Suppose that each child born is equally likely to be a boy or a girl. Consider a family

Chapter 9, Problem 12

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Suppose that each child born is equally likely to be a boyor a girl. Consider a family with exactly three children. LetBBG indicate that the first two children born are boys andthe third child is a girl, let GBG indicate that the first andthird children born are girls and the second is a boy, and so forth.a. List the eight elements in the sample space whose outcomesare all possible genders of the three children.b. Write each of the events in the next column as a set andfind its probability.(i) The event that exactly one child is a girl.
(ii) The event that at least two children are girls.
(iii) The event that no child is a girl.

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