24 The Boston South Fifth Street Softball League consists of three teams: Mama’s Boys, team 1; the Killers, team 2; and the Machos, team 3. Each team plays the other teams just once during the season.

The win–loss record for the past five years is as follows:

WINNER (1) (2) (3)

Mama’s Boys (1) X 3 4 The Killers (2) 2 X 1 The Machos (3) 1 4 X Each row represents the number of wins over the past five years. Mama’s Boys beat the Killers three times, beat the Machos four times, and so on.

(a) What is the probability that the Killers will win every game next year?

(b) What is the probability that the Machos will win at least one game next year?

(c) What is the probability that Mama’s Boys will win exactly one game next year?

(d) What is the probability that the Killers will win less than two games next year?