Suppose now that each game has three possible outcomes: you gain 1 with probability p, or ?1 with probability q, or 0 with probability s, where p + q + s = 1. As usual, games are independent, and you start with wealth k and stop when you reach 0 or m. Find the probability than you reach m. If p = q = s = 1/3, find the expected time to reach 0 or m.

10/ Suppose now that each game has three possible outcomes: you gain 1 with probability p, or -1 with probability q, or 0 with probability s, where p + q + s = 1. As usual, games are independent, and you start with wealth k and stop when you reach 0 or m. Find the probability than you reach m. If p = q = s = 1/3, find the expected time to reach 0 or m