Two buckets are lying on a table. Bucket #1 has five red and twoyellow balls in it. Bucket #2 contains three red and four yellowballs. In all of the questions below, the buckets start with thiscomposition.
a. Two balls are drawn at random from bucket #1. What is theprobability that one is red and one is yellow?
b. One ball is drawn at random from bucket #1 and placed intobucket #2. One ball is then drawn from bucket #2. What is theprobability that this ball is red?
c. Balls are drawn one by one from bucket #2 until a red ball isdrawn. What is the probability that the first red ball is drawn onthe third draw.
