Generalize Problem 57 for (n) people playing the game of odd man out. Data from Problem 57

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Generalize Problem 57 for \(n\) people playing the game of "odd man out."

Data from Problem 57

In a certain office, three men determine who will pay for coffee by each flipping a coin. If one of them has an outcome that is different from the other two, he must pay for the coffee. What is the probability that in any play of the game there will be an "odd man out"?

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