Source: Surprises by Felix Lazebnik
Problem:
Write two distinct integers, one on a card, and put two cards on the table face
down. You can pick any of the two, look at it, and then you have to guess whether
the other number is larger or smaller. Prove that you have a strategy to make a
correct guess with probability strictly greater than 1/2.
Problem:
Write two distinct integers, one on a card, and put two cards on the table face
down. You can pick any of the two, look at it, and then you have to guess whether
the other number is larger or smaller. Prove that you have a strategy to make a
correct guess with probability strictly greater than 1/2.
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