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In: Statistics and Probability

An urn contains 5 green balls and 8 red balls. One of the balls is drawn...

An urn contains 5 green balls and 8 red balls. One of the balls is drawn at random.
The drawn ball is returned to the urn with 3 additional balls of the same color. A second
ball is drawn from the newly constituted urn.
a. What is the probability the second ball is green?
b. Given that the second ball was red, what is the probability that the first ball was green?

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