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Odds of flopping a royal flush in holdem

The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of % and odds of , 1. It can be formed 4 ways (one for each suit), giving it a probability of % and odds of , 1. Probability of flopping straight flush up vote 2 down vote favorite Assume you're given 2 cards of the same suit, and the next three cards (flop) are also the same suit as your hole cards. What is the probability of that happening? Odds/probability of flopping at least a pair (using one of your pocket cards) from two non-pair cards: to 1 (or % chance) Odds/probability of flopping a pair (using one of your pocket cards) from two non-pair cards.

Texas Hold'em Poker Odds & Probabilities

Add in any other criteria like order the cards come in or what suit and the odd get worse exponentially. When playing a game with high stakes, players wanted to know what the chance of winning would be. To this day, many gamblers still rely on the basic concepts of probability theory in order to make informed decisions while gambling. Just observing the table with no cards exposed: History[ edit ] People thought about probability and gambling long before the invention of poker. By the way, before I go onto Scenario 2, the formula for Scenario 1 is correctly found in the following manner:

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Poker probability

Originally Posted by jolubman Tell me. What are the odds of this happening? I am more intrigued as to what the fooking hell one of the players is doing still in the pot with 6 8 spades after the river Da Bears Wow, several different posts all mixing in a lot of numbers. Maybe a short summary: For the sake of this post, the question is really what are the odds of the board showing any royal flush. There are two answers to this depending on whether you are playing at the table and are given two cards or if you are just watching the table and don't have two cards.

Obviously if you're in the hand and have two cards the numbers, then from your perspective the odds of it happening are slightly better because the pool of cards to choose from is two cards smaller. So, also assuming that suit and order of arrival doesn't matter we have: Just observing the table with no cards exposed: These are the best chances. Add in any other criteria like order the cards come in or what suit and the odd get worse exponentially.

Heh, maybe this summary wasn't so short. Holdem Now can someone possibly calculate the odds of hitting two royal flushes in a fortnight, which is whats happened to me. I hit one on Absolute poker and then lo and behold ten days later on Red Star poker I hit one again.

I've gone years without getting one, and then I get two close together. Da Bears Originally Posted by Jack Daniels For the sake of this post, the question is really what are the odds of the board showing any royal flush.

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Rating Newest Oldest Best Answer: There are 2 ways of seeing this. By the way, if you wrote that in terms of ODDS, it's written ", to 1". Again - 2 for your hand, and 3 for the flop.

It is also the same odds as ALL 5 community cards being a Royal Flush for everyone to share, but that has nothing to do with your question.

By the way, before I go onto Scenario 2, the formula for Scenario 1 is correctly found in the following manner: That's ANY of the face cards in the deck including Aces. There are now only FOUR cards that you can be dealt as your second hole card because it has to match your other hole card's suit.

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On the flop it's now 3 out of 50, then 2 out of 49, then 1 out of 48 for the three Flop cards. I explain it a little more thoroughly in Scenario 2. Therefor your formula is the following: Whichever two doesn't matter. You can get ANY of 3 cards on the first card. That's 3 out of 50 cards left. You can get any of 2 remaining Royal Flush cards as the second card. That's 2 out of 49 cards left. Then you can only get 1 card to complete the Royal Flush for the 3rd 'Flop' card.

That's 1 out of 48 cards left. Don't those cards matter??? You ONLY know 2 cards - your 2 hole cards. If you peeked at your neighbors cards and saw that he didn't have 1 of your Royal cards, then it would change the whole formula and you'd have a better chance.

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