   Chapter 9.2, Problem 5ES ### 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 a competiton between players X and Y, the first player to win three games in a row or a total of four games wins. How many ways can the competition be played if X wins the first game and Y win the second and thired games? (Draw a tree.)

To determine

The number of ways the competition can be played X wins the first game and Y wins the second and third game.

Explanation

Given information:

played if X wins the first game and Y wins the sec ond and third games? (Draw a tree.)

Concept used:

In a competition between players X and Y the first player to win three games in a row or a total of four games wins.

Calculation:

In a competition between players X and Y, it is given that the first player to win three games in a row or total of four games wins.

Also, we are given that X wins the first game, and Y wins the second and third games.

Then the tree structure is as follows.

The number of ways that the competition is played, if X wins the first game and Y wins the second and third games is as follows.

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