miplet
miplet
Joined: Dec 1, 2009
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June 21st, 2010 at 7:56:27 AM permalink
Ok, my infinite deck analysis is complete. Rules: six 40 card decks. Face cards are removed. Player Spade BJ pays 2:1, pushes Dealer Spade BJ. Player Non-Spade BJ pays 1:1, pushes dealer BJ.
Basic stategy is to hit 16 or less and stand on 17 or more. Split 2's and 3's. (Don't split 3s if you lose 2 bets to Dealer BJ, but still split 2s.)
I get a infinite deck house edge of 0.982124978 %. (1.158338073 % if you lose 2 bets on Dealer BJ when you split 2s)
My analysis is higher by .02% than that of a bj21.com poster, probibly because of how we treated splits.
“Man Babes” #AxelFabulous
dwheatley
dwheatley
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June 21st, 2010 at 8:32:01 AM permalink
How do you split? If you get dealt a 2, then hit and get another 2, are you now allowed to split your 14 into two 12s?
Wisdom is the quality that keeps you out of situations where you would otherwise need it
miplet
miplet
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June 21st, 2010 at 8:39:04 AM permalink
Quote: dwheatley

How do you split? If you get dealt a 2, then hit and get another 2, are you now allowed to split your 14 into two 12s?


That's my understanding.
“Man Babes” #AxelFabulous
DJTeddyBear
DJTeddyBear
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June 21st, 2010 at 8:46:40 AM permalink
Really? That's kinda wierd.

But it makes me wonder....

If you draw a 6 to a 16, can you split those?
I invented a few casino games. Info: http://www.DaveMillerGaming.com/ ————————————————————————————————————— Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
miplet
miplet
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June 21st, 2010 at 8:54:50 AM permalink
Quote: DJTeddyBear

Really? That's kinda wierd.

But it makes me wonder....

If you draw a 6 to a 16, can you split those?


Nope, you can only split 2 to 5.
“Man Babes” #AxelFabulous
Wizard
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Wizard 
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June 29th, 2010 at 2:56:58 PM permalink
I just played it yesterday with croupier and his wife. Here are the rules, my strategy, and my house edge. I welcome all comments and corrections.


Rules

The game follows conventional blackjack rules, except as noted below.

  1. The game is played with six 40-card decks. Each deck has all face cards removed, so only A-10 remain.
  2. The player and dealer both start with the king of spades as the first card. It is printed on the felt for each player spot and the dealer.
  3. If both player and dealer have a blackjack in spades, then the player's bet will push.
  4. If the player has a blackjack in spades, and the dealer does not, then the player's bet will pay 2-1.
  5. If the player has a blackjack in hearts, clubs, or diamonds, and the dealer has any blackjack, then the player's bet will push.
  6. If the dealer has any blackjack, and the player does not, then the player's bet will lose.
  7. Dealer always peeks for blackjack.
  8. The player may hit or stand, as in conventional blackjack.
  9. The player may double down after two cards (including the king of spades).
  10. If the player's second and third card (counting the king of spades as the first card) are the same rank, then the player may split them into two hands, both starting with a king of spades. For example, if the player's second and third cards were both twos, then the player could split them into two hand of 12 each.
  11. I do not know the maximum splits allowed, but this analysis assumes an unlimited number.


Strategy

The player should hit on 16 and less, and stand on 17 or more. In addition, the player should split 2's and 3's.

House Edge

Assuming an infinite deck, and infinite re-splitting, I get a house edge of 0.94%.
It's not whether you win or lose; it's whether or not you had a good bet.
OneAngryDwarf
OneAngryDwarf
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June 29th, 2010 at 3:11:28 PM permalink
So basically, it's a regular blackjack game with the one card everyone hates to see as the dealer's upcard...every time.

What genius greenlighted this thing?
"I believe I've passed the age/of consciousness and righteous rage/I've found that just surviving was a noble fight... I once believed in causes too/I had my pointless point of view/And life went on no matter who was wrong or right..." --Billy Joel
Wizard
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Wizard 
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June 29th, 2010 at 3:22:27 PM permalink
Quote: OneAngryDwarf

So basically, it's a regular blackjack game with the one card everyone hates to see as the dealer's upcard...every time.



Yup, that is about it. The player gets to start with a 10 too, of course. The slogan on the rule card is "The World's Easiest Blackjack Game." You have to give them that, it is an easy game to play.
It's not whether you win or lose; it's whether or not you had a good bet.
OneAngryDwarf
OneAngryDwarf
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July 1st, 2010 at 2:18:23 AM permalink
Quote: Wizard

Yup, that is about it. The player gets to start with a 10 too, of course. The slogan on the rule card is "The World's Easiest Blackjack Game." You have to give them that, it is an easy game to play.



Hmmm. I guess thinking about it from that angle, it's not a bad way to introduce a novice player to blackjack. The house edge is lower than a 6:5 game, at least.

Two more questions I thought of, purely out of curiosity:
1. I assume non-spaded blackjacks pay only even money?
2. If the above is the case, is it possible to hit or double blackjacks? For example, if I got an Ace, could I hit and potentially get another Ace, then split the hand to make two 21s?
"I believe I've passed the age/of consciousness and righteous rage/I've found that just surviving was a noble fight... I once believed in causes too/I had my pointless point of view/And life went on no matter who was wrong or right..." --Billy Joel
Wizard
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Wizard 
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July 1st, 2010 at 5:40:09 PM permalink
Quote: OneAngryDwarf



Two more questions I thought of, purely out of curiosity:
1. I assume non-spaded blackjacks pay only even money?
2. If the above is the case, is it possible to hit or double blackjacks? For example, if I got an Ace, could I hit and potentially get another Ace, then split the hand to make two 21s?



1. Correct.
2. I suppose so, but it would be ill-advised. The expected value is higher to accept the win.
It's not whether you win or lose; it's whether or not you had a good bet.

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