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You and two friends are out for brunch and everyone is deciding who will pay the bill. You have decided to each flip a fair

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You and two friends are out for brunch and everyone is deciding who will pay the bill. You have decided to each flip a fair coin. If you have an outcome that different from your friends, you will pay the bill. If you each have the same outcome the three of you will split the bill evenly. What is the probability that you will have to pay the entire bill? 0.125 0.750 0.250 0.333 0.875

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