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Poker Probabilities

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Poker Probabilities, a selection of answers from the Dr. Math archives.

Poker Hand Probabilities
What are the probabilities for all of the different types of poker hands?

Poker Combinations
In a standard deck of cards, how many different ways are there to get a straight, a flush, a straight flush, one pair, or two pairs?

Combinations of Poker Hands
Counting three of a kind, two pair, and one pair poker hands.

Poker Hand with At Least One Ace
What is the probability that a five-card poker hand contains at least 1 ace?

Card Game Probabilities
What is the probability of getting two of a kind in a five-card Poker hand?

Poker Hand Odds
What are the odds of getting exactly one pair in five card stud poker, using one 52-card deck?

Poker, Probability, Combinatorics
If we deal n hands consisting of 2 cards each, what is the probability that there will be no pairs amoung the hands?

Five-Card Straight
From a standard 52-card deck you pull out a 5-6-7-8 (suit is irrelevent). You shuffle the remaining 48 cards and deal 3 more. What percentage of the time will you complete the 5-card straight?

Poker With a Pinochle Deck
If we are playing poker with a pinochle deck, what is the probability that we can be dealt a full house?

Poker with a Pinochle Deck
What is the chance that a 5-card hand is a full house?

Return to
High School Probability
Index of Selected Answers to Common Questions

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