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Chapter 4: Q. 4.39 (page 166)

A ball is drawn from an urn containing 3white and 3black balls. After the ball is drawn, it is replaced and another ball is drawn. This process goes on indefinitely. What is the probability that the first 4balls drawn, exactly2 are white?

Short Answer

Expert verified

The probability that of the first 4balls drawn, exactly 2are white is38.

Step by step solution

01

Given Information

Given in the question that a ball is drawn from an urn containing 3white and 3black balls. After the ball is drawn, it is replaced and another ball is drawn.

02

Solution of the Problem

Probability of drawing white ball=36

=12

Probability of drawing a black ball =36

=12

Number of ways of choosing 2white 4draws =42

=6ways

Desired probability=6脳122脳122

=38.

03

Final Answer

The probability that of the first 4 balls drawn, exactly 2are white is 38.

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