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» Probability and Poker In the standard game of poker, each player gets 5 cards and places a bet, hoping his cards are "better" than the other players' hands. The game is played with a pack containing 52 cards in 4 suits , consisting of:
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POKER PROBABILITIES (FIVE CARD HANDS) In many forms of poker, one is dealt 5 cards from a standard deck of 52 cards. The number of different 5 -card poker hands is. 52 C 5 = 2,598,960. A wonderful exercise involves having students verify probabilities that appear in books relating to gambling.
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Poker/Basics - Wikibooks, open books for an open world
Texas hold 'em (also known as Texas holdem, hold 'em, and holdem) is a variation of the card game of poker.Two cards, known as hole cards, are dealt face down to each player, and then five community cards are dealt face up in three stages. PROBABILITY: 5-CARD POKER HANDS This is five cards in a sequence (e.g., 4,5,6,7,8), with aces allowed to be either 1 or 13 (low or high) and with the cards allowed to be of the same suit (e.g., all hearts) or from some different suits. The number of such hands is 10*[4-choose-1]^5. The probability is 0.003940. 8 Card, 9 Card, and 10 Card Poker Probabilities - Durango Bill
Under ace-to-five low rules, straights are not possible (so 10 ♥ 9 ♠ 8 ♣ 7 ♣ 6 ♦ is a ten-high hand). Each straight is ranked by the rank of its highest-ranking card. For example, J ♥ 10 ♥ 9 ♣ 8 ♠ 7 ♥ ranks higher than 10 ♠ 9 ♠ 8 ♣ 7 ♥ 6 ♠, which ranks higher than 6 ♣ 5 ♠ 4 ♥ 3 ♠ 2 ♦.