   Chapter 9.2, Problem 7ES ### 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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# One urn contains one blue ball (labeled B 1 ) and three red balls (labeled R 1 ,   R 2 , and R 3 ). A second urn contains two red balls ( R 4 and R 5 ) and two blue balls ( B 2 and B 3 ). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. a. Construct the possibility tree showing all possible outcomes of this experiment. b. What is the total number of outcomes of this experiment? c. What is the probability that two red balls are chosen?

To determine

(a)

To draw the possibility tree showing all possible outcomes of this experiment.

Explanation

Given information:

An urn contains one blue ball (B1) and three red balls (R1,R2and R3).

Second urn contains two red balls (R4and R5) and two blue balls

To determine

(b)

The total number of outcomes of this experiment.

To determine

(c)

The probability that two red balls are chosen.

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