Royal flush question
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That's interesting. So it's where you draw all new cards. When I first saw your post it seemed to me that it would be easier to get a royal on the draw because you'd always be drawing from 47 cards with all the royal cards remaining (except perhaps a 10). But then I saw that one would be taking into consideration that one would rarely draw ALL new cards.
Ya i didn't think about the fact you now had less non royal cards remaining. I guess that would make a small difference. Depending on what game you were playing considering you would toss out AJ or something like that on DW someone better at math would have to get the exact calculations.Quote: GreasyjohnThanks AxelWolf,
That's interesting. So it's where you draw all new cards. When I first saw your post it seemed to me that it would be easier to get a royal on the draw because you'd always be drawing from 47 cards with all the royal cards remaining (except perhaps a 10). But then I saw that one would be taking into consideration that one would rarely draw ALL new cards.
When you discard five cards, the odds of getting a royal on the draw are not the same as the odds of having been dealt a royal flush to start with. Here are the three possible figures for optimal-strategy 9/6 Jacks or Better:
Odds of a dealt royal = 1 in 649,740
Odds of a throwaway royal where a 10 was discarded = 1 in 511,313
Odds of a throwaway royal where only 2s through 9s were discarded = 1 in 383,485 (approximately)
Quote: JBIt is more likely to be dealt a royal flush as your starting hand, than it is to be dealt a hand where the correct play is to discard everything AND subsequently receive a royal flush on the draw, at least in 9/6 Jacks or Better.
When you discard five cards, the odds of getting a royal on the draw are not the same as the odds of having been dealt a royal flush to start with. Here are the three possible figures for optimal-strategy 9/6 Jacks or Better:
Odds of a dealt royal = 1 in 649,740
Odds of a throwaway royal where a 10 was discarded = 1 in 511,313
Odds of a throwaway royal where only 2s through 9s were discarded = 1 in 383,485 (approximately)
I’m not trying to be a nitpick but isn't your opening phrase backward? It would be easier to receive a royal on the draw (if you threw away all the cards) than it would be to receive one as your initial starting hand, because of the 47 remaining cards you have all the royal cards still in the deck (with the exception of a 10 perhaps). In JoB you'd discard all low cards. Yes, there are few times that you'd discard all five cards but I'm not taking that into consideration. I'm just comparing two different video poker screens. Take side-by-side machines, one hasn't hit "deal" and another machine, say, has discarded all low cards (which might include one 10). NOW the second machine has a better chance of receiving the royal than the machine that is about to deal from a 52-card deck.
Quote: GreasyjohnIt would be easier to receive a royal on the draw (if you threw away all the cards) than it would be to receive one as your initial starting hand.
It is easier to receive a royal on a 5 card draw, *given* that you discard 4 or 5 non-royal cards.
It is not easier to receive a royal on a 5 card draw, *given* that you follow basic strategy.
Quote: JBIt is more likely to be dealt a royal flush as your starting hand, than it is to be dealt a hand where the correct play is to discard everything AND subsequently receive a royal flush on the draw, at least in 9/6 Jacks or Better.
When you discard five cards, the odds of getting a royal on the draw are not the same as the odds of having been dealt a royal flush to start with. Here are the three possible figures for optimal-strategy 9/6 Jacks or Better:
Odds of a dealt royal = 1 in 649,740
Odds of a throwaway royal where a 10 was discarded = 1 in 511,313
Odds of a throwaway royal where only 2s through 9s were discarded = 1 in 383,485 (approximately)
I just went to Frugal Video Poker and got the 9/6 Jacks frequency for being dealt a throwaway hand (30.8). So if the question is asked before you hit the deal button then the frequency of making a throwaway royal would be 30.8 X 383,485 = 11,811,338 with a ten not being one of your discards. And 30.8 X 511,313 = 15,748,440 with a ten being one of your discards. So it is much, much, much harder to hit a throwaway royal than being dealt a royal. Out of multi-millions of hands I only did it once, on a spin poker.
That 30.8 figure seems to high that`s almost once every 3 hands for a redraw.Tringlomane,JB anyone?Quote: mickeycrimmI just went to Frugal Video Poker and got the 9/6 Jacks frequency for being dealt a throwaway hand (30.8). So if the question is asked before you hit the deal button then the frequency of making a throwaway royal would be 30.8 X 383,485 = 11,811,338 with a ten not being one of your discards. And 30.8 X 511,313 = 15,748,440 with a ten being one of your discards. So it is much, much, much harder to hit a throwaway royal than being dealt a royal. Out of multi-millions of hands I only did it once, on a spin poker.
Quote: HunterhillThat 30.8 figure seems to high that`s almost once every 3 hands for a redraw.Tringlomane,JB anyone?
The 30.8 is not percent. It's 30.8 deals.
