Question: Probability problem *(10 points) Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes with respective rates A]

Probability problem

*(10 points) Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes with respective rates A] and A2. If the match ends when one of the teams has scored l: more points than the other, nd the probability that team 1 wins. (Hint: Relate this to the gambler's ruin problem)

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