#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
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Hint :
Make the strategy by calculating the odds of winning by that strategy.
Hint :
Make the strategy by calculating the odds of winning by that strategy.
The Strategy decided is......
ReplyDeleteif one sees one red and one black then he will say pass
if the second one sees one black one red then he will too say pass
by this the third person will guess his hat color.
But, they have to be simultaneous. As the question says, "All three do it simultaneously, so there was no way to base their guesses on the guesses of others."
DeleteAnd what if the third person guesses it wrong? They'll lose their prize.