Quote: HunterhillThat 30.8 figure seems to high that`s almost once every 3 hands for a redraw.Tringlomane,JB anyone?
He's saying that you throw away 1 in every 30.8 hands. I think this seems accurate.
the only question should be, how many hands on average dose it take to get a RF, after you toss out 5 non RF cards.
Quote: HunterhillThat 30.8 figure seems to high that`s almost once every 3 hands for a redraw.Tringlomane,JB anyone?
No thats once out of every 30.8 hands not 3. He didn't right it as a percent he wrote it as a frequency. Its roughly 3% slightly more but meh.
Quote: AxelWolfI think its obvious to everyone that the cycle in order to get a redraw royal is much harder to get then a dealt one however i don't think that's the question he is asking.
the only question should be, how many hands on average dose it take to get a RF, after you toss out 5 non RF cards.
Has anything showed in the mail? Appreciate if you let me know?
Oh that makes sense.ThanksQuote: CrystalMathHe's saying that you throw away 1 in every 30.8 hands. I think this seems accurate.
Quote: CrystalMathHe's saying that you throw away 1 in every 30.8 hands. I think this seems accurate.
For those of you who do not have any video poker software you can go to wolfvideopoker.com and download Frugal Video Poker FOR FREE. It only takes a few seconds. Jim Wolf designed FVP. Several years later he designed a more updated version called Wolf Video Poker. WVP has a few more advanced functions than FVP. But FVP will work just fine for you in most situations.
For the 30.8 figure I went to 9/6 Jacks, clicked on "Strategies/Games" then clicked on "Show strategy chart." Then I clicked on "Add Statistics." I put a checkmark in the boxes beside "cycle" and "appeared." These statistics show up right beside the hand in the strategy chart. The "appeared" column shows that there are 84,360 combinations out of 2,598,960 that make a "draw five" hand. The "cycle" column shows that you will be dealt a "draw five" hand every 30.8 games. This is a rounded off number.
If you divide 2,598,960 combinations by 84,360 combinations it works out to 30.807965.
Yes thank you for payment on the bet. I don't often check that PO box so I just checked it today. FYI IT came with with some official looking DAMAGED PACKAGE stamp and sticker on it. At first I thought, I had something like a box damaged. It was partly opened. looks like someone tried to steal the cash, but realized it was not worth their JOB for that amount of money. Its almost as if they can tell what money looks like when its sent in the mail.Quote: petroglyphHas anything showed in the mail? Appreciate if you let me know?
Quote: mickeycrimmFor those of you who do not have any video poker software you can go to wolfvideopoker.com and download Frugal Video Poker FOR FREE. It only takes a few seconds. Jim Wolf designed FVP. Several years later he designed a more updated version called Wolf Video Poker. WVP has a few more advanced functions than FVP. But FVP will work just fine for you in most situations.
For the 30.8 figure I went to 9/6 Jacks, clicked on "Strategies/Games" then clicked on "Show strategy chart." Then I clicked on "Add Statistics." I put a checkmark in the boxes beside "cycle" and "appeared." These statistics show up right beside the hand in the strategy chart. The "appeared" column shows that there are 84,360 combinations out of 2,598,960 that make a "draw five" hand. The "cycle" column shows that you will be dealt a "draw five" hand every 30.8 games. This is a rounded off number.
If you divide 2,598,960 combinations by 84,360 combinations it works out to 30.807965.
So I'm curious. Did any of you guys download Frugal Video Poker?
Quote: AxelWolfI think its obvious to everyone that the cycle in order to get a redraw royal is much harder to get then a dealt one however i don't think that's the question he is asking.
the only question should be, how many hands on average dose it take to get a RF, after you toss out 5 non RF cards.
I answered that question back in this post.
Quote: AxelWolfYes thank you for payment on the bet. I don't often check that PO box so I just checked it today. FYI IT came with with some official looking DAMAGED PACKAGE stamp and sticker on it. At first I thought, I had something like a box damaged. It was partly opened. looks like someone tried to steal the cash, but realized it was not worth their JOB for that amount of money. Its almost as if they can tell what money looks like when its sent in the mail.
That's kinda creepy, I used to send cash to the grandkids all the time. I know there are "readers" that read the magnetic strip from an unknown distance, that's how they catch people at airports and border crossings. Damaged, that's funny they can't even get a friggin envelope to Vegas without damaging it, lol.
Glad it arrived. Next time I'll figure out paypal.
I only hope there is a reason you will have to send me some more cash in the mail.Quote: petroglyphThat's kinda creepy, I used to send cash to the grandkids all the time. I know there are "readers" that read the magnetic strip from an unknown distance, that's how they catch people at airports and border crossings. Damaged, that's funny they can't even get a friggin envelope to Vegas without damaging it, lol.
Glad it arrived. Next time I'll figure out paypal.
