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MathNet 2022-part-06 — 196 problems (EN–VI) Question 41

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 41

Aerith picks two numbers $x \lt y$, and picks one of them to tell to Bob uniformly at random. Is it possible for Bob to have a better than half chance of guessing whether the one he was told is $x$?