Jumping in Puddles

Tue Jul 20

Tuesday Teaser #20

It’s the Salem witch trials and two villagers are accused of being witches.

The witch-finder-in-chief says “There is a very simple test to tell whether you are witches. Each pick a card from a deck, and you can look at it if you want. But what I want you to do is predict the color of the other person’s card.

I’m going to put you in separate rooms so there is no communication between you. And if you’re both wrong, or one of you is wrong, then you are free to go. But if you both correctly predict the color of the other person’s card, then you are in league with the devil and will be burned at the stake.”

You have one minute to discuss strategy before the game begins. What is the strategy to survive?

I’ve stolen this week’s puzzle from the excellent game theory blog Mind Your Decisions. For anyone with an interest in maths, economics or game theory, I’d definitely recommend this as being worth following.

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