Markov Chains

Markov Chains Dice Game

See also: Dark Knights Dice

Markov chains are named after Andrei Adreyevich Markov. This is not so much a game as it is an interesting exercise in mathematical probability.

The game is played as follows.

A player throws the two dice.

• If the result is 7 they wins and the game is over.
• If the result is 2 they lose and the game is over.
• If the result is neither 7 nor 2 then the game continues below. The result of this first throw is called the player's point

The player throws the dice again.

• If the result is the same as the first throw -- that is, if the player "makes their point" then they win and the game is over.
• If the result is 7 then the player loses and the game is over.
• If the result is neither the player's point nor 7 then the game continues. This step is repeated over and over again until the player either makes her original point and wins or rolls a 7 and loses.

http://www.math.montana.edu/frankw/ccp/modeling/probability/simulation/learn.htm

Online version of the game:
http://www.math.montana.edu/frankw/ccp/modeling/probability/game.htm