In NBA (National Basketball association) championship series, the team that wins four games out of seven is the winner. suppose that teams A and B face each other in the championship games and that team A has probability 0.55 of winning a game over team B. What is the probability that team a will win the series?
Answers
Given : In an NBA (National Basketball Association) championship series, the team who wins four games out. of seven will be the winner.
that team A has probability 0.55 of winning over team B
To Find
What is the probability that team A will win the series?
Solution:
P(A) winning p = 0.55
q = 1- 0.55 = 0.45
What is the probability that team A will win the series
in 4 matches , 5 matches , 6 matches , 7 matches
in 4 Matches all 4 matches has to be won
in 5 matches , 3 out of 1st 4 and 5th match has to be won
in 6 matches , 3 out of 1st 5 and 6th match has to be won
in 7 matches , 3 out of 1st 6 and 7th match has to be won
(0.55)⁴ + ⁴C₃(0.55)³(0.45)¹(0.55) + ⁵C₃(0.55)³(0.45)²(0.55) + ⁶C₃(0.55)³(0.45)³(0.55)
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Answer:
Step-by-step explanation: