### 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: So Juan has to miss, then Carlos has to miss, then Manu has to win.
The probability of Juan missing is $\frac{1}{2}$.
The probability of Carlos missing is also $\frac{1}{2}$.
And the probability of Manu winning is also $\frac{1}{2}$.