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Oyvoyvoyv said:

 

You recieve two boxes with a number inside each box. The two numbers are different but you don't know 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?

 

 

If the numbers that are in the boxes are totally random (that is, they aren't restricted to, say, the first 10 numbers), then you'll always have more chances of winning by saying that in the other box is a larger number (since every number has more numbers that are larger than it than numbers that are smaller than it).