(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We have a bag of n balls, n/2 of which are green and n/2 of which are blue. Consider the following experiment: We reach into the bag and pull out two balls. If they of the same type, we put them both back in the bag. If they are of dierent types we put them both on the ground.

1. What is the probability that we put the balls on the ground?

2. What is the expected number of times we have to repeat this experiment until we get to put some ball on the ground?

3. What is the expected number of times we have to repeat this experiment before the bag is empty?

2. Relevant equations

3. The attempt at a solution

1. n/2n * n/2(n-1) + n/2n * n/2(n-1) = n/2(n-1)

2. 2(n-1)/n

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Probability with conditional replacement

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