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# Probability of landing on a square

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Anonymous

In a basic board game board, with squares around the outside that players move around using dice to dictate moves (e.g. monopoly, etc) if you have a set numbers of squares, say 10 on each side x 4 = 40 (not allowing for corners etc but I won;t go into that) and you have 4 equally spaced 'chance' squares which if landed on mean drawing a card from a chance deck, can you work out the probability of landing on a chance square?

I presume you would go along the lines of first the chance of a chance square being in the next 6 spaces from a player's current position, and then add the 1 in 6 probablility for the dice roll... :? :? :?

Zzzzz
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Joined: 06/20/2008
Probability of landing on a square

Interesting enough someone on the net has info on various Monopoly probabilities and they reference other links about probabilities in Monopoly, might be worth a look : http://www.tkcs-collins.com/truman/monopoly/monopoly.shtml#Long_term

One interesting thing you might read in the link above is about the "true" probability of landing on a square based on "what" can happen in the game. Lets assume your game has a chance square, but also a move to corner square that when landed on, bypasses the chance square and moves the player right to the corner square. This type of thing would alter the "true" probability of landing on a chance square. So when factored in would chance you player probability of landing on a chance square.

Back to what I believe you are referring, In the similest form, I think you are on the right track. The probability is based on the possible outcomes, if there is a chance square as part of the next 6 spaces the player will have 1 in 6 chance. If there is no chance square within the next 6 spaces, the player will have a 0 in 6 chance.

(Also, this only assumes rolling 1d6 and only allowing forward movement. Moving backward or using 2d6 (as does monopoly) would alter things a lot.)

Zzzzz
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Joined: 06/20/2008
Probability of landing on a square

Ah another persons thoughts on the probability of monopoly :

http://www.durangobill.com/MnplyDiceRoll.html

Another interesting link that contains info about other games/probability:

http://mathworld.wolfram.com/topics/MiscellaneousBoardGames.html

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