Question:

A, B, C take turns fliping a coin. Calculate the probability that A wins, B wins, C wins; the first to flip a head. Assume A flips, then B, then C.

I understand it follows a sequeance {1, 01, 001, 0001.....etc)

so theres can be infinity amount of turns before 1 gets a head.

So how would you add the probability of all the A's wining {1, 0001, 0000001......}