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Bag A contains 3 red and 5 black balls, ...

Bag A contains 3 red and 5 black balls, while bag B contains 4 red and 4 black balls. Two balls are transferred at random bag A to bag B and then a ball is drawn from B at random. If the ball drawn from bag B is found to be red, find the the probability that 2 red were transferred from A to B

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