Royal Flush Chances Texas Holdem
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- @sakon no, there is no assumption made in the question. There is nothing written about hole cards already being dealt. The question simply is if you sit down at a Texas hold'em poker table, what are the odds that you have a royal flush after the hole cards and the flop are dealt. Above is the correct answer to that question. – azimut Jan 22.
- Jun 11, 2006 What are the odds of getting a royal flush in texas hold'em without a wild card.? There are no wild cards in the game of Texas Holdem. The odds against getting a Royal Flush in Texas Holdem is around 649,000 to 1. Login to reply the answers Post; How do you think about the answers? You can sign in to vote the answer.
The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand.
Game summary
Basically a form of poker in which each player is dealt two cards face down, called hole cards. The player may then use none, one, or both of his hole cards, in combination with five board cards or community cards dealt face up, to make the best possible five-card hand.
'Community Cards' are cards dealt face up in the middle of the table and their rankings are shared by all the players.
How to play Texas Hold'em Poker
Play begins by dealing two cards in the Hole (face down) to each player. This is followed by a round of betting. Most hold'em games get the betting started with one or two 'Blind Bets' to the left of the dealer. These are forced bets which must be made before seeing one's cards. Check and raise are allowed.
Play proceeds clockwise from the blinds, with each player free to fold, call the blind bet, or raise. Usually the blinds are 'Live', meaning that they may raise themselves when the action gets back around to them.
Now three board cards are dealt face up in the middle of the table; this is called the Flop. A round of betting takes place, with action starting on the first blind, immediately to the dealers left. Another card is dealt face up called the Turn, followed by another round of betting, again beginning to the dealer's left.
Then the final card, the River, is dealt followed by the final round of betting. In a structured-limit game, the bets on the turn and river are usually double the size of those before and on the flop.
The game is usually played for high only, and each player makes the best five-card combination to compete for the pot. Players usually use both their hole cards to make their best hand, but this is not required. A player may even choose to 'Play the Board' and use no hole cards at all. Dead hits or identical five-card hands split the pot; the sixth and seventh cards are not used to break ties.
Hold'em High-Low Split
The game is played exactly like Texas Hold'em, except the best High hand splits the pot with the best Low hand. However, to win the Low half pot, the player must qualify; he must have a hand with an 8 highest card or better (lower), or the high hand wins the entire pot. Any hand qualifies for High.
The Ranking of Poker Hands
The ranking of poker hands based on probability starting from the highest are shown below.
There are 2,598,960 possible combinations of cards in a poker hand you can be dealt. In brackets below next to the ranking of hands, are 1st the number of possible hands of that rank in 2,598,960 possible combinations, and 2nd your chances of getting one in percentage probability:
- Royal Flush (4 possible hands in 2,598,960. Chance to get one: 0.000154%)
- Straight Flush (36 possible hands in 2,598,960. Chance to get one: 0.00139%)
- Four of a Kind (624 possible hands in 2,598,960. Chance to get one: 0.0240%)
- Full House (3744 possible hands in 2,598,960. Chance to get one: 0.144%)
- Flush (5108 possible hands in 2,598,960. Chance to get one: 0.197%)
- Straight (10,200 possible hands in 2,598,960. Chance to get one: 0.392%)
- Three of a Kind (54912 possible hands in 2,598,960. Chance to get one: 2.11%)
- Two Pair (123,552 possible hands in 2,598,960. Chance to get one: 4.75%)
- Pair (1,098,240 possible hands in 2,598,960. Chance to get one: 42.26%)
- High Card (1,302,540 possible hands in 2,598,960. Chance to get one: 50.12%)
(Note: The above % probability is based on five cards-hand out of five and not on the best five cards out of seven. So the actual odds for each hand are better.)
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Texas Hold Em Flush
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