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# Math of Poker

You aren't a true card shark unless you know your probabilities.

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What is the probability of drawing a Heart or a King from a shuffled poker deck?

4 cards are drawn from a shuffled poker deck. How many possible combinations of these cards (without regard to order) are there?

You are playing a game of Five-Card Draw poker. You are dealt the following hand:

During the draw phase, you discard the $$2\clubsuit$$ and $$\text{Q}\spadesuit$$ cards and request two new cards.

What is the probability that you will improve your hand to a straight?

Note: You have no knowledge of the cards the other players have.

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