Paigow odds for royal flush royal match simultaneously player and dealer
I assume the odds of 2 royal flushes on the same hand are pretty high. How much higher are the odds for a player and the dealer to both get a royal flush with royal match on the same hand and neither of us had the joker?
Quote: MuffsticI was in Vegas 15-20 years ago and probably got the only royal flush with royal match I'll every get in my life. There was no bonus on this table but figured I would at least win the hand or push. The dealer flipped over his cards and he also had a royal flush with the royal match. Needless to say I lost the hand.
I assume the odds of 2 royal flushes on the same hand are pretty high. How much higher are the odds for a player and the dealer to both get a royal flush with royal match on the same hand and neither of us had the joker?
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Does "royal match" mean a suited K-Q ?
If so, the probability is: 4*3*2*1/ (c(52,7)*c(45,7) ) = 3.95316E-15
Edit: Correction for the joker being in the deck: P= 4*3*2*1/ (c(53,7)*c(46,7) ) = 2.90893E-15
Quote: MuffsticYes royal match means suited K-Q. I don't know what 2.90893E-15 means can you give it to me in real numbers
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"E-15" means "*10-15".
I believe it can be less conveniently written as
0.00000000000000290893
Quote: MuffsticI was in Vegas 15-20 years ago and probably got the only royal flush with royal match I'll every get in my life. There was no bonus on this table but figured I would at least win the hand or push. The dealer flipped over his cards and he also had a royal flush with the royal match. Needless to say I lost the hand.
I assume the odds of 2 royal flushes on the same hand are pretty high. How much higher are the odds for a player and the dealer to both get a royal flush with royal match on the same hand and neither of us had the joker?
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Welcome to the forum. This is (supposed to be) a math based forum. The likelihood of seeing what you said happened is so remote as the far greater likelihood is you ‘mis-remembered’ something here. I’ve played Pai Gow for 30+ years a decent amount of time. I’ve never seen a Royal flush with a Royal match. Seeing one or two in a lifetime of heavy play is certainly a reasonable possibility. Seeing two on the same deal is so unlikely as it is much more reasonable to believe you are in error than to think it actually happened. Please don’t take this as being argumentative. But since anyone can claim anything they want here with no proof needed we try and see if the math makes any sense. In your case it doesn’t.
Quote: DieterQuote: MuffsticYes royal match means suited K-Q. I don't know what 2.90893E-15 means can you give it to me in real numbers
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"E-15" means "*10-15".
I believe it can be less conveniently written as
0.00000000000000290893
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This can also be written as "Once every 343,769,010,000,000 hands".
With all the casinos in the world, and all the hands of Pai Gow each table deals each day, it has to happen eventually. One thing's for sure: If I see this hand on the table, I'm pulling out my phone and taking a picture of it, and I don't care if I get kicked out for doing it.
Quote: MuffsticThe simple fact that you don't believe me doesn't mean it didn't happen. I didn't misremember anything. Trust me if you ever have the misfortune of experiencing a beat that bad it will haunt you for the rest of your life. It will be as crystal clear 50 years later as it was at the time it happened.
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Correct. It may have happened. But for us anonymous internet chatters there are all sorts of such claims that I can never ‘prove’ are false. The classic here on WoV is a posthumous poster who claimed to have seen 18 yo’s in a row rolled. Other than some sort of photo evidence, witness testimony or the like, you just won’t be able to convince us strangers it happened. But for you, should that really matter?
Do you believe the gentleman I mentioned actually saw 18 consecutive rolls of 11 on a craps table?
Another poster said he would have taken a photo. I would have taken one if just I got the RF with RM!!!
Quote: gordonm888Just for the record, OP claimed 'RF+RM vs RF+RM', but did not stipulate that the joker was not used. So the probability of what he claimed is 14 x higher, or Prob = 4.0725E-14. Which is still extremely improbable.
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Didn’t his second paragraph said neither had the joker? And he specifically asked for those odds? Not that it matters much.
So with no jokers, it could be a double tie for the loss, but most players will set the RF.
That is the one hand I have never seen either, and I have played a ton of PGP (25 years) and dealt/supervised a bunch too (10 years). To get two in one hand is not believable.... Sorry, new poster.
Quote: PlayYourCardsRightMost PGP players mis-set thst hand as RF on bottom and KQ on top. House way in every place Ive played is KKAJT with QQ.
So with no jokers, it could be a double tie for the loss, but most players will set the RF.
That is the one hand I have never seen either, and I have played a ton of PGP (25 years) and dealt/supervised a bunch too (10 years). To get two in one hand is not believable.... Sorry, new poster.
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Yeah…. It’s a clear QQ in the low hand. That’s how the house way would be at my home casino. The ‘two pair- don’t care’ concept.
The OP said he figured he’d at least win the hand or push. Meaning he likely played it wrong at RF with a KQ. Now we also have to believe he was at a casino that would have that bad of a house ways? Is there any casino anyone has played at that would set RF and KQ?
Quote: SOOPOO
The OP said he figured he’d at least win the hand or push. Meaning he likely played it wrong at RF with a KQ. Now we also have to believe he was at a casino that would have that bad of a house ways? Is there any casino anyone has played at that would set RF and KQ?
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There is also the possibility that the dealer mis-set it as a royal flush down, and in all the excitement nobody caught it.
More likely though is that both the dealer and the OP set their hand as two pair. If I'm playing, and I have Kings and Queens, I'm feeling confident in a win or a push as well. In fact moreso than if I had a royal down with KQ up. I'm not banking on a win with less than an ace up.
Quote: DeucekiesQuote: SOOPOO
The OP said he figured he’d at least win the hand or push. Meaning he likely played it wrong at RF with a KQ. Now we also have to believe he was at a casino that would have that bad of a house ways? Is there any casino anyone has played at that would set RF and KQ?
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There is also the possibility that the dealer mis-set it as a royal flush down, and in all the excitement nobody caught it.
More likely though is that both the dealer and the OP set their hand as two pair. If I'm playing, and I have Kings and Queens, I'm feeling confident in a win or a push as well. In fact moreso than if I had a royal down with KQ up. I'm not banking on a win with less than an ace up.
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Gotta disagree. The majority of players are savvy enough to know if you can put queens in the low hand you are putting queens in the low hand. Also, at most table the Royal Flush alone would trigger envy payments, and that results in at a minimum a pit boss coming over. They make a big deal with 4 of a kind. None of them are going to notice the mis set?
Quote: SOOPOOQuote: DeucekiesQuote: SOOPOO
The OP said he figured he’d at least win the hand or push. Meaning he likely played it wrong at RF with a KQ. Now we also have to believe he was at a casino that would have that bad of a house ways? Is there any casino anyone has played at that would set RF and KQ?
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There is also the possibility that the dealer mis-set it as a royal flush down, and in all the excitement nobody caught it.
More likely though is that both the dealer and the OP set their hand as two pair. If I'm playing, and I have Kings and Queens, I'm feeling confident in a win or a push as well. In fact moreso than if I had a royal down with KQ up. I'm not banking on a win with less than an ace up.
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Gotta disagree. The majority of players are savvy enough to know if you can put queens in the low hand you are putting queens in the low hand. Also, at most table the Royal Flush alone would trigger envy payments, and that results in at a minimum a pit boss coming over. They make a big deal with 4 of a kind. None of them are going to notice the mis set?
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Read the second half of my post.
