etony33
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April 2nd, 2021 at 9:41:16 AM permalink
So, there's an old video game that has a little blackjack minigame you can play. The rules are as follows:

-Just you and the dealer, I'm assuming continuous shuffler and 6+ decks
-No double, split, or surrender
- Blackjack is 1:1, dealer doesn't check for blackjack until after you play
-Dealer will always hit if he would otherwise lose! If you have 20 and the dealer has 19, dealer hits.

Basic strategy would be completely different, of course, but does anyone have a basic idea of just how bad the house edge would be? I'm thinking at least 15%.
unJon
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April 2nd, 2021 at 9:56:01 AM permalink
Quote: etony33

So, there's an old video game that has a little blackjack minigame you can play. The rules are as follows:

-Just you and the dealer, I'm assuming continuous shuffler and 6+ decks
-No double, split, or surrender
- Blackjack is 1:1, dealer doesn't check for blackjack until after you play
-Dealer will always hit if he would otherwise lose! If you have 20 and the dealer has 19, dealer hits.

Basic strategy would be completely different, of course, but does anyone have a basic idea of just how bad the house edge would be? I'm thinking at least 15%.



Does blackjack at least beat a dealer 21 of three or more cards?
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Mission146
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April 2nd, 2021 at 10:01:27 AM permalink
Quote: unJon

Does blackjack at least beat a dealer 21 of three or more cards?



We should delete this thread before this gets installed at The Venetian and becomes their most popular game.
https://wizardofvegas.com/forum/off-topic/gripes/11182-pet-peeves/120/#post815219
charliepatrick
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April 2nd, 2021 at 11:17:30 AM permalink
Quote: etony33

So, there's an old video game that has a little blackjack minigame you can play. The rules are as follows:

-Just you and the dealer, I'm assuming continuous shuffler and 6+ decks
-No double, split, or surrender
- Blackjack is 1:1, dealer doesn't check for blackjack until after you play
-Dealer will always hit if he would otherwise lose! If you have 20 and the dealer has 19, dealer hits.

Basic strategy would be completely different, of course, but does anyone have a basic idea of just how bad the house edge would be? I'm thinking at least 15%.

Assuming the dealer has to hit until they reach 17; obviously they will stand on Soft 17 if that wins, else hit. Or perhaps do they hit soft 17 if you also have 17, possibly a similar argument for soft 18 etc. I assumed not (thought I do remember playing Pontoon on a boat where the dealer would hit 3-card s18s, but that was with 5-card tricks.)

Since the value of 18-21 is less than in regular BJ, but the value of standing stiff is the same, it is probably better to stand slightly earlier and pray (this certainly applies to Pontoon where you lose standoffs.)
billryan
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April 2nd, 2021 at 11:20:25 AM permalink
I used to practice on an old handheld video game. Pretty regular rules except BJ paid 2-4-1. It was a single deck and told you when it shuffled so counting was easy My results were well below expectation until I realized BJ was paying even money. I must have played it for weeks before realizing it was even money.
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etony33
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April 2nd, 2021 at 12:59:31 PM permalink
Quote: charliepatrick

Assuming the dealer has to hit until they reach 17; obviously they will stand on Soft 17 if that wins, else hit. Or perhaps do they hit soft 17 if you also have 17, possibly a similar argument for soft 18 etc. I assumed not (thought I do remember playing Pontoon on a boat where the dealer would hit 3-card s18s, but that was with 5-card tricks.)

Since the value of 18-21 is less than in regular BJ, but the value of standing stiff is the same, it is probably better to stand slightly earlier and pray (this certainly applies to Pontoon where you lose standoffs.)



I should have clarified: the dealer just automatically wins if he has under 17 but his hand beats your hand.
charliepatrick
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April 2nd, 2021 at 3:01:33 PM permalink
Quote: etony33

I should have clarified: the dealer just automatically wins if he has under 17 but his hand beats your hand.

I suspect you always hit 14 (unless you somehow know the dealer has 13 or 14). In theory the Dealer should hit 14 or less if there's a tie, also soft 17, as there's better than a 50:50 chance of winning. Thus I feel it's not going to be a great game for the player!
kewlj
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April 2nd, 2021 at 3:08:43 PM permalink
I forget what how much BJ paying even money adds to house advantage. It is going to be big though because blackjack paying 6:5 increases house advantage up to 2%, so paying even less @ even money, probably upwards of 4%. I'm sure the answer is on Wizard's site somewhere.

To me the really weird thing is the dealer continuing to hit until he beats the player. I mean that is basically a free roll for the house. Player has 19 and dealer has 18 the player is supposed to win. So if dealer hits, he likely busts and losses as he would have anyway, but those instances that he draws a 2 or 3....Free win. Free Roll!

