pacomartin
pacomartin
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January 16th, 2010 at 2:03:09 PM permalink
The single deck game at El Cortez has the best odds in Vegas with a $5 minimum. It is featured on five different tables. There are equivalent house edges on the strip but with $25 or $100 minimums. Wynn has an excellent game but it has a $500 minimum.
========
The Las Vegas Blackjack Survey says the house edge is 0.18%.
1) Number of decks of cards used: 1
2) Dealer hits or stands on a soft 17: hits
3) Player can double after a split: no
4) Player can double on: any first two cards
5) Player can resplit to: The survey does not specify but assume 4 hands
6) Player can resplit aces: no
7) Player can hit split aces: The survey does not specify but assume yes
8) Player loses only original bet against dealer BJ: The survey does not specify but assume yes
9) Late surrender allowed: no
10) Blackjack pays: 3 to 2



But using the Blackjack House Edge Calculator as follows you get:
1) Number of decks of cards used: 1
2) Dealer hits or stands on a soft 17: hits
3) Player can double after a split: no
4) Player can double on: any first two cards
5) Player can resplit to: 4 hands
6) Player can resplit aces: no
7) Player can hit split aces: yes
8) Player loses only original bet against dealer BJ: yes
9) Late surrender allowed: no
10) Blackjack pays: 3 to 2

Optimal results:0.02166%
Realistic results: 0.17336%
---------------
= The optimal results are based on perfect composition dependent strategy and the dealer shuffling after every hand, which benefits the player.
= The realistic resuts are based on total dependent basic strategy, like the tables on this site, and the use of a cut card, which favors the dealer.
---------------
Their is a discrepancy between 0.17336% and 0.18%. The wizard cautions The Current Blackjack Newsletter is the source, [for the house edge in the survey] and may differ slightly from my Blackjack House Edge Calculator. It is not that one of us is right or wrong, but that blackjack is a difficult game to analyze, and differences in methodology can play a minor effect on the results.

I think that these are the same rules that go back to when Jackie Gaughan purchased the El Cortez in 1963. If the dealer had to stand on a soft 17, or was permitted to double after split the house edge would pretty much go to zero. Most other casinos that have single deck games have many more rules that hurt the player so that the edge is actually worse for the player than the multi-deck games.
Last edited by: pacomartin on Jan 17, 2010
teddys
teddys
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January 16th, 2010 at 3:16:06 PM permalink
I have to quibble with your results. I don't think the El Cortez allows drawing to split aces. This make the house edge .15176% optimal and .30306% realistic.
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In fact, the best 21 game for the "realistic" blackjack player (one who uses basic, total-dependent strategy and doesn't count) is at the Longhorn/Bighorn casinos with an edge of .25%
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
pacomartin
pacomartin
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January 17th, 2010 at 3:30:21 AM permalink
Stanford Wong's Las Vegas Blackjack Survey has 7 different blackjack rules while Shackleford's
Blackjack House Edge Calculator has 10 different rules.
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I believe that two of them are relatively common defaults
Player can resplit to: 4 hands seems to be the default rule
Player loses only original bet against dealer BJ: yes seems to be the default rule

But if the answer to third is
Player can hit split aces: no

then the final expected value in the Las Vegas Blackjack Survey seems like it is way too low (as teddys pointed out).

I am questioning the accuracy of the survey. There is also what looks like transcription errors (for instance one Wynn game is listed as 0.16% which seems to make no sense).

If the Wizard sees this post could he comment?
teddys
teddys
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January 17th, 2010 at 5:59:10 AM permalink
I've never seen a casino that allows hitting split aces, and I've played at a LOT of places. You always only get one card. I must assume this is the default rule.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
BenJammin
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January 17th, 2010 at 8:17:40 AM permalink
No Double After Split(DAS)on the two deck games, all are H17.(hit soft 17) I'm fairly sure the same applies to the single deck game.

Can you re split 3 or 4 times? (non Aces) negligible. I didn't ask.

No RSA No HSA .

