Instanto18
Instanto18
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October 5th, 2010 at 1:14:57 PM permalink
There is a new casino game seen at Santa Fe Station. The name of the game is 'Instant 18'. This is a bet where the player effectively buys the blackjack hand of 18, and never receives cards, just automatically receives the hand of 18. The way it is set up at Santa Fe, you must play blackjack as well, so that if you play $5 on BJ, and $5 on instant 18, you now have two hands. One is played out as normal, and the other, you do not receive cards for it, but already have 18. I was wondering your thoughts on this, and if you could work out the math? While I was playing there, the dealers were remarking, "this game they may have screwed up on! Ill be bringing my whole family down for this one!" I am sure that there is not a mathematical error, but what is the house advantage? PS. Love the site, been using it forever, and is the best on gambling out there.

Thanks!
teddys
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October 5th, 2010 at 1:18:33 PM permalink
How funny! We were just having a discussion on this site about how much the hand of 18 is worth. I think we determined that it is a net loser overall, when you cannot double or split it. But I'd imagine the house edge is very small for a side bet. MathExtremist, are you getting ideas from your games from threads here?
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
thecesspit
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October 5th, 2010 at 2:50:27 PM permalink
This would look to be 0.4739 :

https://wizardofodds.com/blackjack/appendix1.html

Add up the expectations for each hand, and it looks like a good positive bet.
"Then you can admire the real gambler, who has neither eaten, slept, thought nor lived, he has so smarted under the scourge of his martingale, so suffered on the rack of his desire for a coup at trente-et-quarante" - Honore de Balzac, 1829
MathExtremist
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October 5th, 2010 at 3:06:54 PM permalink
Quote: Instanto18

There is a new casino game seen at Santa Fe Station. The name of the game is 'Instant 18'. This is a bet where the player effectively buys the blackjack hand of 18, and never receives cards, just automatically receives the hand of 18. The way it is set up at Santa Fe, you must play blackjack as well, so that if you play $5 on BJ, and $5 on instant 18, you now have two hands. One is played out as normal, and the other, you do not receive cards for it, but already have 18. I was wondering your thoughts on this, and if you could work out the math? While I was playing there, the dealers were remarking, "this game they may have screwed up on! Ill be bringing my whole family down for this one!" I am sure that there is not a mathematical error, but what is the house advantage? PS. Love the site, been using it forever, and is the best on gambling out there.

Thanks!



Exactly what are the rules and payoffs for the side bet?
"In my own case, when it seemed to me after a long illness that death was close at hand, I found no little solace in playing constantly at dice." -- Girolamo Cardano, 1563
Wizard
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October 5th, 2010 at 3:28:06 PM permalink
Based on an infinite-deck, I show the 18 hand is worth -2.11% if the dealer hits a soft 17, and -0.71% if he stands. Can anyone tell which way it is (I'd lay good money on hit), and number of decks? I'll come back with figures for a finite deck.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
MathExtremist
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October 5th, 2010 at 3:29:31 PM permalink
Quote: teddys

How funny! We were just having a discussion on this site about how much the hand of 18 is worth. I think we determined that it is a net loser overall, when you cannot double or split it. But I'd imagine the house edge is very small for a side bet. MathExtremist, are you getting ideas from your games from threads here?


I sure hope not. :)

Actually, the table of statistics I was looking for just the other day would answer this question directly. However, you can short-cut the problem by looking at dealer final-hand totals, e.g.
https://wizardofodds.com/blackjack/appendix2b.html

I just called over to Santa Fe Station and asked the pit about the game. He said it was exactly like getting a blackjack hand of 18, just with no cards and you automatically stand. So you win if the dealer gets 17 or busts, push if the dealer has 18, and lose if the dealer has 19-21. Based on that, and using the tables at the URL above, the bet has a small edge (it varies by # decks and H17/S17). 6 decks, H17 gives an edge of 2.04%. 6 decks, S17 has an edge of 0.64%.
"In my own case, when it seemed to me after a long illness that death was close at hand, I found no little solace in playing constantly at dice." -- Girolamo Cardano, 1563
Wizard
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October 5th, 2010 at 3:39:46 PM permalink
Here are my finite deck results. This is just for the 18-point hand. There were easily gathered from my blackjack appendix 2B. I knew I'd have a use for that someday.

Decks S17 H17
1 -0.003106 -0.016454
2 -0.005091 -0.018799
3 -0.005752 -0.019578
4 -0.006080 -0.019968
5 -0.006278 -0.020201
6 -0.006410 -0.020358
7 -0.006503 -0.020468
8 -0.006573 -0.020552
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
mkl654321
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October 5th, 2010 at 4:23:48 PM permalink
My first two reactions were:

1. Holy crap, this has to be TERRIBLE for the player.
1A. If it wasn't at least LOUSY for the player, the casino would never offer it.
2. Only the completely brain-dead will want to play this game. It's right down there with Casino War.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
DJTeddyBear
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October 5th, 2010 at 5:22:40 PM permalink
I guess the obvious question for the gullible folks who love a sucker bet: Does this mean you can take insurance on both bets?
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? 😁
Wizard
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October 5th, 2010 at 5:44:48 PM permalink
I was just told the Santa Fe has this on all six-deck games, and they hit a soft 17.

