The world series is a contest to determine the first of two teams to win four games. Assume that each team has an equal chance of winning any particular game and winning is independent of what happens in any other game. Find the average number of games. Give your answer as a fraction reduced to lowest terms.

2. Originally Posted by sweeetcaroline

The world series is a contest to determine the first of two teams to win four games. Assume that each team has an equal chance of winning any particular game and winning is independent of what happens in any other game. Find the average number of games. Give your answer as a fraction reduced to lowest terms.
This looks like a negative binomial problem. See here: Negative binomial distribution - Wikipedia, the free encyclopedia

3. Yes but is there any way you or someone else could explain to me what that means? We haven't done this in my Statistics class yet.

4. Originally Posted by sweeetcaroline

The world series is a contest to determine the first of two teams to win four games. Assume that each team has an equal chance of winning any particular game and winning is independent of what happens in any other game. Find the average number of games. Give your answer as a fraction reduced to lowest terms.
Hint:

There are only a few sequences of games possible. Suppose the first team wins the series. Then the possible cases are--

1. Team 1 wins all of the first 4 games
2. Team 1 wins 3 of the first 4 and then wins game 5
3. Team 1 wins 3 of the first 5 and then wins game 6
4. Team 1 wins 3 of the first 6 and then wins game 7