Three players simultaneously toss coins. The coin tossed

Step 1 of 2

Our goal is

We need to find the probability that A will be the odd man.

If he gets heads while the others get tails or he gets tails while the others get heads, on each coin toss the player.

Then a will be the odd man Each of these events happens with probability

and (1)

The game continues if all players get heads or all players get tails.

Then each of these events happen with probability

 and  (2)

Then the game stops with A not the odd man out with probability of 1 minus the sum of the four probabilities above.