Textbook Problem

An urn contains two blue balls (denoted $B_1$ and $B_2$) and three white balls (denoted $W_1,W_2,$ and $W_3$ ). One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and its color is recorded.

1. Let $B_1{W}_2$ denote the outcome dial the first bull drawn is $B_1$ and the second ball drawn is $W_2.$ Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment.
2. Consider the event that the first bull that is draw n is blue. List all outcomes in the event. What is the probability of the event?
3. Consider the event that only while balk ate drawn. List all outcomes in the event. What is the probability of the event?