likelihood is equal, the probability of having a boy = probability of having a girl = 1/2

    In written form;

    P (g) = P (b) = 1/2

    We use the Bernoulli approximation to know the probability of having two girls.

    Mathematically, that would be;

    3C2 P (g) ^2 P (b) ^1

    Inserting the values, we have;

    3 * (1/2) ^2 * (1/2)

    = 3 * (1/2) ^3 = 3/8 = 0.375
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