Showing posts with label You Can't Win. Show all posts
Showing posts with label You Can't Win. Show all posts

Wednesday, April 29, 2009

If you don't believe that how a player bets can determine if he wins or loses, you probably should not be gambling.

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Gambling is not a word I am fond of, because it suggests a foolhardy disregard of the odds and a reckless trust in luck.

I have not thought of myself as a gambler in more than three decades. A player, sure. But let's face it, gambling is for suckers!

I have spent the last day or so making my spreadsheet models more accessible to other people, so that I have less explaining to do when I agree to polite requests for copies of the files than enable me to make the claims I do for target betting.

It is just a matter of tidying up the boilerplates so that the function of the conditional formulas is less of a mystery.

I know what they are for (I created them, after all!) but some of the functions have been in place for so long that even I have forgotten how some overall results are arrived at. I just know that they are accurate.

I need answers to a lot of questions whenever I plug in a new data set and every so often I clean house this way to make sure that errors have not crept in and then gone unnoticed.

Spreadsheets are wonderful things, but it is far too easy for an occasional small glitch to grow into a major problem if every cell is not carefully reviewed once in a while.

Along the way I have been looking at whether or not the "Push-plus" rule I apply to blackjack (PBx2, PB+$100 max) would not be a good policy for baccarat.

I have come to the conclusion that backing Banker all the way is, contrary to the advice of most of the experts I have read, a very dangerous idea, with or without what would technically become "Tie-plus."

I have tried to make sense of the "no commission" variations that have been spreading through casinos since around 2003, working on the assumption that "new rules" are never introduced to benefit the player.

After an excess of open-minded analysis, I am back to my long-held belief that betting on Player only is the surest way to stay ahead of the game.

The "Tie-plus" experiment highlighted what is really the only major difference between me and the self-styled experts in gambling mathematics.

They cannot fault my methodology or the accuracy of my results, so they switch gears and complain that the target betting strategy is "not practical."

I say the player has control over his eventual fate.

They say that whatever he does to try to dodge the bullet, eventually the invincible house edge will find its mark and do him in.

They say that runaway sims provide an honest and accurate gauge of any betting method's chances of upsetting the odds.

I say that as long as we are willing to accept what I now think of as the "presumption of inertia" (not to mention idiocy, insanity, and ineptitude and eventual insolvency), then simulations that eliminate the human element, along with cards, dice, wheels, tables and dealers, may have something to tell us.

But given that actual casino table games are played by human beings, not mindless robots, their only useful lesson is that if you play like a total idiot, you will lose all your money!

Since I believe that experienced players can sense when it is time to back of from a bad situation, helped by betting rules that tell them when a change of location is due, I reject runaway sims completely.

Ah, say the experts, that's because computer simulations prove that your target betting strategy is bogus.

Au contraire, say I - very large samples of actual outcomes from reliable sources, along with on-going play against games that I have singled out as suitable for target betting, prove that my method is the only way to win consistently.

To get back to the topic of ties in baccarat, my policy has always been to ignore them, except when a dealer gets really pushy about trying to sell them as a sensible option.

When that happens (usually at a mini-baccarat layout), I smile my very best smile and say, OK, from now on, your tokes go on the Tie. The subject very rarely comes up again.

I found from reprocessing the Jones baccarat sample (more than 225,000 rounds with ties reinstated) that applying blackjack's push-plus to baccarat ties can add from 5% to 50% to the final win.

Here's a breakdown:-


Probably the first thing that jumps out at you here is that betting "Tie+plus" suffered two crippling busts while ignoring the ties (as I have for years) had just one minor hiccup that was quickly reversed in the next few shoes.

But then in 23 of 30 data sets averaging more than 7,000 rounds or 100 shoes apiece, the more aggressive betting approach paid off handsomely. That's better than 76%.

So what about those deadly busts?

Let's take a closer look at them, forgetting the illogical and unscientific caveat than in gambling, what's past can never be a predictor of what the future holds.


As the caption comments, not a pretty sight.

Now please consider the important fact that in real play, it would be impossible for prolonged downturns like these to do anything close to the damage indicated in the results summary you see here.

There is not a casino on earth that would permit you to open with a $5 minimum bet and progress all the way to a $25,000 wager, spreading 1-5,000.

Table limits exist solely to encourage gamblers to "spread tight," greatly limiting their chances of recovering from egregious downturns like those you see here.

In fact, spreads are getting tighter all the time, requiring a target bettor fighting a temporary slump to move several times from layout to layout before recovering prior losses (the all-important LTD) and starting over with a minimum bet.

Generally, I will suspend a new series when I lose a $100 bet at a $5 table, or lose $200 after a $10 opener, but there is wiggle room on the lower rungs of the ladder that enables playing conditions to dictate the first bail-out.

I do not always walk away from a $100 loss.

In fact, most of the time, I just fall back to a minimum bet, and make a mental note of the LTD/NB numbers from the unrecovered loss. Then I keep playing, perhaps suspending a few more series, until my brain cries out for a break so I can write those targets down before they evaporate!

