   Chapter 9.9, Problem 34ES ### 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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# Use conditional probability to analyze exercise 20 in Section 9.1. Let X be the event that the prize is not behind door A, and let Y be the event that you switch and choose the door with the prize. Should you switch? Explain why or why not.

To determine

To explain:

The reason whether to switch the door or not.

Explanation

Given information:

There are five doors A,B,C,D and E and all are closed.

X be the event that the prize is not behind the door A.

Y be the event that you switch and choose the door with the prize.

Calculation:

The probability of winning the prize if sticking the original choice and not switching the door =15=0.2

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