Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes with respective rates 1 and 2.

Teams 1 and 2 are playing a match. The teams score points according toindependent Poisson processes with respective rates ¸1 and ¸2. If the match endswhen one of the teams has scored k more points than the other, find the probabilitythat team 1 wins.Hint: Relate this to the gambler’s ruin problem.