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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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Section
BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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An urn contains two blue balls (denoted B 1 and B 2 ) and one white ball (denoted W). One ball is drawn, its color is recorded, and it is replaced in the urn. Then another hail is drawn, and its color is recorded.

a. Let B 1 W denote the outcome that the first ball drawn is B 1 and the second ball drawn is W. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all nine possible outcomes of the experiment.
b. Consider the event that the two balls that are drawn are both blue. List all outcomes in the event. What is the probability of the event?
c. Consider the event that the two balls that are drawn are of different colors. List all outcomes in the event. What is the probability of the event’?

To determine

(a)

To write:

All nine possible outcomes.

Explanation

Given:

An urn contains two Blue balls (B1 & B2) and one white ball (W), we draw two balls with replacement and note their colors...

To determine

(b)

To find:

The event where two balls that are drawn are both blue and find the probability for same event.

To determine

(c)

To find:

The event that the two balls that are drawn are of different colors and find the probability for same event.

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