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Topic: Tic-tac-toe game probability
Replies: 2   Last Post: Oct 16, 2007 1:38 PM

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Andrew

Posts: 2
From: California
Registered: 10/5/07
Tic-tac-toe game probability
Posted: Oct 5, 2007 8:29 PM
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I have built a game for my child's school festival, and I need to figure out the probability of winning. The game is a 3x3 grid in which a player tosses three balls to try to get 3 in-a-row, like tic-tac-toe, except without the 2nd player to confound the game. There is a fair amount of randomness, since wiffle balls bounce erratically unless they hit the hole dead center, but it isn't completely random. I suppose for simplicity, we can assume it is random.

Using three balls, there are 8 ways to win, but I'm not sure how many ways to lose. If I were to use 4 balls, odds of winning increase a lot, but again, I'm not sure by how much. 5 balls seem like a gimme.

Obviously, there is a happy medium- too many winners and the kids will bankrupt our prize bank, too few winners and people won't want to play.

Any thoughts on this?



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