Question

Team A and team B play against each other repeatedly until one team wins two games in a row or a total of three games. 1) how many ways can the tourney be played? 2) what is the probability of 5 games being played? 3) what is the probability of a team winning two games in a row. Show work.

Answer 1

1) The tournament can be played in 10 different ways

2) The probability of 5 games being played is 0.40

3) The probability of a team winning two games in a row is 0.80

Explanation:

a) From the tree diagram below we can observe that the tournament can be played in 10 different ways.

b)The probability of 5 games being played is

P= (number of possibilities where 5 games are being played) / (Total games)

P = 4 / 10

P= 0.40

c) The probability of a team winning two games in a row is

P = (number of possibilities where a team wins two games in a row) / Total games

P = 8 / 10

P = 0.80