Analyzing a Blackjack Betting System

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Discussion Overview

The discussion revolves around the analysis of a proposed blackjack betting system that claims to improve upon basic strategy. Participants explore the mathematical and probabilistic foundations of blackjack, evaluating the merits and flaws of the system presented by an individual who asserts it can yield better results than traditional methods.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes the proposed system as a variation of the martingale strategy, suggesting it has a lower expected value compared to basic strategy.
  • Another participant argues that the system lacks a proper understanding of mathematics and probabilities, labeling it as nonsensical.
  • There is a discussion about the complexity of blackjack probabilities, with one participant noting that the dealer does not always bust and that the strategy of never hitting could lead to losses against the dealer's hand.
  • A participant identifies the betting approach as akin to the "gambler's ruin" strategy, highlighting the risks of doubling bets after losses and the potential for catastrophic outcomes without an unlimited bankroll.
  • Concerns are raised about the probability of the dealer winning multiple hands in a row, suggesting that the proposed system may inadvertently increase the house edge.

Areas of Agreement / Disagreement

Participants generally disagree on the validity of the proposed betting system, with some asserting it is fundamentally flawed while others attempt to articulate the mathematical reasoning behind their critiques. No consensus is reached regarding the effectiveness of the system.

Contextual Notes

Participants note the limitations of the proposed strategy, including its dependence on the dealer's busting frequency and the inherent risks of the betting approach. The discussion highlights the complexity of blackjack probabilities and the potential for significant losses.

Allen112
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Hey guys,

Anyone here familiar with blackjack mathematics? I came across a series of threads at another forum where a guy is trying to convince people that he's developed a better betting method than basic strategy. I haven't cracked open a math book in a decade but to me his system looks like just a no-bust martingale variation that should have a much lower expected value over basic strategy.

This is his system:

"I recommend ignoring this if you really want to win at blackjack. There is a reason that the casino will hand you that chart and wants most players to play that way and that is because it makes the house the favorite.

Blackjack is a game I have won far more money at then I have ever lost and I have invented my own system. The only downside to my system is that other players will hate you for not playing to the same playbook they play by. The last time I played I was winning huge but had 3 players verbally abusing attacking me until the dealer said "give the guy a break...he is winning." Also you need to have about $300 to lose to play this way.

Anyway I will for the first time detail my black jack system here.

IT is simple really. Mathematically speaking the dealer is going to bust (get more then 21) every X hands. This is fact. In my experience that number is about 4-6 hands although I have counted a dealer going as many as 11 without a single bust (except they busted me).

So in my system you are playing the bust...not your hand...and not the dealers hand. That means you NEVER bust yourself, ever. I don't care if you are showing 12 and the dealer a 10 you do not hit and bust yourself because that might be your one bust the dealer was going to give you that series.

In my system I will sit out hands while holding my spot until the dealer goes 3 hands in a row without busting. Sometime I sit up to 8 or more hands but thta is rare. Then I will bet the table minimum ($10). If the dealer does not bust and beats my hand then I double my bet ($20) and if I win I am up $10. If the dealer again does not bust and beats my hand then again I double ($40) and so on. I have five straight bets I can make or 8 hands where I am counting on him busting.

I am betting that the dealer will ust once during the 8 hands (remember I waited until he went 3-no-bust). As soon as the dealer busts I go back to sitting out to start all over again.

NOw how I make big money in this system is when the dealer does not bust but I beat their hand outright. I still ramp up my bet expecting a bust to come very soon. I can double and triple my stack on these wins.

Personally I can never understand how people can walk into the ediface that is a casino and realize that it is built with gamblers money and then play off the sheet the casino gives you to play by.

Do yourself a favour and stand and watch and count how many hands it takes a dealer to go bust and what is his longest streak without busting. I doubt you will ever see him go more then 8 straight with no bust unless you watch hours and hours of Blackjack. Hopefully if you play you will not hit his hot streak and you can get in and out with a Mitt full dough by playing the bust."

The thread is here:

http://www.rottentomatoes.com/vine/showpost.php?p=7562360&postcount=49

but the discussion continues here after Cuepee was banned and returned as QP:

http://www.rottentomatoes.com/vine/showthread.php?t=2267387&page=7

If anybody is up to it can they analyze his system here so as not to get mixed up in the mess that most QP threads turn into over at rottentomatoes.

Edited to fix links...
 
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Just reading your description, it's non-sense. The guy has no understanding of mathematics and probabilities.
 
Oh I know his system is garbage, but how would you explain that in mathematical terms. From what I recall basic strategy for blackjack was devised by mathematicians to narrow the house edge as much as possible.
 
Well it's a bit complex because you're dealing with 52 cards so it's not really something you can write a quick equation down to prove. However, his idea that he can just wait for the dealer to bust is stupid. The thinking that you never bust is stupid because the dealer doesn't always bust and every time you get something lower than say, a 12, he has a pretty good chance of beating you without busting simply because you never tried to get a higher value.
 
It's not really complicated and has nothing really to do with 52 cards or even this being Blackjack.
Then I will bet the table minimum ($10). If the dealer does not bust and beats my hand then I double my bet ($20) and if I win I am up $10. If the dealer again does not bust and beats my hand then again I double ($40) and so on. I have five straight bets I can make or 8 hands where I am counting on him busting.

This is just the old "gambler's ruin" ploy. You start with a basic bet, say $10. Every time you win your next be is $10. But everytime you lose you double your bet. That way, win you do, eventually win, you win back every thing you lost before plus $10.

Theoretically that should work. In practice, a series of losses can be catastrophic! Unless you have an unlimited bank, eventually you will lose everything you have. Here, he says "I have five straight bets I can make or 8 hands where I am counting on him busting." 10+ 20+ 40+ 80+ 160= 310. If you start with $310 (he says "about $300") then you will be wiped out if you lose 5 straight hand (I don't see why is then says "or 8 hands") but you cannot count on the dealer busting within that time.

This guys basic idea is to be sure you don't bust by never taking a third card and waiting for the dealer to bust. A blackjack dealer's usual edge is about 8% and this strategy will surely increase it- just to make it easy, lets,say 10%. Then the dealer would have probability of winning of 55%, of losing 45%. The probability of the dealer winning 5 games in a row is (0.55)^5 which is about 5%. That's not very high but remember, with this system, with this system, if you lose you bust completely while if you win, you win a minimum bet.
 
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Hmm, yah that's true

*drives to the local casino*
 

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