#212
In a game show, The Three Stooges; Moe, Larry and Curly entered the room, each with a hat on their head. There were two colors of hats: Black and Red, which were assigned to them randomly. Each person could see the hats of the two other people, but they couldn't see their own hats. Each person could either try to guess the color of their own hat or pass. All three do it simultaneously, so there was no way to base their guesses on the guesses of others. If nobody guesses incorrectly and at least one person guesses correctly, they all share a big prize. Otherwise they all lose.
Before the contest, The Three Stooges had a meeting during which they decided their strategy. What might be the best strategy?
Difficulty Level - 3/5
In a game show, The Three Stooges; Moe, Larry and Curly entered the room, each with a hat on their head. There were two colors of hats: Black and Red, which were assigned to them randomly. Each person could see the hats of the two other people, but they couldn't see their own hats. Each person could either try to guess the color of their own hat or pass. All three do it simultaneously, so there was no way to base their guesses on the guesses of others. If nobody guesses incorrectly and at least one person guesses correctly, they all share a big prize. Otherwise they all lose.
Before the contest, The Three Stooges had a meeting during which they decided their strategy. What might be the best strategy?
Difficulty Level - 3/5
they make a strategy that the black hat will be counted as zero and red hat will be counted as one. the first one sees the other two hats, says a number and passes. if it is zero, the two others have both black hats, and they guess it correctly in their turn. if it is two, the two others have both red hats and again they guess it correctly in their turn. if it is one, the second guy sees the colour on the third guy. if it is black, red is on his head. if it is red, black is on his head.
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