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There are three bins numbered 1-3. Bin i contains i blue balls and 5 - i red balls for i = 1, 2, 3. A

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There are three bins numbered 1-3. Bin i contains i blue balls and 5 - i red balls for i = 1, 2, 3. A bin is randomly selected and then a ball is randomly chosen from that bin. (a) Find the probability that the ball chosen is blue. (b) Given that the ball chosen is blue, find the probability that the ball came from Bin 1

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