Phạm Ngọc Diệp
(diepzoe)
Member
Bài này em đã post ở CLB KHKT nhưng post thêm ở đây nữa. :biggrin: Em cũng kô chắc là có solution kô? :-/
The Rainbow Game is played by a team of seven. Each player gets a hat, which can be any one of the seven colors red, orange, yellow, green, blue, indigo, and violet. The colors of the hats are independent of each other and repetitions are allowed: for instance, it may happen that all the hats are green. Each player can see only the colors of the six hats worn by the rest of the team; no player can see the color of his or her own hat. The players are to guess the colors of their own hats, and if at least one player guesses correctly then the team as a whole wins.
The players may not communicate in any fashion during the game, and they must all announce their guesses simultaneously. They are, however, allowed to plan out a strategy in advance. Is there a strategy for choosing their guesses that will allow the team to win 100% of the time? (As a warm-up, try it with two players and two colors).
The Rainbow Game is played by a team of seven. Each player gets a hat, which can be any one of the seven colors red, orange, yellow, green, blue, indigo, and violet. The colors of the hats are independent of each other and repetitions are allowed: for instance, it may happen that all the hats are green. Each player can see only the colors of the six hats worn by the rest of the team; no player can see the color of his or her own hat. The players are to guess the colors of their own hats, and if at least one player guesses correctly then the team as a whole wins.
The players may not communicate in any fashion during the game, and they must all announce their guesses simultaneously. They are, however, allowed to plan out a strategy in advance. Is there a strategy for choosing their guesses that will allow the team to win 100% of the time? (As a warm-up, try it with two players and two colors).