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Probabilities of Poker Hands

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See the following link on Poker Probability:
http://en.wikipedia.org/wiki/Poker_probability

Find the probability of 13 cards out of a deck of poker card

Find the following odds shown on the link. The odds of a royal flush, straight flush, four of kind, full house, flush, straight, three of kind, 2 royal flush, 2 straight flush, 2 four of kind, 2 full house, 2 straight and 3 three of kind.

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Solution Summary

Finding probabilities for several combinations of poker hands.

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The total number of distinct 13-card hands = 635,013,559,600.
Royal flash - There is only one royal flash card for each of the 4 suits.
So the total number is =4

Four of a kind - Any 1 of the 13 ranks can form the four of a kind, with the 3 extra cards being ...

Solution provided by:
Chris Busu, PhD (IP)
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  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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