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Is there a winning strategy for Atul and Bhola?

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Atul and Bhola are prisoners. The jailer have them play a game. He places one coin on each cell of an 8x8 chessboard. Some are tails up and others are heads up. Bhola cannot yet see the board. The jailer shows the board to Atul and selects a cell. He will allow Atul to flip exactly one coin on the board. Then Bhola arrives. He is asked to inspect the board and then guess the cell selected by the jailer. If Bhola guesses the correct cell among 64 options, Atul and Bhola are set free. Otherwise, they are both executed. Is there a winning strategy for Atul and Bhola? (They can co-operate and discuss a strategy before the game starts).

posted Jul 11, 2014 by Saif Khanam

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