5.19 Three children A couple plans to have three children.

Suppose that the probability of any given child being female is 0.5, and suppose that the genders of each child are independent events.

a. Write out all outcomes in the sample space for the genders of the three children.

b. What should be the probability associated with each outcome?

Using the sample space constructed in part

a, find the probability that the couple will have

c. two girls and one boy.

d. at least one child of each gender.