I have two bags. Bag 1 contains 10 blue marbles, while bag 2 contains 15 blue marbles. I pick one of the bags at random, and throw 6 red marbles in it. Then i shake the bag and choose 5 marbles (without replacement) at random from the bag. If there are exactly 2 red marbles among the 5 chosen marbles, what is the probability that i have chosen bag 1?
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I think so the answer is 1/5
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