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by Ciro Santilli (@cirosantilli, 37)

Snakes and Ladders

 Home Art Game Board game List of board games
 0 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
Tags: Absorbing Markov chain
"Game" is a bit of a stretch as there are no player choices at all.
A more precise word would be simulation.
More precise, this "game" is exactly an absorbing Markov chain.
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Average length of a Snakes and Ladders game

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Snakes and Ladders Tags: Computational problem
Since Snakes and Ladders is nothing but a Absorbing Markov chain, the results are exactly the same as for that general problem.
www.jstor.org/stable/3619261: How Long Is a Game of Snakes and Ladders? by Althoen, King and Schilling (1993), paywalled.
en.wikipedia.org/wiki/Snakes_and_ladders#Mathematics_of_the_game

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