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Felix has 4 green marbles and 3 red marbles in his left coat pocket. He has...

Felix has 4 green marbles and 3 red marbles in his left coat pocket. He has 6 green marbles and 8 red marbles in his right coat pocket. If he transfers one marble at random from his right pocket to his left, what is the probability of his then drawing a red marble from his left pocket?

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