(Answered) Suppose two players a and b undertake a series of trials

Finance

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 α that A wins overall?

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