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In 5 card poker, mathematically, why does a flush beat a straight? E.g., an open ended straight has 8 possible cards to complete it, while a 4 card flush has 9 cards available to complete it.
Does a flush beat a straight, or a straight beat a flush?
In Texas Hold 'Em, what are the odds of making either a straight, a flush or a straight-flush by the river when dealt suited connectors?
(I would like to see the math.)
For those who are great at probability, but don't know poker: A deck of 52 cards contains 4 suits (spades, hearts, diamonds, and clubs) and each suit contains 13 cards (2-3-4-5-6-7-8-9-10-J-Q-K-A in that order - aces can be high or low). In poker, each person is dealt two cards (hole cards) and then five cards that everyone can use are placed face-up and you have to make the best five card hand out of those seven cards. The first three are called the flop, the fourth is called the turn, and the fifth is called the river. A flush is you have five cards of the same suit, a straight is when you have any five cards in a row (ex. 8-9-10-J-Q) and a straight flush is when you have five cards in a row of the same suit. Suited connectors are two cards dealt to you of the same suit that are one apart (ex: 9-10 of hearts).
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