Last I played there they had a three dollar two deck table as well. I think it was last November. I won on that. Am I to understand they only have $5 dollar single deck there now?

see the house edge calculator click link in above post

https://wizardofodds.com/blackjack/house-edge-calculator.html
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pacomartin
pacomartin
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January 17th, 2010 at 10:50:17 AM permalink
Cortez has $3 tables once in a while.

The expected values in the Las Vegas Blackjack Survey seems to be wrong.
DorothyGale
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January 17th, 2010 at 10:59:56 AM permalink
Edit -- deleted.
"Who would have thought a good little girl like you could destroy my beautiful wickedness!"
DorothyGale
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January 17th, 2010 at 11:08:56 AM permalink
Quote: pacomartin

The expected values in the Las Vegas Blackjack Survey seems to be wrong.



I wrote my own simulator in C++ a few years back to do blackjack analysis.

My most recent simulation of 1 deck, NDAS, NRSA, H17, DOA (standard game at El Cortez) was for 451,200,000 hands (dated 10-28-2009). For this number of hands, my simulation gave a house edge of 0.1802%.

Regarding the house edge, the Wizard states this disclaimer in his survey:

Quote: Wizard

The Current Blackjack Newsletter is the source, and may differ slightly from my Blackjack House Edge Calculator. It is not that one of us is right or wrong, but that blackjack is a difficult game to analyze, and differences in methodology can play a minor effect on the results. Both sets of figures are good enough, in my opinion.



I personally feel that a simulation of sufficiently many rounds, using basic strategy, is the most accurate method.

--Dorothy
"Who would have thought a good little girl like you could destroy my beautiful wickedness!"
BenJammin
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July 30th, 2010 at 1:54:46 AM permalink
Quote: DorothyGale

Quote: pacomartin

The expected values in the Las Vegas Blackjack Survey seems to be wrong.



I wrote my own simulator in C++ a few years back to do blackjack analysis.

My most recent simulation of 1 deck, NDAS, NRSA, H17, DOA (standard game at El Cortez) was for 451,200,000 hands (dated 10-28-2009). For this number of hands, my simulation gave a house edge of 0.1802%.

Regarding the house edge, the Wizard states this disclaimer in his survey:

Quote: Wizard

The Current Blackjack Newsletter is the source, and may differ slightly from my Blackjack House Edge Calculator. It is not that one of us is right or wrong, but that blackjack is a difficult game to analyze, and differences in methodology can play a minor effect on the results. Both sets of figures are good enough, in my opinion.



I personally feel that a simulation of sufficiently many rounds, using basic strategy, is the most accurate method.

--Dorothy



Don't Quibble, just play and have fun.

The Wizard of Odds is the ultimate authority on gambling.<-
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FleaStiff
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July 30th, 2010 at 3:44:17 AM permalink
Quote: BenJammin

Don't Quibble, just play and have fun.


It seems that a great many gamblers do want to carry things out to four decimal places and always try to gamble under optimal mathematics. I would more be interested in just knowing the approximate house edge so as to avoid situations wherein I might play roulette at 5.26 percent house edge when a 2.7 percent house edge wheel was also available a few feet away or across the street. I would truly hate to be playing at a 6:5 table in a casino that also offered 3:2.

ElCortez is downtown and if you are already downtown, I imagine its worth it to go to the El Cortez for the better edge.

I assume that fatigue, alcohol and mistakes will alter the four decimal place figures anyway.

I might sometimes like to do BigRed at 11.67 percent. The critical factor is that I know what I am doing. And I make an informed choice about it. Passline is 1.414 percent. It gives me enough information to know that its 1.4. The extra decimal places are fun to know and will never hurt to know, but for me it won't be a deal-breaker. If the field bet pays extra, I'd like to know about it, but its probably not going to be a deciding factor and I'm not going to trek all over town for some digit all the way off to the right of the decimal point.

For those who truly enjoy carrying things out to four decimal places... good luck. Maybe I'll be there at the El Cortez with you some day.
teddys
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July 30th, 2010 at 8:35:01 AM permalink
Quote: BenJammin


Don't Quibble, just play and have fun.