Quote: mkl654321

My first two reactions were:

1. Holy crap, this has to be TERRIBLE for the player.
1A. If it wasn't at least LOUSY for the player, the casino would never offer it.
2. Only the completely brain-dead will want to play this game. It's right down there with Casino War.



There are much worse bets in the casino. Also remember the player has to play a regular blackjack bet too. I think you're being a bit harsh.


Quote: DJTeddyBear

I guess the obvious question for the gullible folks who love a sucker bet: Does this mean you can take insurance on both bets?



I don't see why not. Insurance is a much worse bet than the Instant 18 bet by itself.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
thecesspit
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October 5th, 2010 at 5:54:48 PM permalink
Quote: thecesspit

This would look to be 0.4739 :

https://wizardofodds.com/blackjack/appendix1.html

Add up the expectations for each hand, and it looks like a good positive bet.



Okay how did I screw up? I summed the player expectations for standing on 18 from the numbers and got : 0.4379. I should of divided that by 13, for the per hand advantage, I guess, but that still makes 0.03365 for S17 an infinite decks. Is it the infinite deck piece?

Cheers....
"Then you can admire the real gambler, who has neither eaten, slept, thought nor lived, he has so smarted under the scourge of his martingale, so suffered on the rack of his desire for a coup at trente-et-quarante" - Honore de Balzac, 1829
Faustino
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October 5th, 2010 at 6:13:55 PM permalink
This one's easy. A player total of 18 loses at about the rate of 2% against a dealer who stands on all 17's. If the dealer hits soft 17, a player total of 18 probably fairs worse. A total of 18 wins against up cards 2 through 8, and loses against up cards 9 through Ace. The player total of 19 is a winner against the dealer, and wins on average against all dealer up cards (S17).
weaselman
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October 5th, 2010 at 6:25:56 PM permalink
Quote: thecesspit

Okay how did I screw up? I summed the player expectations for standing on 18 from the numbers and got : 0.4379. I should of divided that by 13, for the per hand advantage, I guess, but that still makes 0.03365 for S17 an infinite decks. Is it the infinite deck piece?

Cheers....



I think, those expectations are conditional on dealer not having a blackjack. Factoring that in makes it 0.0137.
Now, THIS, must be the infinite deck piece :)
"When two people always agree one of them is unnecessary"
teddys
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October 5th, 2010 at 6:48:26 PM permalink
Interesting. I'd have to disagree that this bet is horrible for the player. Most side bets are *much* worse. The better question is how will this bet fare at Santa Fe and other places. Most people seem to loooove the hand of 18 from my experience. (Witness people standing on A-7 against a 9 or 10, and not splitting 9s). But won't the house edge make itself very apparent over time on an even-money side bet? Plus, it seems very boring. I don't give it much chance of success. I predict it gone from the Santa Fe within a month or two if this is a trial run.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
mkl654321
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October 5th, 2010 at 7:28:38 PM permalink
Quote: teddys

Interesting. I'd have to disagree that this bet is horrible for the player. Most side bets are *much* worse. The better question is how will this bet fare at Santa Fe and other places. Most people seem to loooove the hand of 18 from my experience. (Witness people standing on A-7 against a 9 or 10, and not splitting 9s). But won't the house edge make itself very apparent over time on an even-money side bet? Plus, it seems very boring. I don't give it much chance of success. I predict it gone from the Santa Fe within a month or two if this is a trial run.



Well, sure, compared to side bets in other games, it's better--but at least all of those other side bets bring some chance of a high payout. And compared to the basic blackjack bet, this side bet stinks, in terms of house PC. Usually what you get in return for the house edge is either some kind of interest or excitement, and/or the possibility of a high payout. This side bet has neither.

It's just another example of how the casinos would rather just lift the money out of your pocket and be done with it, without the hassle of having to deal cards or spin a wheel or use electricity or anything like that. You just get dealt an automatically losing hand (mathematically), then watch and hope. Whee!

(Apropos of the above, this side bet also seems very Stationesque---boring AND unwinnable.)
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
DJTeddyBear
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October 5th, 2010 at 7:35:55 PM permalink
Quote: teddys

Most side bets are *much* worse.

And most side bets are only $1.


There's only one reason most side bets are $1: To make it cheap enough so that people will play it even though it's a terrible bet.

If thE Instant 18 bet is optional, but must be the same as the regular bet, there'd be only one reason: It doesn't make the casino enough money to be offered at a discount.


