MathExtremist
MathExtremist
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February 5th, 2012 at 12:55:44 PM permalink
I can't bet online due to my state of residence, but I had a thought this morning. Most online casinos offer pretty liberal blackjack games because they're computerized and can easily shuffle between hands (which they do). Several of these also offer multi-player games with timers similar to online poker -- you wait for the person before you to act, then it's your turn, then it's the next player's turn, etc.

In those games, even if the deck is shuffled after every hand, I'm wondering if it's possible to sit at 3rd base, evaluate the cards seen by players before you, and then make index plays to shift the edge toward you. In other words, off the top of the deck, what's the EV difference between a 1st base BS player and 3rd base index player (I18 or full)? I don't have time to code up a sim and I haven't been able to find that data online anywhere.

Or maybe I have -- in the Wizard's Blackjack Calculator, it lists two figures: Optimal and Realistic results. Do the Optimal Results correspond to a player at 3rd base at a full table playing full indexes, vs. the "Realistic Results" which is a basic strategy player?

Note: I'm assuming that online games still can't be beaten with index play even if it's possible to shave off a few tenths from the edge because otherwise there would be bots all over the place doing just that. But what's the EV difference?
"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
DJTeddyBear
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February 5th, 2012 at 2:45:43 PM permalink
What does the website say about the number of decks and reshuffling?

I would assume not only multiple decks and shuffle after each hand, but individual shoes for each player.
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? 😁
AcesAndEights
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February 6th, 2012 at 8:01:05 AM permalink
Quote: MathExtremist

I can't bet online due to my state of residence, but I had a thought this morning. Most online casinos offer pretty liberal blackjack games because they're computerized and can easily shuffle between hands (which they do). Several of these also offer multi-player games with timers similar to online poker -- you wait for the person before you to act, then it's your turn, then it's the next player's turn, etc.

In those games, even if the deck is shuffled after every hand, I'm wondering if it's possible to sit at 3rd base, evaluate the cards seen by players before you, and then make index plays to shift the edge toward you. In other words, off the top of the deck, what's the EV difference between a 1st base BS player and 3rd base index player (I18 or full)? I don't have time to code up a sim and I haven't been able to find that data online anywhere.

Or maybe I have -- in the Wizard's Blackjack Calculator, it lists two figures: Optimal and Realistic results. Do the Optimal Results correspond to a player at 3rd base at a full table playing full indexes, vs. the "Realistic Results" which is a basic strategy player?

Note: I'm assuming that online games still can't be beaten with index play even if it's possible to shave off a few tenths from the edge because otherwise there would be bots all over the place doing just that. But what's the EV difference?


This is called "depth charging" and has been described in a lot of the classic blackjack books. I believe I first read about it in Blackbelt in Blackjack by Snyder.

With liberal rules and a single deck, I believe you can gain the edge. There was a story in the Big Book of Blackjack (also by Snyder) of a guy pulling off a speed addict act who would walk into a casino with a paper shopping bag full of benjamins, play all 7 spots on a single-deck table, and bet increasing amounts on each spot ($100 on first base, $700 on third base). The story took place decades ago when single decks had better rules; I doubt you would be able to get away with this now. But if you knew all the single deck index plays, I'm sure you could theoretically amass a tidy +EV situation this way.

Anyway, for online play, I feel like it would be tough to get good enough rules and the right conditions (multiple players) to make it work. Also you would have to make sure each player doesn't have their own shoe, as the previous poster said.

Sorry, I'm at work and don't have my library handy, so I'm not sure what the theoretical edge is that was published.
"So drink gamble eat f***, because one day you will be dust." -ontariodealer
dwheatley
dwheatley
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February 6th, 2012 at 8:09:51 AM permalink
A quick search found this link

and this passage about a single-deck game:

If I set up a seven-player table, with two rounds between shuffles, and I allow the third-base player, who is using the Zen Count, to see all of the cards of the players who play their hands before him, with a flat bet he will win at the rate of 0.77%. (This is with Reno rules, which allow doubling on 10 and 11 only, and the dealer hits soft 17; with downtown Las Vegas rules, where you can double on any two cards, but the dealer still hits soft 17, the flat-betting third base player will win at the rate of 1.06%, assuming he can see all of the other players' cards.)

With only one round between shuffles, you can only flat bet, so the .77% or 1.06%, depending on the rules, gives you an upper bound on the EV.
Wisdom is the quality that keeps you out of situations where you would otherwise need it
buzzpaff
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February 6th, 2012 at 8:13:24 AM permalink
This requires 2 rounds of play and overlooks the losses of the first 6 hands. Does not sound very profitable to me .
MathExtremist
MathExtremist
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February 6th, 2012 at 8:49:11 AM permalink
Quote: dwheatley

A quick search found this link

and this passage about a single-deck game:

If I set up a seven-player table, with two rounds between shuffles, and I allow the third-base player, who is using the Zen Count, to see all of the cards of the players who play their hands before him, with a flat bet he will win at the rate of 0.77%. (This is with Reno rules, which allow doubling on 10 and 11 only, and the dealer hits soft 17; with downtown Las Vegas rules, where you can double on any two cards, but the dealer still hits soft 17, the flat-betting third base player will win at the rate of 1.06%, assuming he can see all of the other players' cards.)

