Suppose that the number of children in a family has the following distribution: Assume that each child

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Suppose that the number of children in a family has the following distribution:

Number of children Probability 0 1 2 0.15 0.25 3 4 0.3 0.2 0.1

Assume that each child is independently a girl or a boy with probability 1/2 each.
If a family is picked at random what is the chance it has exactly two girls.

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