Question

g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven will be the champion. Supposethat team A has probability 0.7 of wining over B in each game.a) What is the probability that team A will win the series in the fifth game

Answer 1

Answer: The required probability is 0.32.

Explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

`P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32`

Hence, the required probability is 0.32.