An urn contains 4 white and 4 black balls. We randomly

Chapter 4, Problem 78P

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QUESTION:

Problem 78P

An urn contains 4 white and 4 black balls. We randomly choose 4 balls. If 2 of them are white and 2 are black, we stop. If not, we replace the balls in the urn and again randomly select 4 balls. This continues until exactly 2 of the 4 chosen are white. What is the probability that we shall make exactly n selections?

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QUESTION:

Problem 78P

An urn contains 4 white and 4 black balls. We randomly choose 4 balls. If 2 of them are white and 2 are black, we stop. If not, we replace the balls in the urn and again randomly select 4 balls. This continues until exactly 2 of the 4 chosen are white. What is the probability that we shall make exactly n selections?

ANSWER:

Solution

Step 1 of 1

We have to find the probability that making exactly ‘n’ selections

Given that an urn contains 4 white and 4 black balls

And randomly chosen 4 balls in that 2 of them white and 2 of them black we stop the process

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