Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes
Question:
Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes with respective rates λ1 and λ2. If the match ends when one of the teams has scored k more points than the other, find the probability that team 1 wins.
Hint: Relate this to the gambler’s ruin problem.
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