It is 0.0465, approx.
The probability of being dealt a full house in poker is 3744/2,598,960 or 1 in 694. The probability of moving up from a full house in poker is 4/47. Check with http://www.indepthinfo.com/probability-poker/full-house.shtml
It is 0.00111 approx.
If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.
The odds of being dealt exactly a full house are 694 to 1 against, which equates to a probability of 0.00144. The probability of all 5 card hands can be found, along with explanations of how to derive the probabilities, can be found at http://www.microcentrics.com/fivecard.aspx.
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.
The probability of being dealt a three of a kind in poker is approximately 2.11.
The probability of being dealt a royal flush in a game of 3 card poker is approximately 0.000154.
The probability of being dealt a straight flush in a game of 3 card poker is approximately 0.0022, or 0.22.
The probability of being dealt pocket aces in a game of poker is approximately 1 in 221 hands.
The probability of being dealt a full house in poker is 3744/2,598,960 or 1 in 694. The probability of moving up from a full house in poker is 4/47. Check with http://www.indepthinfo.com/probability-poker/full-house.shtml
The probability of being dealt a two pair or a straight in a standard 5-card poker hand is approximately 5.88.
The probability of getting 2 pairs in a poker hand is higher than the probability of getting 3 of a kind.
The probability of getting a full house in a game of poker is higher than getting a flush.
The probability of getting a low straight in a game of poker is approximately 0.39, or 1 in 256 hands.
The probability of getting a 5 of a kind in poker is extremely low, as it is not a standard hand in most poker games. In fact, it is not a possible hand in traditional poker games like Texas Hold'em or Omaha.
The probability of getting three pairs in a hand of Texas Hold'em poker is very low, approximately 0.23.
The probability of getting 3 aces in the order AAABB is; P(AAABB) = (4/52)∙(3/51)∙(2/50)∙(48/49)∙(47/48) = 0.0001736... There are 5C3 = 5!/(3!∙(5-3)!) = 10 different ways in which the aces can come out. So the probability of getting exactly three aces in a five card poker hand dealt from a 52 card deck is, P(3A) ~ 10∙(0.0001736) ~ 0.001736 ~ 0.1736%