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    Find the probability of hitting a flush draw in Texas Hold'em poker.

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    Suppose you are playing Texas hold'em poker and your two hole cards are the ace of spades and the king of spades. The flop is the two of spades, the seven of spades and the nine of clubs. Find the probability that you will draw a flush by the end of the hand.

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    Solution Preview

    It's easy to solve this problem if you first find the probability that you will not draw to a flush with the last two board cards. On the flop you have seen 5 of the 52 cards in the deck leaving 47 unseen cards in the deck. Nine of the unseen cards are ...

    Solution Summary

    This solution uses the basic principles of probability to find the probability of hitting a flush draw in Texas hold'em poker.