I have been unable to successfully solve this question:

A biased coin was flipped such that: P(T)/P(H)=q, where P(T) is the probability of flipping tails, P(H) is the probability of flipping heads, and q is a positive integer. Find the probability of flippings

*n*heads before

*m*tails as

*m approaches infinity*.

I attempted to find an expression in terms of q for P(T) and P(H), however to no avail. The answer given is 1.