Show transcribed image text Problem 2 Suppose that Urn 1 contains 3 red balls, 4 blue balls and 1 green ball. Suppose Urn 2 contains 5 blue balls, 2 green balls, and 1 red ball. Suppose the urns are dumped into a bucket, and two balls are chosen at random. The balls are the same color. What is the probability they both came from Urn 1? Please answer using "n choose k" notation.

Problem 2 Suppose that Urn 1 contains 3 red balls, 4 blue balls and 1 green ball. Suppose Urn 2 contains 5 blue balls, 2 green balls, and 1 red ball. Suppose the urns are dumped into a bucket, and two balls are chosen at random. The balls are the same color. What is the probability they both came from Urn 1? Please answer using "n choose k" notation.