We have an urn with three green balls and two yellow balls. We pick a sample of two without replacement. We put these two balls into a separate urn that was previously empty. Then we draw two balls from the second urn with replacement. (a) What is the probability the first sample had two balls of the same color? (b) What is the probability the second sample had two balls of the same color?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. We have an urn with three green balls and two yellow balls. We pick a sample of two without replacement. We put these two balls into a separate urn that was previously empty. Then we draw two balls from the second urn with replacement. (a) What is the probability the first sample had two balls of the same color? (b) What is the probability the second sample had two balls of the same color?
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