   Chapter 9.2, Problem 6ES ### 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 two black balls (Labeled B 1 and B 2 ) and one white ball. A second urn contains one black bull and two white bulls (labeled W 1 and W 2 ) . Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second bull is chosen at random from the same urn without replacing the first ball. Construct the possibilitytree showing all possible outcomes of this experiment. What is the total number of outcomes of tins experiment? What is the probability that two black balls are chosen? What is the probability that two bulls of opposite color are chosen?

To determine

(a)

To construct the possibility tree showing all possible outcomes of the given experiment.

Explanation

Given information:

It is given that one urn contains 2 black balls, B1and B2 and a white ball. We are also given that a second urn contains one black ball and two white balls W1and W2

To determine

(b)

The total number of outcomes of this experiment.

To determine

(c)

The probability that two black balls are chosen.

To determine

(d)

The probability that two balls of opposite color are chosen.

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