Based on that logic alone, I'd assume that this is not a bad bet.

Of course, I'd also know that there is no way that a casino will offer a bet, for ANY price, that had a smaller edge than the regular game on that table.

So I wouldn't play it.
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? 😁
teddys
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October 5th, 2010 at 7:55:57 PM permalink
The "Trips" side bet in Ultimate Texas Hold 'Em has a smaller edge than the regular game. (1.9% with the good paytable vs. 2.16% for the regular bet). But I know of no casino that will let you play just the Trips.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
ChesterDog
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October 6th, 2010 at 12:30:01 AM permalink
Quote: Instanto18

There is a new casino game seen at Santa Fe Station. The name of the game is 'Instant 18'. This is a bet where the player effectively buys the blackjack hand of 18, and never receives cards, just automatically receives the hand of 18. The way it is set up at Santa Fe, you must play blackjack as well, so that if you play $5 on BJ, and $5 on instant 18, you now have two hands. One is played out as normal, and the other, you do not receive cards for it, but already have 18. I was wondering your thoughts on this, and if you could work out the math? While I was playing there, the dealers were remarking, "this game they may have screwed up on! Ill be bringing my whole family down for this one!" I am sure that there is not a mathematical error, but what is the house advantage? PS. Love the site, been using it forever, and is the best on gambling out there.

Thanks!



Is "Instant 18" an optional side bet? That is, may the player make only the regular blackjack bet?
Wizard
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October 6th, 2010 at 1:06:56 AM permalink
Quote: ChesterDog

Is "Instant 18" an optional side bet? That is, may the player make only the regular blackjack bet?



The original poster said, "The way it is set up at Santa Fe, you must play blackjack as well, so that if you play $5 on BJ, and $5 on instant 18, you now have two hands." I can't confirm or deny that. I almost never go to the Santa Fe.
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odiousgambit
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October 6th, 2010 at 2:48:03 AM permalink
it doesn't have the allure of the side bets you see in, say, Pai Gow Poker, where you stand to win a lot of money if you hit. That makes it a bit odd to me.

What's funny is I practically start to cheer when I am dealt 18 in BJ. intuition fails again!
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!”   She is, after all, stone deaf. ... Arnold Snyder
weaselman
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October 6th, 2010 at 4:19:43 AM permalink
Quote: odiousgambit



What's funny is I practically start to cheer when I am dealt 18 in BJ. intuition fails again!


You should, unless the dealer has 9,10 or A.
"When two people always agree one of them is unnecessary"
boymimbo
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October 6th, 2010 at 5:34:48 AM permalink
18 gives you a fighting chance at least. You're not alone in your intuition. 18 is not terrible, and for the 2 percent HA, it's not any worse than any of the carnival games and about the same or better than place or field bets at craps. When you think about it when you are getting a terrible run of cards, an 18 doesn't sound that bad.
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Wizard
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October 6th, 2010 at 11:26:54 AM permalink
Here is a preview of my new page on Instant 18. I welcome comments and corrections.
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DJTeddyBear
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October 6th, 2010 at 11:33:17 AM permalink
It's not that complicated, so your preview is fine.

Except...

The second sentence in the first paragraph is either incomplete or has a grammar error:
Quote:

I think a lot of players would say, thinking that 18 is good enough.

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? 😁
mkl654321
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October 6th, 2010 at 12:54:33 PM permalink
Quote: odiousgambit

it doesn't have the allure of the side bets you see in, say, Pai Gow Poker, where you stand to win a lot of money if you hit. That makes it a bit odd to me.

What's funny is I practically start to cheer when I am dealt 18 in BJ. intuition fails again!



What is happening is that while 18 is an above average hand, you can't double down on it or split it (in this game), so it's worth less than an 18 would be in regular blackjack, where sometimes it would be in the form of a splittable 99 or a double down-able A7.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
Wizard
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October 6th, 2010 at 4:26:24 PM permalink
Quote: mkl654321

What is happening is that while 18 is an above average hand, you can't double down on it or split it (in this game), so it's worth less than an 18 would be in regular blackjack, where sometimes it would be in the form of a splittable 99 or a double down-able A7.



If you don't count hands where the dealer busts, or has blackjack, his average points will be 18.84, when the dealer stands on soft 17. Basically, an 18 is not that good. That is also worth remembering when you have a soft 18 against a dealer 9, 10, or ace.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
cclub79
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October 6th, 2010 at 5:26:47 PM permalink
They should just let the player play the side bet. They'll make more money, and they'll deal fewer cards, meaning the game will be faster. It can't hurt, unless a count could be developed to deal specifically with the dealer's ability to make a 17 or bust.
Instanto18
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October 11th, 2010 at 11:36:07 PM permalink
Thank you for answering my question! Appreciate it!
Instanto18
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October 11th, 2010 at 11:42:06 PM permalink
By the way, the limits on the side bet are 1-25.
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