With only one round between shuffles, you can only flat bet, so the .77% or 1.06%, depending on the rules, gives you an upper bound on the EV.


Thanks. That's really interesting, though I'm not sure it's accurate. In a single-deck pitch game, cards come out face-down so the 3rd base player does not see "all of the cards of the players" -- just some of them (e.g. busts, splits, blackjacks, but *not* stands). I'd like to hear from the Wizard how he derived his "Optimal Results" statistic on the blackjack calculator. That has a much lower figure for 1D, DA2, H17 than +1.06%, though it may not be taking into account the expected visible cards from players 1-6 in the full-table, 3rd base scenario. Is that the discrepancy?

Two questions for follow-on study:
1) What is the edge of a player using perfect composition-dependent strategy in a 1D pitch game at 3rd base/full-table who sees a normal number of other player cards but not "all of the cards of the players"? I'd guess it's a lot lower than the cited statistics.

2) Assume a single-deck online casino. Is there a way for the 3rd-base player to implement a pseudo-count (using a computer) which takes into account (a) the prior player's cards actually seen, and (b) the likely distribution of cards not seen, based on the information that was learned from the prior players' actions? For example, two random cards have an unknown count. But if the player at 1st base stands vs. dealer 9, it is unlikely that the count on those cards is +2. More likely it is -1 or -2. Now, you'd have to be pretty quick on your feet to apply Bayes like this in a live casino setting, but it's trivial to write software for it. Has this concept been studied?
"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
buzzpaff
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February 6th, 2012 at 9:03:06 AM permalink
Black Jack the Smart Way by Richard Harvey has a chapter on the probabilities of cards that players stand on against the dealers upcards, what they might hit on, etc. But the math in the rest of the book made me wonder if John Patrick was a ghost writer for the book. Even I found the mathematical conclusions on most things just plain stupid.
mdh
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February 6th, 2012 at 10:46:01 AM permalink
Cutting edge Blackjack is the follow up book to Blackjack the Smart way by Richard Harvey. This book goes into great detail on how to figure out players facedown cards at pitch games. Both books are interesting. I really like how he teaches you to base your bet size on how well you are doing in this session(w/l margin). He also talks about your probibility of making a comeback once your w/l margin becomes -5 or greater. Im not a math guy(to say the least lol) but I found these books to be different than other Blackjack books I have read.
AcesAndEights
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February 6th, 2012 at 11:30:24 AM permalink
Quote: dwheatley

A quick search found this link

and this passage about a single-deck game:

If I set up a seven-player table, with two rounds between shuffles, and I allow the third-base player, who is using the Zen Count, to see all of the cards of the players who play their hands before him, with a flat bet he will win at the rate of 0.77%. (This is with Reno rules, which allow doubling on 10 and 11 only, and the dealer hits soft 17; with downtown Las Vegas rules, where you can double on any two cards, but the dealer still hits soft 17, the flat-betting third base player will win at the rate of 1.06%, assuming he can see all of the other players' cards.)

With only one round between shuffles, you can only flat bet, so the .77% or 1.06%, depending on the rules, gives you an upper bound on the EV.


Wow, that passage was lifted verbatim out of Blackbelt in Blackjack. I'm surprised Snyder or his goons haven't brought that site down for copyright infringement.
"So drink gamble eat f***, because one day you will be dust." -ontariodealer
AcesAndEights
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February 6th, 2012 at 11:37:35 AM permalink
Quote: MathExtremist

Thanks. That's really interesting, though I'm not sure it's accurate. In a single-deck pitch game, cards come out face-down so the 3rd base player does not see "all of the cards of the players" -- just some of them (e.g. busts, splits, blackjacks, but *not* stands).


The link addressed this, saying the analysis was only accurate if 3rd base could somehow see all the cards. It would be tough to pull off in the real world (easy with 6 confederates :)), let alone online.

Quote:

I'd like to hear from the Wizard how he derived his "Optimal Results" statistic on the blackjack calculator. That has a much lower figure for 1D, DA2, H17 than +1.06%, though it may not be taking into account the expected visible cards from players 1-6 in the full-table, 3rd base scenario. Is that the discrepancy?


If I understand the difference between the 2 numbers from the Wiz correctly, it doesn't have anything to do with counting cards, but means using the much more complicated charts like this that take into account the exact composition of your hand, and not just the total.
"So drink gamble eat f***, because one day you will be dust." -ontariodealer
buzzpaff
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February 6th, 2012 at 11:38:58 AM permalink
I threw his book in the trash after reading a chapter on how to select winning tables, how one spot wins more than any other, etc.
And his circle of 13 distort probailities. A winning edge in 13 cards is a definite loser with 52 cards. And that is the minimum number in any casino, brick and mortar or on-line.
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