The Boston South Fifth Street Softball League comprises of 3 teams: Mama's Boys, team 1; Killers, team 2; and Machos, team 3. Every team plays other teams just once during season. Win-loss record for 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
|
Every row represents number of wins over past five years. Mama's Boys beat Killers 3 times, beat Machos 4 times, and so on.
i) Determine probability that Killers will win every game next year?
ii) Find probability that Machos will win at least 1 game next year?
iii) Find probability that Mama's Boys will win exactly 1 game next year?
iv) Find probability that Killers will win fewer than 2 games next year?