Question

Suppose in families each child born is equally likely to be a boy or a girl. Consider only families with exactly three children: Let BBG indicate a family where the first two children are boys and the third child is a girl, and let GBG indicate a family where the first and third children are girls and the middle child is a boy; and so forth: a) List all of the elements in the sample space whose outcomes include all possible genders of the three children: b) What is the probability that an arbitrary family with three children has exactly one boy? c) What is the probability that an arbitrary family with three children has at least two girls?

          Suppose in families each child born is equally likely to be a boy or a girl. Consider only families with exactly three children: Let BBG indicate a family where the first two children are boys and the third child is a girl, and let GBG indicate a family where the first and third children are girls and the middle child is a boy; and so forth:
a) List all of the elements in the sample space whose outcomes include all possible genders of the three children:
b) What is the probability that an arbitrary family with three children has exactly one boy?
c) What is the probability that an arbitrary family with three children has at least two girls?

Added by Mark H.

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