Using brain cells in prison cells
Today’s puzzle involves two prisoners. Let’s call them Piper and Alex. You will be asked to find a strategy that wins them their freedom.
i) Piper will be led into the new cell. The guard will then take a piece of paper from his pocket and randomly place it into one of the four boxes. Piper will see which box the paper is in. The guard will shut the boxes. He will flip a coin and place it on Box 1. He will flip another coin and place it on Box 2, and so on for Boxes 3 and 4. Each coin has a 50/50 chance of being heads or tails. Piper will be able to see the faces of all coins.ii) Piper must turn a single coin over.
This is an amazing puzzle because it seems utterly impossible that there is a way Piper can convey to Alex with a single coin which box has the paper in it when she needs to take into consideration the four possible locations and 16 possible combinations of heads and tails. You will marvel at the result when you see it.
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