Problem 2. (5 marks; 2.5 each) Suppose two players A and B undertake a series of trials such that ea

Problem 2. (5 marks; 2.5 each) Suppose two players A and B undertake a series of trials such that each trial independently yields one of the following:a) a win for A with probability p;b) a win for B with probability q;c) a draw (or no result, or a void trial), with probability 1 ? p ? q.The game stops at the first win by either A or B.Answer each of the following questions:i) What is the probability an that A wins at the nth trial?ii) What is the probability ? that A wins overall?