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In Texas Hold’em, each player is dealt two cards from the deck. Obviously, this is done...

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Basic Math

In Texas Hold’em, each player is dealt two cards from the deck.Obviously, this is done without replacement, so you cannot use thebinomial distribution. You can use the hypergeometric distributionor reason from first principles.

a) What is the probability of being dealt a pair? Express it asan exact fraction and an approximate percentage.

b) If you are dealt two unpaired cards, say the ace of clubs andthe 8 of diamonds, what is the chance of getting a pair or betteron the flop? The flop is three cards dealt all at once, and we wantto know the chance that the flop will contain at least one ace orat least one 8.

Answer & Explanation Solved by verified expert
4.4 Ratings (882 Votes)
a the probability of being dealt a pair 4C2 13 52C2 005882353 How so we have 4 cards of same denomination from which we can choose 2 cards and such 13 denominations are there    See Answer
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