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.