15999 to 1
Probability is useless here because you figure probability from the present to the past, which is wrong. Rather like saying; " what is the probability of me drawing a straight flush in this deal of cards? " The cards were dealt and you received a straight flush. The direct analogy is, the " cards ' of life were dealt and we now have cells that go from simple to complex. This is a common and mistaken creationist tactic. Ask any mathematician.
With 5 cards: Straight Flush: approx 72,192 to 1 Royal Flush: 649,740 to 1 With 6 cards: Straight Flush: approx 12293 to 1 Royal Flush: 108289 to 1 With 7 cards: Straight Flush: approx 3590 to 1 Royal Flush: 30939 to 1
I will assume you numbers are correct, and the odds of NOT getting a royal flush is 649740 to 1, then the odd of a royal flush is the reciprocal of that. When we speak of odds in probability it has a very specific meaning. If P is the probability of an even , then the odds in favor of P are P/(1-P). For example, the odds of getting a 6 when we throw a die is not 1/6, it is 1/6 divided by 1-(1/6) or 1/6 divided by 5/6 which is 1/5 or 1 in 5. The odds of not getting a 6 is 1/(1/5)=5 to 1 So your given odds are 649740/1 and the odd of getting the royal flush are 1/649740.
Flush _5 cards same suit...full house _3 same cards + 2 same cards... royal flush _5 face cards of same suit...straight _5 cards in consecutive order...straight flush _5 cards in consecutive order of same suit
Five cards of the same suit is a FLUSH.
In poker the royal flush is the best possible hand, and is thus very rare. If one is playing Texas Hold 'Em, in which one is dealt 2 cards, the chances of getting a royal flush when the first 3 community cards ("the flop") are dealt is about 1 in 650,000.
Because it is easier to get a straight than a flush. Example: If you've got for instance 8-9 in your hand, then you've got multiple ways of getting a straight. You've got 56789, 6789T, 789TJ, 89TJQ. This means you've got four 5's, 6's, 7's, T's, J's and Q's in the deck that can be drawn. That makes 24 cards that will help you. A flush however consists of 5 cards of the same suit, of every suit there are only 14 cards in a deck. Considdering you are holding 2 cards of the same suit, there are only 12 cards remaining that can help you. Of course preflop you've got a better chance of getting a straight then a flush. On the flop things can - of course change -. The odds of hitting your straight on the Turn or River all depends on which cards are drawn on the flop and/or turn. Fun fact: You can not make a straight without a 5 or a Ten.
The odds of getting a royal flush in five card stud is the same as in any poker game with five cards involved, i.e. 649,740 to 1.
A straight flush and a royal flush if you are talking about poker. Edit: The only thing that will beat this particular hand is a straight flush or a royal flush. However, if you are physically holding all of these cards, a straight flush is all that can beat this. The reason behind this is because a royal flush requires an ace with the same suit. Since you are holding all of the aces, there will not be a royal flush against you. ----- In some poker-playing groups, when playing with wild cards, you could potentially have five of a kind, which even beats a straight flush. And of course a royal flush is just one particular straight flush (with ace on top instead of a lower card on top); it would also be beaten by five of a kind.
If you get 5 cards face down the odds that you will get a three of a kind are 1:50 More odds: Royal Flush 1:650,000 Straight Flush 1:65,000 Four of a Kind 1:4,000 Full House 1:700 Flush 1:500 Straight 1:250 Trips 1:50 Two Pair 1:20 Pair 1:2.3 The Odds of flopping trips in Texas Hold'em when holding two non-paired cards is 73:1. The Odds of flopping a set or better when holding a pair is 8.5:1.
The probability of no player ever getting a pair with 5 players of Texas Hold 'Em in 26 hands is 1.4937 x 10-8, but see the note at the bottom. A five-player game of Texas Hold 'Em has 15 cards in play on each hand; the two down cards for each player, and the 5 common up cards. The probability of one of the down cards matching the other down card or one of the five up cards is 6 in 52 or 0.11538. The probability of one of the up cards matching one of the four other up cards is 4 in 52 or 0.076923. Invert these probabilities, and you get the probability of not matching: 46 in 52 for the down card, and 12 in 13 for the up card. Multiply these two together, and you get the probability of 552 in 676 or 0.81657 that one player does not have a pair. To determine the probability that no player has a pair, include the four other down card probabilities in the calculation. The up card probability is common to all players, so you only count that once. You get a probability of 2471555712 in 4942652416 or 0.50005 that no one has a pair in one game. To determine the probability that no player has a pair in 26 games, simply raise that to the 26th power, giving a probability of 1.4937 x 10-8 (0.000000014937) that no one gets a pair in 26 games. Note that this does not include the probability of someone not getting a flush or straight - it only gives the probability of no one ever getting a pair, and the result is so low as to be practically impossible.
A flush (A 5 card combination of 5 cards of the same suit) can beat the following combinations. 1 Pair 2 pair 3 of a kind Straight A flush with a lower kicker.