1. Imagine that a family of three (Alice, Bill, and Chester) plays bingo at home every night. Each night, the chance that

any one of the three players will win is

1/

.

a. Using A for Alice wins, B for Bill wins, and C for Chester wins, develop a tree diagram that shows the nine

possible outcomes for two consecutive nights of play.

b. Is the probability that “Bill wins both nights” the same as the probability that “Alice wins the first night and

Chester wins the second night”? Explain.