I have no idea what that would do to the house edge but it can't be good. Run for the hills from this game!
teliot
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April 2nd, 2021 at 3:29:13 PM permalink
Quote: kewlj

I forget what how much BJ paying even money adds to house advantage. It is going to be big though because blackjack paying 6:5 increases house advantage up to 2%, so paying even less @ even money, probably upwards of 4%. I'm sure the answer is on Wizard's site somewhere.

Easy to approximate, you are not even close.

Recall that blackjack occurs about 1-in-21 hands (one of those weird blackjack coincidences).

Paying 6/5 instead of 3/2 reduces the payout from 15/10 to 12/10, or 3/10 of a unit. Therefore the house keeps an extra (3/10)*(1/21) = 0.14286. So, 6/5 increases the house edge by about 1.4%.

If blackjack pays 1/1 instead of 3/2, then you lose 1/2 unit every 21 hands, that is the house keeps an extra (1/2)*(1/21) = 0.02381 units. So, 1/1 increases the house edge by about 2.4%.

These are napkin estimates. For the exact effect you would need to know the number of decks being used. Here are the actual numbers for 1 & 8 decks -- you can see how good the napkin estimates are.

1 deck: Blackjack occurs once every 20.71875 hands. 6/5 reduces the edge by 1.448%. 1/1 reduces the edge by 2.413%

8 deck: Blackjack occurs once every 21.07422 hands. 6/5 reduces the edge by 1.424%. 1/1 reduces the edge by 2.373%.
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kewlj
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April 2nd, 2021 at 3:34:47 PM permalink
Quote: teliot

Easy to approximate, you are not even close.

Recall that blackjack occurs about 1-in-21 hands.

Paying 6/5 instead of 3/2 reduces the payout from 15/10 to 12/10, or 3/10 of a unit. Therefore the house keeps an extra (3/10)*(1/21) = 3/210 = 0.14286. So, 6/5 increases the house edge by about 1.4%.

If blackjack pays 1/1 instead of 3/2, then you lose 1/2 unit every 21 hands, that is the house keeps an extra (1/2)*(1/21) = 1/42 = 0.02381 units. So, 1/1 increases the house edge by about 2.4%.

These are napkin estimates. For the exact effect you would need to know the number of decks being used. But, these are close enough to be general across the various games.



Yes, these amounts 1.4 and 2.4 increase in house advantage are ON TOP of the roughly .5 house advantage for most game. So upwards of 2% for 6:5, which is what I said. The even money was just a guess. Looks like I was a bit off, maybe 3% total instead of 4%. Either way....I am not playing this game. :/

Just curious as to you back of the napkin estimate for that weird dealer hits until he wins or busts rule?
teliot
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April 2nd, 2021 at 3:38:32 PM permalink
Quote: kewlj

Yes, these amounts 1.4 and 2.4 increase in house advantage are ON TOP of the roughly .5 house advantage for most game. So upwards of 2% for 6:5, which is what I said. The even money was just a guess. Looks like I was a bit off, maybe 3% total instead of 4%. Either way....I am not playing this game. :/

Disagree. Standard 3/2 single deck has a house edge of 0.18%. If you simply change standard single deck 3/2 to 6/5 then the house edge is about 1.6%. This is what happened in 2003, when hole-carding single deck blackjack suddenly was all the rage and the top AP's laughed at the whining counters all over these boards. In other words, 6/5 blackjack, for a time, was the best thing that ever happened to AP's.

But yes, for standard games, like 6D, DOA, DAS, H17 (with a 0.61% h/a), the edge did move to 2%.

Sorry, I edited my post after you quoted, giving exact values for 1 & 8 decks.
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kewlj
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April 2nd, 2021 at 3:41:46 PM permalink
Single deck, S17, 3:2. Can I borrow your time machine Eliot?

Um...the OP said 6 deck, by the way.
charliepatrick
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April 2nd, 2021 at 3:44:38 PM permalink
Quote: kewlj

I forget what how much BJ paying even money adds to house advantage....

It's 2.27% according to https://wizardofodds.com/games/blackjack/rule-variations/ . As a broad brush, infinite deck, the chance of a Player BJ is 8/169 = 4.73% so a winning one is 4.51% (4.73%x(1-4.73%)). You don't win (i.e. lose) 0.5 every time you win a BJ, so it costs you 4.51/2 = 2.255%. The chance of a BJ is slightly more with finite decks, hence the 2.27%.
teliot
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April 2nd, 2021 at 3:47:55 PM permalink
Quote: kewlj

Single deck, S17, 3:2. Can I borrow your time machine Eliot?

Um...the OP said 6 deck, by the way.

That 1D, S17, DOA game has almost a perfect 0.0% house edge. I meant the 1D, H17, DOA game that you could find all over town up until the early 2000's. That's the one with the 0.18% house edge.

