Suppose that a family has three children, and each child is equally likely to be a boy or a girl. 

a. Write out the sample space of 8 possible outcomes. (For example, use the notation B1G2B3 to mean that the first child is a boy, second is a girl, and third is a boy.) 

b. Which outcomes comprise the event that boys outnumber girls in the family? 

c. Determine the probability that all three children are of the same sex.