Consider a situation in which Rahim, Alejandro, and Petra play a game. There are no ties in this game, and experimental probability suggests that the probability that Rahim wins is 0.28, the probability of Alejandro winning is 0.37, and the probability of Petra winning is 0.35. They play the game 5 times in a row. Required:
a. The probability that Petra wins exactly three times is:
b. The probability that Alejandro never wins is:
c. The probability that Rahim wins at least 3 games given that he wins the first two games is: