Deuces Wild Question

[Alan Mendelson]

If the odds of getting DEALT a natural royal are 1/649740 what are the odds of getting DEALT a WILD ROYAL?

I can't seem to find that anywhere.

[slingshot]

If the odds of getting DEALT a natural royal are 1/649740 what are the odds of getting DEALT a WILD ROYAL?

I can't seem to find that anywhere.

Can someone explain the importance of that or any other similar info if you're only gonna play 3-4 hours? I can't seem to wrap my mind around anything but the session at hand.

[Alan Mendelson]

Because sometimes people like to discuss things such as the odds of this happening or the odds of that happening. It has nothing to do with playing a 3-4 hour session or anything else.

Sometimes you are very exasperating.

[slingshot]

Because sometimes people like to discuss things such as the odds of this happening or the odds of that happening. It has nothing to do with playing a 3-4 hour session or anything else.

Sometimes you are very exasperating.

My parents told me the same thing! Just seems odd to me. Carry on.

[nerakil]

Good question Alan. I don't see dealt hand probability published for video poker on many websites. Certainly the Wizard of Odds doesn't publish them.

It's easy to figure out with combinatorics though. To be dealt a wild Royal Flush, it must be one of the following:

•3 Deuces and 2 Suited Broadway cards (any one suit): 4 combinations and 10 combinations. 4*10=40

•2 Deuces and 3 Suited Broadway cards (any one suit): 6 combinations and 10 combinations. 6*10=60

•1 Deuce and 4 Suited Broadway cards (any one suit): 4 combinations and 5 combinations. 4*5=20

That's 120 combinations of dealt wild Royals. Multiply by 4 (suits), you get 480 ways to be dealt it.

Compare that to a dealt natural Royal Flush, which can be dealt only 4 ways. It's ~120 times more likely.

The odds of getting dealt a wild Royal Flush is 120/649,740, or about 1 in 5,400.

If the odds of getting DEALT a natural royal are 1/649740 what are the odds of getting DEALT a WILD ROYAL?

I can't seem to find that anywhere.

[jbjb]

I found this site: http://www.casinonewsdaily.com/casin...uces-wild-math

[redietz]

Thanks, guys. That was a really interesting question. I don't think I remember anyone asking it before.

[regnis]

Good question Alan. I don't see dealt hand probability published for video poker on many websites. Certainly the Wizard of Odds doesn't publish them.

It's easy to figure out with combinatorics though. To be dealt a wild Royal Flush, it must be one of the following:

•3 Deuces and 2 Suited Broadway cards (any one suit): 4 combinations and 10 combinations. 4*10=40

•2 Deuces and 3 Suited Broadway cards (any one suit): 6 combinations and 10 combinations. 6*10=60

•1 Deuce and 4 Suited Broadway cards (any one suit): 4 combinations and 5 combinations. 4*5=20

That's 120 combinations of dealt wild Royals. Multiply by 4 (suits), you get 480 ways to be dealt it.

Compare that to a dealt natural Royal Flush, which can be dealt only 4 ways. It's ~120 times more likely.

The odds of getting dealt a wild Royal Flush is 120/649,740, or about 1 in 5,400.

For purposes of the exact question, the odds of getting a dealt royal, I suppose you could also add 4 deuces and any 10 thru ace for the answer, even though the actual payoff would be less.

[quahaug]

For purposes of the exact question, the odds of getting a dealt royal, I suppose you could also add 4 deuces and any 10 thru ace for the answer, even though the actual payoff would be less.

No. Machine pays highest value hand.

[regnis]

I understand Qua--but the question was odds of it being dealt. Just splitting hairs.

[redietz]

It was a good catch, regnis. I missed it.

[jbjb]

For the curious, any dealt four deuces is 1 in 54,145.

[redietz]

Wow, thanks, jbjb. Didn't know that one, either. I think I've only had that happen once.

[RS__]

4deuces plus T-A dealt isn't a wild RF. I've been dealt 2222 on DW 7 times that I can remember.

[regnis]

Again, not to split hairs, but it is a dealt royal. But it also is a dealt quad deuces which pays better. Just like if the question was what the odds are to be dealt two pair. If you are dealt AAAQQ, it is still 2 pair for purposes of the question.

I think we all know that the 4 deuces pays more as 4 deuces. But that was not the question, and I think calculating the odds of the royal in deuces would include the 4 deuce hand.

[Rob.Singer]

Isn't 4 deuces with a ten 5-of-a-kind?

The point is, regnis is right. If you're playing live 5-card draw and are dealt four deuces with a 10 and you have the winning hand when the next closest hand is a FH, you may identify that hand in any manner you choose, just as each loser at the table can identify it in any manner THEY choose to.

Pose this question to the mensas over at WoV and watch the egos start exploding again. It might be more fun than watching the puss ooze out of a freshly lanced boil.

[jbjb]

I don't care what is called as long as I get paid what I'm supposed to.

[Alan Mendelson]

For argument sake I consider four deuces with a royal card to be quad deuces. I meant the question to include no more than three deuces.

[RS__]

For argument sake I consider four deuces with a royal card to be quad deuces. I meant the question to include no more than three deuces.

^ This.


4 deuces + Ten-Ace is not a wild royal flush. It's 4 deuces. It's not a straight, a 3 of a kind, a flush, or even a "nothing" hand.

The purpose of figuring out the probability of being dealt a wild royal is not some esoteric math problem. In the real world, highest hand is what gets paid. You don't have to tell the machine "I want my 2 to count as a queen of clubs". The machine figures out the best hand you could have and that's it.

When determining how frequently you get dealt a straight, you don't include a straight flush or royal flush. When determining how frequently you get dealt a flush you don't include straight flushes or royal flushes. Doing so would f*** up your math (although, not significantly).

There are plays where you do want to figure out how frequently you get dealt certain hands. It'd be stupid to include dealt full houses (55566) when you wanna know how likely you're dealt a pair, 2 pair, or 3 of a kind.


And no, Rob. 2222T is four deuces, not a five of a kind. Lol.

[Rob.Singer]

Again, the resident expert RS__ doesn't get it. Genius must have its limitations.....