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Bag A contains 4 black and 2 red marbles. Bag B contains 2 black and 3 red marbles. If one marble is randomly selected from

Bag A contains 4 black and 2 red marbles. Bag B contains 2 black and 3 red marbles. If one marble is randomly selected from bag A and put into bag B, and then one marble is selected from bag B, what is the probability that the selected marble from bag B is red?

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