Yes, there were better games back then, like hole-carding 3CP with superstar flashers in every casino.

We used to play a game walking from downtown to the Western ... even money that you would either see a shirtless guy being arrested or get propositioned or get offered drugs on the walk there. Those were the days!
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charliepatrick
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etony33
April 2nd, 2021 at 4:43:54 PM permalink
I ran a very quick (and unchecked other than looking at examples where the dealer does hit 18 vs player's 19) simulation using UK rules (as that's what I had to hand). In essence only changing the code so it never splits nor doubles, player hits various hard totals (e.g. 15v6) as per revised strategy and soft totals as normal, BJ pays 1/1. The result over 10m six deck shoes was 11.635% ouch!

fwiw the number of winning BJs was 22,712,213 out of 478,645,929, so the loss of 1/2 represented 2.373%.

It would be interesting what the effect would be if the same rules applied but you saw both dealer's cards, The main advantage is seeing dealer's hard totals 14 and higher, as you would hit rather than stand and lose, or occasionally (e.g. 86) be able to stand on 14-16.
etony33
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April 3rd, 2021 at 9:45:55 AM permalink
Thank you, I really appreciate that.
Gandler
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April 3rd, 2021 at 3:56:36 PM permalink
Quote: etony33

So, there's an old video game that has a little blackjack minigame you can play. The rules are as follows:

-Just you and the dealer, I'm assuming continuous shuffler and 6+ decks
-No double, split, or surrender
- Blackjack is 1:1, dealer doesn't check for blackjack until after you play
-Dealer will always hit if he would otherwise lose! If you have 20 and the dealer has 19, dealer hits.

Basic strategy would be completely different, of course, but does anyone have a basic idea of just how bad the house edge would be? I'm thinking at least 15%.



What game is this? (The video game that the blackjack minigame is in).
gordonm888
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April 3rd, 2021 at 5:03:54 PM permalink
I don't think anyone has answered the OP.

1. If you stand on 15 vs 6 and the dealer reveals a Ten for a 16, then dealer wins without drawing a card.

2. If you have an 18 vs dealer 7, and dealer turns over a ten, then dealer continues to hit until he beats (or ties?) your 17 or until he busts.

So, gameplay strategy for the player is totally different, because dealer bases his decisions on what the player's hand total is. And I doubt that player has the same strategy vs Ace as he does vs 5.

It obviously is a terribly one-sided game, but arguing about blackjack doesn't address the main issue.
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charliepatrick
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April 3rd, 2021 at 5:21:11 PM permalink
Quote: gordonm888

I don't think anyone has answered the OP.

Sorry before running the simulation I did a very quick infinite deck spreadsheet. I only looked at 2 thru 10 and it suggested
2: Hit 15
3-6: Hit 14
7: Hit 15
8-9: Hit 16
10: Hit 15
I also assumed you hit soft totals as normal. However as I hadn't put much thought or indeed checked my results, I didn't want to imply that these are necessarily correct, but hopefully close enough to get an idea of whether the House Edge is reasonable or horrendous.

If I had had more time I would have run similations by altering the hit cutoffs, but the one run gave a quick estimate (11.6%) of where the game was - i.e. avoid where possible.

I've come across this "14" cutoff on boats' Pontoon, where essentially you have to stand and pray the dealer busts. This low cutoff, and the fact that it applies to (nearly) all the upcards, gives a big clue how bad the game is. (I vaguely remember with no upcard 14 or nearby is a cutoff.)
gordonm888
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April 4th, 2021 at 3:42:57 PM permalink
Quote: charliepatrick

Sorry before running the simulation I did a very quick infinite deck spreadsheet. I only looked at 2 thru 10 and it suggested
2: Hit 15
3-6: Hit 14
7: Hit 15
8-9: Hit 16
10: Hit 15
I also assumed you hit soft totals as normal. However as I hadn't put much thought or indeed checked my results, I didn't want to imply that these are necessarily correct, but hopefully close enough to get an idea of whether the House Edge is reasonable or horrendous.

If I had had more time I would have run similations by altering the hit cutoffs, but the one run gave a quick estimate (11.6%) of where the game was - i.e. avoid where possible.

I've come across this "14" cutoff on boats' Pontoon, where essentially you have to stand and pray the dealer busts. This low cutoff, and the fact that it applies to (nearly) all the upcards, gives a big clue how bad the game is. (I vaguely remember with no upcard 14 or nearby is a cutoff.)



I know the game is an absolute rip-off - I am just intellectually interested in game strategy theory.

I wonder what the strategy is vs Ace -given that Dealer does not peek and will hit soft and hard hands until you are beat.

