The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.



 Most people are aware that Naughts and Crosses (Tic-Tac-Toe) is a game-theoretic draw (in other words, both players can force a draw, with decent play).

Assume, however, that neither player has any clue what he/she is doing, and plays randomly. What are the odds for each player winning, and the odds of a draw?

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