You are given two boxes with a number inside each box. The two numbers are different but you have no idea what they are. You pick one box to open; read the number inside; and then guess if the number in the other box is larger or smaller. You win if you guess correctly, and lose otherwise.
Is there anyway that you can win the game with more than $50$ % chances no matter what the two numbers are?
I cannot think of a way. Suppose you get $25$ from first box, now probability of you winning is undoubtedly $1/2$. Either the number in box $2$ is greater than 25 or less than.