# Texas Hold 'em poker, flush probability.

Suppose you are playing Texas Hold'em poker and you are dealt the ace of hearts and the ten of hearts. What is the probability that you make a flush with exactly three more hearts on the board by the river?

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...ds.

The number of possible boards is the number ways to choose 5 cards from the 50 unseen cards:

The number of ways to choose 3 hearts from the remaining 11 hearts is:

The ...