### Instruction: Juan, Carlos and Manu take turns flipping a coin in their respective order. The first one to flip heads wins. What is the probability that Manu will win? Express your answer as a common fraction.### Response: To win, Manu needs two things to happen: he gets to flip the coin, and he flips heads.
He gets to flip the coin if the first two flips are tails.
The probability of that is (1/2) * (1/2) = 1/4.
He flips heads with probability 1/2.
So, the probability that he wins is (1/4) * (1/2) = 1/8.