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I have a fair coin and associate to heads a number a and to tails another...

I have a fair coin and associate to heads a number a and to tails another number b that I choose. After tossing the coin, you are given one of the two numbers. Determine a strategy so that the probability that you correctly state whether the number given is larger is strictly greater than 1/2 even though I can accommodate the way I choose the two numbers according to your strategy.

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