I'm curious if anyone else has seen this game, and also if there is analysis available for it?
Full rules at: http://www.coushattacasinoresort.com/uploads/2014/12/table-3-card-blackjack.pdf
Transcription of rules:
Player may hit one card, or else stand
Only split Aces, and no re-splitting
No doubling
Blackjack pays even money
Dealer will stand on >=16, or hit one card on <=15
Also a bonus bet called "Poker Play" that pays on a payout table based on the player's 2 card or 3 card hand. But if the hand busts, it will not pay the bonus either.
Quote: cyrus...
I'm curious if anyone else has seen this game, and also if there is analysis available for it?
...
Player may hit one card, or else stand
Only split Aces, and no re-splitting
No doubling
Blackjack pays even money
Dealer will stand on >=16, or hit one card on <=15...
An infinite-deck model of the main game without the side bet gives 0.628% as the house edge (assuming the dealer stands on soft 16 as well as hard 16 and split aces receive only one card each). [If split ace hands may be hit, the house edge is only 0.462%.]
Here's the basic strategy for the main game (if the player doesn't bet the poker side bet or if play couldn't help the side bet win)
Soft standing: stand on all soft 17's except vs dealer's up cards of 8, 9, and 10 (then stand on soft 18)
Hard standing: stand on 14 vs 2; 15 vs 3-5; 16 vs 6; 17 vs 7-10; and 16 vs A
Always split aces
How many decks are in the shoe, and is a continuous shuffle machine used?
Quote: VenthusI'd think you could win the pair with two cards. The other hands probably need three cards.
That may be true. If 2 cards were only needed to win most of the other payouts, then it would be a lot of standing going on, I think.
Quote: ChesterDogAn infinite-deck model of the main game without the side bet gives 0.628% as the house edge (assuming the dealer stands on soft 16 as well as hard 16 and split aces receive only one card each). [If split ace hands may be hit, the house edge is only 0.462%.]
Here's the basic strategy for the main game (if the player doesn't bet the poker side bet or if play couldn't help the side bet win)
Soft standing: stand on all soft 17's except vs dealer's up cards of 8, 9, and 10 (then stand on soft 18)
Hard standing: stand on 14 vs 2; 15 vs 3-5; 16 vs 6; 17 vs 7-10; and 16 vs A
Always split aces
How many decks are in the shoe, and is a continuous shuffle machine used?
Thanks for running those numbers. I'd be intrigued to see in CVCX (or other software) what a Wonging counting game would do to this. If the dealer stands on 16 and only draws 1 card on low hands, Wonging in with rather large counts seems quite advantageous. Then again no double and BJ = even money seems quite disadvantageous..
Quote: tringlomaneThat may be true. If 2 cards were only needed to win most of the other payouts, then it would be a lot of standing going on, I think.
Yeah. A two-card blackjack hand will be suited 25% of the time. No way that can play 6:1.
If it does, pack you're bags. We're taking a road trip to Louisiana.
Quote: Romes...Thanks for running those numbers. I'd be intrigued to see in CVCX (or other software) what a Wonging counting game would do to this. If the dealer stands on 16 and only draws 1 card on low hands, Wonging in with rather large counts seems quite advantageous. Then again no double and BJ = even money seems quite disadvantageous..
Below is a comparison of the "effects-of-removal" of cards in regular blackjack and the main bet of this 3 card blackjack variant (with no hitting of split aces.) The regular blackjack effects-of-removal are from this Wizard page. You can see that the effects of card removal are mostly much less for the new game compared to regular blackjack, which would mean that card counting would be much less effective for the new game.
A count for the main bet of this new game might use these tags: ace = -5, two = -1, six=+1, nine=+1, ten=+1, others=0. It's interesting that the removal of tens is good in the new game and the removal of twos is bad.
Card | Blackjack | 3-card |
---|---|---|
10 | -0.0049 | 0.0009 |
9 | -0.0020 | 0.0007 |
8 | -0.0001 | 0.0003 |
7 | 0.0029 | 0.0003 |
6 | 0.0046 | 0.0010 |
5 | 0.0080 | -0.0003 |
4 | 0.0062 | 0.0001 |
3 | 0.0046 | -0.0004 |
2 | 0.0039 | -0.0010 |
1 | -0.0058 | -0.0041 |
Otherwise you could spread min to max counting and nobody would be the wiser.
Quote: ChesterDogBelow is a comparison of the "effects-of-removal" of cards in regular blackjack and the main bet of this 3 card blackjack variant (with no hitting of split aces.) The regular blackjack effects-of-removal are from this Wizard page. You can see that the effects of card removal are mostly much less for the new game compared to regular blackjack, which would mean that card counting would be much less effective for the new game.
A count for the main bet of this new game might use these tags: ace = -5, two = -1, six=+1, nine=+1, ten=+1, others=0. It's interesting that the removal of tens is good in the new game and the removal of twos is bad.
Card Blackjack 3-card 10 -0.0049 0.0009 9 -0.0020 0.0007 8 -0.0001 0.0003 7 0.0029 0.0003 6 0.0046 0.0010 5 0.0080 -0.0003 4 0.0062 0.0001 3 0.0046 -0.0004 2 0.0039 -0.0010 1 -0.0058 -0.0041
Well, that is quite interesting indeed. It would seem this is a much safer game for the house with all of the effects dampened, let alone the intriguing differences (as you mentioned, such as ten and deuce). I wonder why the ace is still so important, even though blackjacks pay 1-1... Hmm, I've got something to think about =p. Thanks again for numbers/comparison!