Texas holdem how to calculate odds

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I have looked at alternatives such as calculating the chance using the number of 'outs' but that only really gives an approximate chance.

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I have been trying to make a chance calculator that gives the exact chance of winning, losing, and splitting the pot for any hand, however as there are so many combinations it takes a very long time to do it. I am trying to make a poker game where you can play against the computer, however for the computer player to be any good it needs to know the chance of winning from its current hand (this is texas holdem poker so you know).

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