This is the question exactly

Alice: Let's take turns flipping a coin. The first person who gets heads wins. I'll

go first.

Bob: But you might win on the very first throw. Let's compensate by giving me

one extra throw on my first turn.

Alice: Fine.

Bob: And let's use my coin, which comes up heads with probability 'pi' .

Alice: Well, then I had better know 'pi' before I agree.

What value of 'pi' makes the game fair to each player?

I have been stuck on this same problem for so long its embarrassing. I am not asking for the answer I just need someone to point me in the right direction. I thought I was supposed to work out the probability for each player winning in terms of pi assume they are equal, then solve for pi. I went through all my lecture notes and still nothing came to me. Please help!