All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Return of the hats (Posted on 2002-12-10)
Three players enter a room and a red or blue hat is placed on each person's head. The color of each hat is determined by a coin toss, with the outcome of one coin toss having no effect on the others. Each person can see the other players' hats but not his own.

No communication of any sort is allowed, except for an initial strategy session before the game begins. Once they have had a chance to look at the other hats, the players must simultaneously guess the color of their own hats or pass. The group shares a hypothetical \$3 million prize if at least one player guesses correctly and no players guess incorrectly. What strategy should they use to maximize their chances of success?

(From - http://www.princeton.edu/~sjmiller/riddles/riddles.html)

 Submitted by Raveen Rating: 3.6923 (13 votes) Solution: (Hide) TomM has submitted a solution here that would allow the players to win the prize three out of four times.

 Subject Author Date re: Proving best strategy Gamer 2008-07-12 16:57:03 solution jim 2003-10-29 18:14:24 No Subject Cheradenine 2002-12-18 23:07:37 re(2): Probability TomM 2002-12-15 18:50:39 re: Probability James 2002-12-15 15:05:03 what i would do James 2002-12-15 14:55:52 Probablility levik 2002-12-11 07:25:19 re: Best Odds Jeremy 2002-12-11 07:03:43 Best Odds Chuck Bruce 2002-12-11 04:46:00 Highest probability Georgio 2002-12-11 04:23:18 If movement is allowed.... jagadish babu 2002-12-10 23:27:52 Probability TomM 2002-12-10 16:05:59 Coin toss / hats recieved abu 2002-12-10 14:40:40 re: signals levik 2002-12-10 09:49:50 re: Cory's sach 2002-12-10 09:48:12 No Subject Cory Taylor 2002-12-10 04:19:34

 Search: Search body:
Forums (0)