Super Three Card

Do you remember if this game at the Rampart was dealt from a continuous shuffler? I think you would need a continuous shuffle after every deal. That's almost an inherent feature of poker variant games involving 6-8 decks. If you dealt from a six-deck shoe to a cut card at some penetration, that would be wild.

Quote: gordonm888

Do you remember if this game at the Rampart was dealt from a continuous shuffler? I think you would need a continuous shuffle after every deal. That's almost an inherent feature of poker variant games involving 6-8 decks. If you dealt from a six-deck shoe to a cut card at some penetration, that would be wild.

Texas shootout (by Galaxy Gaming) was a 6 deck Texas Holdem game dealt from a shoe while six other decks shuffled. Same as Blackjack.


ZCore13

Hi, I've been looking at this and after using the table you gave on page 1 have now moved onto the known as Pay Table 1 ( https://wizardofodds.com/games/super-three-card/ ).

I've also run a simulation, playing everything but looking for the types of hands that should fold and get very similar figures to those I've calculated. I'll probably look at a brute force method and see what this shows.

/COL]	House Edge	Fold %
Calculated - Pay Table 1	5.532%	25.486%
Simulation - Pay Table 1	5.548%	25.414%
Calculated - Pay Table 3	5.761%	26.124%
Simulation - Pay Table 3	5.777%	26.217%

I've possibly got the same misunderstanding (probably one of the rules somewhere) in both the calculation and simulation.

As an aside it gives a strategy of playing all suited cards, folding unsuited A7, K7, Q7 or lower against A K Q through to playing any possible straight draw or 9x against a 2. fwiw one interesing boundary case it gave was playing 10 6 vs 8 where you folded unless the suit of the 6 matched dealer's.

PS I'm guessing I'm misreading "Suited Pair" as Pair with Flush rather than two identical cards (matched pair, but not trips) and any other card. It probably means you play more unsuited connected cards (e.g. KQ vs A) and so reduces the fold rate a small bit.

Thanks for the work CP. It's interesting to see the basic Three Card Poker strategy getting modified based on the three cards showing. Hmm... you're house edge numbers are roughly twice those of the Wizard.

The numbers were due to my misunderstanding of "Suited Pair". I've run some simulations whereby a Suited Pair beats a flush and got closer to those numbers (HE=2.536%) but I'm still trying to get some figures (and a more detailed strategy) using a calculation.

Quote: Gialmere

I'm guessing that a strategy section will be added later if the game takes hold. Any offhand advise for now? Such as play a Q/7 or better but fold if the dealer's upcard beats your non-paired high card (assuming no possible straight, flush or straight flush)?

I have a new "hand evaluator" under development for 3 Card Fury. It is still being checked out and this early version is very labor-intensive to do a calculation. It may have errors in it. Anyway, I performed a small number of calculations to scope raising a Q/7 (unsuited).


Qs/7h v Jc_____ EV = -0.9093

Qs/7h v Qc____ EV = -1.4137

Js/8h v Tc____ EV = -1.11488

Js/8h v 2c____ EV = -0.93619

The criterion for raise or making the Play bet is to have an EV< -1.0.

I suspect the criteria for Raise on player hands that are unsuited, unpaired and No Straight Draw is:

Raise with
J/X: when Dealer's card is <X
Q/X: when dealer's card is < Q (i.e., 2-J)
K/X: when dealer's card is < K
A/X: when dealer's card is < A, also A/J vs A

Always Fold a hand that is 10/X or lower, and any other unsuited, unconnected, unpaired hand not shown above.
************************************************
There may be some exceptions that I haven't analyzed/thought of.

I now agree exactly with the Wizard's House Edge and Fold percentage. Here is the strategy (please accept any typographical errors as I've copied the details across).

	Fold unsuited	easy straight draws	hard straight draws
A	A7 or less	Some easy (QJ, JT, T9 but not KQ or 87 thru 32)	A3 A2
K	K6 or less	Most easy (QJ thru 43; but not 32)	none
Q	Q7 or less	ALL easy	none
J	J7 or less	ALL easy	none
10	T7 or less	ALL easy	97
9	96 or less	ALL easy	87 75 64
8	96 or less	ALL easy	ALL possible
7	96 or less	ALL easy	ALL possible
6	96 or less	ALL easy	ALL possible
5	95 or less	ALL easy	ALL possible
4	95 or less	ALL easy	ALL possible
3	92 or less	ALL easy	ALL possible
2	85 or less	ALL easy	ALL possible

Note: Play any straight draw which is not folded as per column one, e.g. play 98 vs 9.
Note: This is against pay table 1, against pay table 3 you also fold some flush draws (e.g. K4 vs A).

Quote: gordonm888

I have a new "hand evaluator" under development for 3 Card Fury. It is still being checked out and this early version is very labor-intensive to do a calculation. It may have errors in it. Anyway, I performed a small number of calculations to scope raising a Q/7 (unsuited).


Qs/7h v Jc_____ EV = -0.9093

Qs/7h v Qc____ EV = -1.4137

Js/8h v Tc____ EV = -1.11488

Js/8h v 2c____ EV = -0.93619

The criterion for raise or making the Play bet is to have an EV< -1.0.

I suspect the criteria for Raise on player hands that are unsuited, unpaired and No Straight Draw is:

Raise with
J/X: when Dealer's card is <X
Q/X: when dealer's card is < Q (i.e., 2-J)
K/X: when dealer's card is < K
A/X: when dealer's card is < A, also A/J vs A

Always Fold a hand that is 10/X or lower, and any other unsuited, unconnected, unpaired hand not shown above.
************************************************
There may be some exceptions that I haven't analyzed/thought of.

Wow! Thank You G8! I'm not one of the mathletes here so I'm just amazed at how one of the simplest casino game strategies (raise with Q-6-4 or better, the end) can become so complicated (in a fascinating way) by simply turning one player card down and one dealer card up.

Quote: charliepatrick

I now agree exactly with the Wizard's House Edge and Fold percentage. Here is the strategy (please accept any typographical errors as I've copied the details across).

	Fold unsuited	[]easy straight draws	hard straight draws
A	A7 or less	Some easy (QJ, JT, T9 but not KQ or 87 thru 32)	A3 A2
K	K6 or less	Most easy (QJ thru 43; but not 32)	none
Q	Q7 or less	ALL easy	none
J	J7 or less	ALL easy	none
10	T7 or less	ALL easy	97
9	96 or less	ALL easy	87 75 64
8	96 or less	ALL easy	ALL possible
7	96 or less	ALL easy	ALL possible
6	96 or less	ALL easy	ALL possible
5	95 or less	ALL easy	ALL possible
4	95 or less	ALL easy	ALL possible
3	92 or less	ALL easy	ALL possible
2	85 or less	ALL easy	ALL possible

Note: Play any straight draw which is not folded as per column one, e.g. play 98 vs 9.
Note: This is against pay table 1, against pay table 3 you also fold some flush draws (e.g. K4 vs A).

Wow! Same response as above but this time thank you CP! Some of the quirks on the chart are fascinating. I love this stuff!

Quote: gordonm888

...Js/8h v Tc____ EV = -1.11488....

One of the big differences in this game is that if your third card is an identical one to one you already have then you make a Suited Pair. This beats a normal flush and affects many drawing decisions.
In the case you give
Jh 8d vs Ts I got the EV = -0.652032.
Js 8h vs Ts I got the EV = -0.650020.
Jh 8s vs Ts I got the EV = -0.647632.

(My latest simulation had an EV of -0.6448 for any unsuited J8 vs T, still got a HE=2.534% Fold=22.868% running 1 Bn hands.)