Question: Suppose that a certain box A contains five balls and another box B contains 10 balls. One of these two boxes is selected at random,

Suppose that a certain box A contains five balls and another box B contains 10 balls. One of these two boxes is selected at random, and one ball from the selected box is transferred to the other box. If this process of selecting a box at random and transferring one ball from that box to the other box is repeated indefinitely, what is the probability that box A will become empty before box B becomes empty?

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