I imagine the only issue with player's soft hands is whether you hit soft 18 and maybe soft 19 vs Ace.
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charliepatrick
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April 5th, 2021 at 5:46:52 PM permalink
Quote: gordonm888

I know the game is an absolute rip-off - I am just intellectually interested in game strategy theory.

I wonder what the strategy is vs Ace -given that Dealer does not peek and will hit soft and hard hands until you are beat.

I imagine the only issue with player's soft hands is whether you hit soft 18 and maybe soft 19 vs Ace.

After some thought and a different spreadsheet (21-12 Hard, 11-2 Soft). I think the reason hitting 16 vs high cards is still correct is if you stand on 16 and the dealer also gets 16, the Dealer will stand rather than drawing again. Thus one shouldn't just assume that standing on 16 will win when the dealer busts (possibly I might have not factored that in last time.)

This also is why you hit 15 against a 6 and 14 against a 5. I suspect you hit the other 14s as otherwise it makes it too easy for the Dealer to make a winning point.

The soft totals are probably in line with standard Blackjack as, with soft 18, the dealer won't often beat you by hitting 17 to make a difference.

This table assumes the dealer will hit tied situations where it's in their best interest, for instance they will hit soft 18 vs your 18 but not soft 19. They also would have hit 14, but you always hit it now.
Player<-Dealer->
10987654321
21StStStStStStStStStSt
20StStStStStStStStStSt
19StStStStStStStStStSt
18StStStStStStStStStSt
17StStStStStStStStStSt
16HHHHStStStStStH
15HHHHHStStStStH
14HHHHHHHHHH
13HHHHHHHHHH
12HHHHHHHHHH
11StStStStStStStStStSt
10StStStStStStStStStSt
9StStStStStStStStStSt
8HHStStStStStStStH
7HHHHHHHHHH
6HHHHHHHHHH
5HHHHHHHHHH
4HHHHHHHHHH
3HHHHHHHHHH
2HHHHHHHHHH
charliepatrick
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April 6th, 2021 at 2:12:14 AM permalink
Just to confirm, after an overnight run, the House Edge is still about the same 11.68%
Overall Result: Exp: -0.11676961659918852 Hands: 4783824408 Win: 1603713092 Lose: 2389281900 Tie: 563865950 CHY: 0 BJk: 226963466
Also note that the Dealer hitting soft 18 when the Player stands on 18 agrees with the opposite strategy at https://wizardofodds.com/games/blackjack/both-dealer-cards-exposed/ .

Wizard : Do you know whether Players tied or lost pushes in Double Exposure - I only saw it in Atlantic City many years ago so might be wrong with the rules. Thanks
Last edited by: charliepatrick on Apr 6, 2021
smoothgrh
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April 6th, 2021 at 1:25:59 PM permalink
Quote: Gandler

What game is this? (The video game that the blackjack minigame is in).



Yes, as a vintage game collector, I'd like to know too!

I say that one day I'll record the reel strips for the Atari 2600 slot machine cartridge, but that's super low priority.
etony33
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April 6th, 2021 at 1:49:08 PM permalink
Lunar: The Silver Star for Sega CD.

It's just a little minigame like halfway through the game, and it literally takes place in a den of thieves.

Anyway, this is great. Thank you.
etony33
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April 7th, 2021 at 7:37:42 AM permalink
So, I was just playing it a bit more to make sure I had all the rules right.

I was wrong about one thing: if there is a tie at ANY point, even if the dealer has a soft hand or even if you both have 5, it's a push.
smoothgrh
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April 7th, 2021 at 9:11:53 AM permalink
Quote: etony33

Lunar: The Silver Star for Sega CD.

It's just a little minigame like halfway through the game, and it literally takes place in a den of thieves.

Anyway, this is great. Thank you.



Looks as if there are emulators for the game, but I can't get them to run easily. RIP Adobe Flash.
charliepatrick
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April 7th, 2021 at 11:52:55 AM permalink
Quote: etony33

...if there is a tie at ANY point, even if the dealer has a soft hand or even if you both have 5, it's a push.

I'm assuming the dealer will look at their second card, otherwise you might stand on totals which were the same as their upcard.

Including the above rule my simulation got 11.163%. I'm guessing this means the dealer stuck on soft totals when you had 15s or 16s as for the hard totals (15+) it was correct for the dealer to stand.
etony33
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April 7th, 2021 at 8:57:26 PM permalink
Yes, I meant after the dealer's upcard comes into play.
loldongs
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April 25th, 2021 at 1:45:06 PM permalink
Quote: smoothgrh

Yes, as a vintage game collector, I'd like to know too!

I say that one day I'll record the reel strips for the Atari 2600 slot machine cartridge, but that's super low priority.



if there's a ROM floating around for this atari title, i can find it and load it into a disassembler/debugger, and you won't need to manually record the reel strips. we can observe the game logic in an emulator and dump the reel strip data and algos directly.
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