The Houston Rockets and San Antonio Spurs will play a "best two out of three" series. Assume that Houston has a probability of 1/3 of winning any game.

a. Draw a probability tree showing possible outcomes of the series. Label the branches with appropriate probabilities.

b. What is the probability that Houston wins in two straight games? that San Antonio wins in two straight games?

c. what is the probability that the series goes to three games?

d. what is the probability that Houston wins the series after losing the first game?

e. What is the probability that San Antonio wins the series?