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King Coin Flips the Third, of ToM

Posted by Karl Sharman under Tom (8 Responds)

Two players play the following game with a fair (!) coin.
Player 1 chooses and announces a sequence of 3 heads and tails (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 sequence of three.
The players toss the coin until one [...]

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Efficient Sequence of Questions

Posted by Mohamed under Mathemagic, Tom (11 Responds)

Ewa kept tossing a fair coin until the first head appeared. Let the total number of tosses be N. Igor was then asked to guess N by asking Ewa an efficient sequence of yes-no questions such that the average number of questions is minimized.
What is the form of the questions that Igor asked? And what’s [...]

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