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4 different kinds of royal flushes, 5 cards each.
***NOTE this takes into account that no one has any hole cards.. Im doing the math with a full 52 card deck****
The first flop card has to be one of those 20 royal flush cards in the deck of 52 so the probability of that hitting is 20/52
Once that first card hits, The suit of the royal flush is now set and there is only 4 remaining cards in the deck to complete the hand.
Therefore the 2nd and 3rd flop cards probabilities are 4/51 and 3/50
The turn then has to be 2/49 cards and the river the last 1/48
Multiplying these: 20/52 * 4/51 * 3/50 * 2/49 * 1/48 = 480/311,875,200
Or simply just under 1 in 650,000 times :)
Wiki User
∙ 14y ago
Wiki User
∙ 15y agoOkay, I think I've finally got this one after pondering it for a while. Obviously, there are 13 cards per suit and 4 suits. You are starting with 13 possible cards that will give you a flush on the board and the whole 52 card deck. For this example I will not consider the odds based on the two cards you are already delt. So for the first card you have a 13 out of 52 chance of hitting a card of a specific suit. On the second card, you have a 12 (one is already picked) out of 51 (one card is shown) chance. Third card, 11 out of 50. Fourth, 10 out of 49. Fifth, 9 out of 48. You have to multiply each instance together to get the overall possibility. Here's the math: (13 / 52) * (12 / 51) * (11 / 50) * (10 / 49) * (9 / 48) = .000495 This is about half of one thousandth of a percent. To get the odds, divide one by this number: 1 / .00495 = 2019.4 So there is a 1 in 2019 chance of getting a flush on the board for each suit, but we must now multiply by 4 to get the odds of getting any flush of any suit: .000495 * 4 = .001981 1 / .001981 = 504.8 So overall, pretty close to about 1 in 500. Hope this helps. Go Gators.
Wiki User
∙ 11y agoA Royal Flush is the highest possible hand in Poker and the odds are 649,739 : 1
The above is true for 5 card poker, but not true for Holdem. Because there are 7 cards, the odds go way down:
Choose suit, choose 5 of 5 cards(10JQKA), choose 2 of remaining 47 (numerator)
out of a total of choose 7 of 52 cards (denominator), so you get
combin(4,1)* combin (5,5) * combin( 47,2)/combin(52,7)
Answer is 1 in 30,940
Wiki User
∙ 11y agoChoose suit, choose 5 of 5 cards(10JQKA), choose 2 of remaining 47 (numerator)
out of a total of choose 7 of 52 cards (denominator), so you get
combin(4,1)* combin (5,5) * combin( 47,2)/combin(52,7)
Answer is 1 in 30,940
Wiki User
∙ 14y agoI don't know the exact number, but it's something like 620,000 to 1.
Wiki User
∙ 13y ago649 740:1 or 0.000154%
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What is the probability of getting a royal flush while holding 2 cards to the royal flush?
15999 to 1
In poker what are the odds of getting a royal flush on the initial deal?
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.
What is a way to calculate the odds of getting a Royal Flush in 7-card poker using combinations?
mike
What is the highest valued hand in the poker?
Ace high straight flush AKA Royal Flush. The odds of a Royal Flush are 649739:1
What are the odds of getting royal flush in five card stud?
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.
What beats a Royal Flush?
Nothing beats a Royal Flush. It is the highest hand you can get in poker. you can if you have a royal flush as well but having all of your hearts the same symbol and the ace... that's a higher royal flush... but only if your player has a diamond royal flush you see symbols also have power as well having a hearts royal flush clearly almost let's you beat any royal flush
The odds against getting a royal flush in poker on first five cards dealt is 649740 to 1 Find the probability of this event?
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.
What actors and actresses appeared in Royal Flush - 2004?
The cast of Royal Flush - 2004 includes: Julianna Milka as Poker player Domokos Varga as Poker player
Does a royal flush beat four of a kind?
Yes a Royal Flush is the highest possible standard poker hand you can get.
If you had a royal flush but also had a 9 would you still win?
If you have a Royal Flush the nine is irrelevant as you can only use five cards to make a poker hand. A Royal Flush is the best possible hand in poker, unless someone else also has a Royal Flush there is no way to lose, even if there is another Royal Flush you would win a split pot.
When the poker player got a royal flush all his opponets could do is?
Fold or lose (royal flush beats all)
Does 5 of a kind beat a royal flush with dueces wild?
Nothing beats a royal flush in any kind of poker.