The Wizard of Odds is the ultimate authority on gambling.<-

Heh, that is the whole point of this board -- to quibble! Otherwise, what would we do all day? :)
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
Ibeatyouraces
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January 8th, 2012 at 1:06:35 PM permalink
deleted
DUHHIIIIIIIII HEARD THAT!
FleaStiff
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January 8th, 2012 at 2:25:38 PM permalink
Quote: teddys

Otherwise, what would we do all day?

Count to 42,000 while waiting for your Royal Flush or count to 6.5 while waiting for the point to be either won or lost. Or stare at the annunciator until Seven Red lights up because that has the most immediate repeats so we all bet on it immediately after it hits.

Or hitchhike to the other side of town in the hot sun so we could play blackjack at a .0001 percent better table so we can make more money and be able to afford the buffet there that is 22 percent worse.
dm
dm
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January 8th, 2012 at 8:06:42 PM permalink
Quote: FleaStiff

Count to 42,000 while waiting for your Royal Flush or count to 6.5 while waiting for the point to be either won or lost. Or stare at the annunciator until Seven Red lights up because that has the most immediate repeats so we all bet on it immediately after it hits.

Or hitchhike to the other side of town in the hot sun so we could play blackjack at a .0001 percent better table so we can make more money and be able to afford the buffet there that is 22 percent worse.



Don't have to count, dumbass. The rng sort of does that for you. They will come and kick your ass, not back to even, but AHEAD! Of course, winnig modest amounts of money and loving the doing of it is beneath your dignity. So, what do you do all day, moron? Lose your ass yelling at a craps table? PLUK-can't wait to hear how cool you must be. Tell us.
dm
dm
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January 8th, 2012 at 8:08:04 PM permalink
Quote: FleaStiff

Count to 42,000 while waiting for your Royal Flush or count to 6.5 while waiting for the point to be either won or lost. Or stare at the annunciator until Seven Red lights up because that has the most immediate repeats so we all bet on it immediately after it hits.

Or hitchhike to the other side of town in the hot sun so we could play blackjack at a .0001 percent better table so we can make more money and be able to afford the buffet there that is 22 percent worse.




How dare you refer to yourself as a "flea"! NO WAY! You're a high roller, baby.
eastcoastguy
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February 9th, 2012 at 3:32:05 PM permalink
Hello,

Sorry if this question has been asked before, but at the single deck blackjack games at El Cortez, does the dealer take a peek at his hole card when a 10 or Ace is showing?

Thanks!
buzzpaff
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February 9th, 2012 at 4:29:37 PM permalink
Quote: DorothyGale

Quote: pacomartin

The expected values in the Las Vegas Blackjack Survey seems to be wrong.



I wrote my own simulator in C++ a few years back to do blackjack analysis.

My most recent simulation of 1 deck, NDAS, NRSA, H17, DOA (standard game at El Cortez) was for 451,200,000 hands (dated 10-28-2009). For this number of hands, my simulation gave a house edge of 0.1802%.

Regarding the house edge, the Wizard states this disclaimer in his survey:

Quote: Wizard

The Current Blackjack Newsletter is the source, and may differ slightly from my Blackjack House Edge Calculator. It is not that one of us is right or wrong, but that blackjack is a difficult game to analyze, and differences in methodology can play a minor effect on the results. Both sets of figures are good enough, in my opinion.



I personally feel that a simulation of sufficiently many rounds, using basic strategy, is the most accurate method.

--Dorothy




I am math illiterate as MathExtremist and CrystalMath can attest to. But something bothers me about all these simulators or charts giving value for rule changes. How does one allow for the compounding effect. Double after splitting can not be the same value when you can only double on 10 or 11 versus any value. And vice versa. Or are the difference too small.

How long did it take to run that many hands, may I ask ?
Ibeatyouraces
Ibeatyouraces
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February 9th, 2012 at 5:22:05 PM permalink
deleted
DUHHIIIIIIIII HEARD THAT!
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