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A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the

A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the marble back in the bag. This process is repeated until you pick either two consecutive blue or two consecutive red marbles. Given that the process stopped because you picked two consecutive blue marbles, what is the probability that the first marbled you picked was blue?

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