# Royal Straight Flush Probability Texas Holdem

The probability of making a royal flush is 4/C(52,5) which is equivalent to 1/649740. In terms of odds, this is 649739 to 1 Either you interpreted it wrong, or they were slightly off. Wow.that is much smaller.

1. Straight flush hands that differ by suit alone, such as 7 ♦ 6 ♦ 5 ♦ 4 ♦ 3 ♦ and 7 ♠ 6 ♠ 5 ♠ 4 ♠ 3 ♠, are of equal rank. An ace-high straight flush, such as A ♦ K ♦ Q ♦ J ♦ 10 ♦, is called a royal flush or royal straight flush and is the best possible hand in high games when not using wild cards.
2. Aces can be high or low. An ace-high straight flush is called a royal flush, the best possible hand in poker. ♣ Betting Variations. Texas Hold'em can be played in three basic variations: Limit Hold'em: In Limit Hold'em, the amount you can bet or raise is fixed, according to the posted stakes. A bet placed before the turn card (4th community.
Farley
I am trying to determine the probability of the following occurrences in a Texas Holdem Game with 9 players.
On the flop:
Royal Flush versus queen high straight flush ( I.E board of 10 J Q suited versus AK and 89 of same suit)
On the turn:
Flopped Royal Flush versus 4 of a kind made on the turn
Flopped 4 of a kind versus turned 4 of a kind (pocket pair versus pocket pair)
ThatDonGuy

I am trying to determine the probability of the following occurrences in a Texas Holdem Game with 9 players.
On the flop:
Royal Flush versus queen high straight flush ( I.E board of 10 J Q suited versus AK and 89 of same suit)

There are combin(52,3) = 22,100 different flops, of which four (one of each suit) is Q-J-10, so the probability of the three flop cards being Q-J-10 suited is 1/5525.
I'm not 100% sure I am calculating this right, but here goes...
The probability that any of the 18 hole cards is the Ace of that suit is 18/49.
The probability that that player's other card is the King is 1/48.
The probability that any of the 16 remaining hole cards is the 9 of that suit is 16/47.
The probability that that player's other card is the 8 is 1/46.
The probability that one player in a nine-player game has a royal on the flop and another has a Queen-high SF is the product of these five numbers, or about 1 in 97,551,242.
MaxPen
Where did this happen at?
Farley

Where did this happen at?

It didnt, just trying to determine the probabilities for promotional purposes.
Ibeatyouraces
I've seen a straight flush vs. straight flush bad beat jackpot once.
Farley

I've seen a straight flush vs. straight flush bad beat jackpot once.

Flopped?<---very uncommon, hence my inquiry in my first post.
I like to know the probability of that as well (IE and three suited connect cards with each player holding the two straight flush cards for either side.)
with all 5 board cards, ive seen straight flush versus straight flush (each player using both hole cards) quite a few times in 25 years or so in card rooms
MaxPen

It didnt, just trying to determine the probabilities for promotional purposes.

There is a point in time that an outcome is so unlikely that a promotion based on it is BS.
Farley

There is a point in time that an outcome is so unlikely that a promotion based on it is BS.

I agree, players would recognize that point and it would likely have little affect. Trying to find the median.
Currently the Bad Beat is AAA1010 or better losing to 4 of a kind or better, both cards must play.

### Royal Straight Flush Probability Texas Holdem Tournaments

Objective:
To add additional value to the jackpot ( I.E adding 5K 10K 15K ...or up to 50 or 100K) depending on the hands that qualify and when those hands are made.
Hi all. I should have stumbled upon this forum sooner.

I agree.
4 * C(9,2) / C(52,7) / C(7,3) / 3!!

### Royal Straight Flush Probability Texas Holdem Odds

Numerator: 4 suits, 1 valid flop combo for each suit, C(9,2) possible player matchups, 1 combo for the hole cards

### Royal Straight Flush Probability Texas Holdem Practice

Denominator: 7 cards dealt out of 52, then C(7,3) choices for which 3 are on the flop, then 3!!=3 possible ways to distribute the 4 hole cards between the 2 players involved (when it doesn't matter who gets the Royal and who gets the other).