In an nba championship series, the team that wins four games out of seven is the winner. suppose that teams and face each other in the championship games and that team has a probability 0.55 of winning a game over team b. a. what is the probability that team will win the series in 6 games? b. what is the probability that team will win the series? c. if teams and were facing each other in a regional playoff series, which is decided by winning three out of 5 games, what is the probability that team would win the series?

a) P=0.185

b) P=0.608

c) P=0.593

Step-by-step explanation:

The question is not complete

"In an NBA 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 a probability 0.55 of winning a game over team B.

a. What is the probability that team A will win the series in 6 games?

b. What is the probability that team A will win the series?

c. If teams A and B were facing each other in a regional playoff series, which is decided by winning three out of 5 games, what is the probability that team A would win the series?

a) It is implicit that 6 games are played. The number of games needed to win a series in 6 games is 4, and the last winning should be in the 6th game.

So we have 5 random results in the first 5 games in which A team wins 3 matches and losses 2 matches.

This can be modeled as a binomial distribution with k=3, n=5 and p=0.55.

Then, this probability has to be multiplied by the probability of winning the last game.

The probability that team A will win the series in 6 games is P=0.185.

b) In this case, we have to calculate the probability of A winning at least 4 games. When a team reaches 4 wins, the series is over. This can happen in 4, 5, 6 or 7 games.

The probability of winning the series is:

Probability of 3 wins in 3 games

Probability of 3 wins in 4 games

Probability of 3 wins in 5 games

Probability of 3 wins in 6 games

Then

The probability of team A of winning the series is P=0.608.

c) The probabilty of winning the regional playoff is

Then,

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole