Selecting Colored Balls Urn 1 contains 5 red balls and 3

Chapter 4, Problem 20E

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QUESTION:

Problem 20E

Selecting Colored Balls Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.

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QUESTION:

Problem 20E

Selecting Colored Balls Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.

ANSWER:

Solution:

Step 1 of 2:

It is given that there are 3 urns and first urn contains 5 red balls and 3 black balls, second urn contains 3 red balls and 1 black ball and the third urn contains 4 red balls and 2 black balls.

Also, it is given that a urn is selected and a ball is drawn at random.

We need to find the probability that the ball drawn is red.


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