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Guest Message by DevFuse
1 reply to this topic
Posted 20 May 2013 - 10:49 PM
Two players play the following game with a fair coin. Player 1 chooses (and announces) a triplet (HHH, HHT, HTH, HTT, THH, THT, TTH, or TTT) that might result from three successive tosses of the coin. Player 2 then chooses a different triplet. The players toss the coin until one of the two named triplets appears. The triplets may appear in any three consecutive tosses: (1st, 2nd, 3rd), (2nd, 3rd, 4th), and so on. The winner is the player whose triplet appears first.
What is the optimal strategy for each player? With best play, who is most likely to win?
Suppose the triplets were chosen in secret? What then would be the optimal strategy?
What would be the optimal strategy against a randomly selected triplet?
Posted 22 May 2013 - 12:00 PM Best Answer
Spoiler for Looks like
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell
- Bertrand Russell
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