Solved: Suppose that each child born is equally likely to

Chapter 9, Problem 9.16

(choose chapter or problem)

Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG indicate that the rst two children born are boys and the third child is a girl, let GBG indicate that the rst and third children born are girls and the second is a boy, and so forth. a. List the eight elements in the sample space whose outcomes are all possible genders of the three children. b. Write each of the events in the next column as a set and nd 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.