8. Suppose we are playing the 15-hat game, and player 2 sees red hats on players...
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8. Suppose we are playing the 15-hat game, and player 2 sees red hats on players 1, 6, 8, 11 and 15, while the other players are wearing blue hats. Player 2 calculates that this is a winning state no matter what her hat colour is and in each case she figures out how everyone should vote. Fill in the blanks in the statements below and provide your reasoning. In each statement, in the first blank you put a player number and in the second you put RED or BLUE. Player 2 says to herself: If I am BLUE then: player number_ votes and everyone else passes. If I am RED then: player number. votes and everyone else passes. - 8. Suppose we are playing the 15-hat game, and player 2 sees red hats on players 1, 6, 8, 11 and 15, while the other players are wearing blue hats. Player 2 calculates that this is a winning state no matter what her hat colour is and in each case she figures out how everyone should vote. Fill in the blanks in the statements below and provide your reasoning. In each statement, in the first blank you put a player number and in the second you put RED or BLUE. Player 2 says to herself: If I am BLUE then: player number_ votes and everyone else passes. If I am RED then: player number. votes and everyone else passes. -
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