   Chapter 9.2, Problem 2ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# In 1-4, use the fact that in baseball’s World Series, the first team to win four games wins the series. Suppose team A wins the first two games. How many ways can the World Series be completed? (Draw a tree.)

To determine

The number of ways the world series can be completed if A wins the first two games.

Explanation

Given information:

Team A wins the first two games.

Concept used:

In baseball’s World Series, the first team to win four games wins the series.

Calculation:

The objective is to find the number of ways the baseball series be completed if team A wins the first two games.

The number of ways that A can win the game is the number of possible ways where A may win the fourth game and be declared as the winning team.

If the next two games won by team A, then team A wins and the series completes.

If the third game won by A, and fourth game by B there are two ways for 5th game either A or B.

If 5th game is won by A, then the series completes, otherwise there are two cases again.

The visual representation for the game winning is shown in below tree diagram.

The tree for the number of was to complete the series is.

From the tree, the total number of possibilities to complete the baseball series is

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