Q:

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.

Accepted Solution

A:
Answer:1) The tournament can be played in 10 different ways 2) The probability of 5 games being played is 0.403) The probability of a team winning two games in a row is 0.80  Step-by-step 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 / 10P= 0.40c) The probability of a team winning two games in a row isP = (number of possibilities where a team wins two games in a row) / Total gamesP = 8 / 10P = 0.80