We have an urn with three green balls and two yellow balls. We pick a sample of two without replacement and put these two balls in a second urn. Next we sample two balls from the second urn with replacement.
(a) What is the probability that the rst sample had two balls of the same color?
(b) What is the probability that the second sample had two balls of the same color?
(c) Given that the last two balls have the same color, what is the probability that the second urn contains two balls of the same color?