The critical question that is begged here is How likely is it that when you bail out of a downturn, you will encounter another (and maybe another after that) when you resume play elsewhere?

For a haphazard, seat-of-the-pants gambler, the odds may be as bad as 50-50 that his lousy "luck" will continue and he will sink ever deeper into the hole, however often he bails out in search of greener pastures.

Not so the target strategist. He needs just two wins in succession to turn a losing series around. And more often than not a single win will do the trick.

The "worst case scenario" charts above confirm what you and I already know. Most of the time, the win-loss pattern in a game of chance is like ping-pong with more bounces: a win, a loss, two wins, three losses, a win, a loss, three wins and so on.

In blackjack, the average EOS comes in quite a bit less than six rounds. In baccarat, turnaround takes just a little longer.

The random bettor who is five bets behind is on a slippery slope, often needing to get the same number of bets ahead in order to escape the noose.

That is never true for a target player. Ever.

Because baccarat has only even-money payouts (less if you are crazy enough to bet on Banker!) it makes sense that it would have longer recoveries and lower EOS profits than blackjack, with all its doubles and splits and naturals to boost the player's bottom line.

For that reason, I strongly recommend adding the Tie-plus rule to your target betting strategy.

The painful busts you see above represent nothing more than a reminder that a player who will not take steps to mitigate the damage from a downturn probably deserves to lose.

My critics constantly parrot the notion that damage control is a fantasy for fools, but the math says otherwise.

Target betting enables a player to repeatedly recover his losses in fewer bets than it took to get him into trouble in the first place.

A random bettor can only achieve that end by accident.

As long as you are able to win more when you win than you lose when you lose (my turn to be a parrot!) then losing more often than you win will not hurt you.

Finally, more about the cliff-drop downturns illustrated in the charts above.

Here are details of the first few bets in each "killer" series.

The red shading shows where bail-outs would have been required by the target betting rules, or by house-mandated table limits.


Most recovery series wrap up in five bets or less, enabled by the paired player wins that are a consistent and reliable feature of every game's win-loss pattern.

Longer series occur more often in baccarat than in blackjack: about 10.5% of the time vs. 8.5%.

But even so, every time you bail out of a bad run, you have much better than an 80% probability that the WLP will level out enough to enable turnaround.

You also had an 80% chance of seeing an improvement if you had stayed where you were. But as the Chinaman once said, a killer losing streak must always begin with a handful of losses, so DBO (translation: don't bend over).

You cannot know ahead of time if the negative trend that just showed up will continue long enough to wipe you out. All you can know is that the threat you are facing is an aberration, one that probably will not continue if you suspend play for a while, and resume the LTD/NB elsewhere.

One of the many failings of the runaway sim is that by totally excluding the human element, it must ignore the simple question of morale and the extent to which intuition and good sense can enhance a player's winning prospects.

They dismiss gut feelings or intuition as pathetic irrelevancies.

They don't know what they are talking about.

A winning system that never fails is a mathematical impossibility. Even the house does not have one of those.

Does that mean that we should all play like fools and accept that losing is inevitable?

I don't think so.

An important reminder: The only person likely to make money out of this blog is you, Dear Reader. There's nothing to buy, ever, and your soul is safe (from me, at least). Test my ideas and use them or don't. It's up to you.

Sunday, March 29, 2009

The latest BST session should have turned out very badly. It didn't. Maybe next time?

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The conventional wisdom holds that because the house advantage at casino table games is immutable and invincible, any attempt to beat it must ultimately prove fruitless.

The message from the experts is that you can't win, so trying is a waste of time.

They tell me to "just do the math," and my problem is that the more math I do (applying far more strict standards of fairness and accuracy than most mathematicians I have encountered) the shakier and more vulnerable the house advantage proves to be.

In this post, fewer words, more pictures. Here they are (and as always, clicking on any image will make it larger and fully legible)...


I'm not a big fan of double-up or Martingale betting, not because it doesn't work (in spite of what house-trained mythematicians will tell you, it really does) but because it is quickly spotted by pit personnel who will then do whatever it takes to stop it. The chart above shows that against the current BST outcomes, the traditional Martingale and my more aggressive version of it both overcame the house edge without exceeding the house limit I imposed (a house limit being the highest permitted table limit). The summary above also reminds us that target betting is a far better way to go.

The data below cover the current batch of BST trials (#15) and have a lot to tell us about the inherent weakness of the house advantage, as long as it is not bolstered by tight spread limits. Casinos do all they can to prevent players from "betting wide" but gamblers are themselves the strictest enforcers of this damaging rule. Very few weekend punters spread wider than 1-5, and those that do (mostly high rollers) do it randomly. Bad idea!



Of all the claims I have made for my methods, the one that attracts the most flack is the target betting axiom that "if you win more when you win than you lose when you lose, then losing more often than you win won't hurt you." Yeah, I get it, they tell me, "You bet more when you know you are going to win and less when you know you are going to lose." Funny stuff! And very un-smart. You don't need a crystal ball to achieve this important objective, but you do need a strict set of rules and the discipline to apply them consistently.



In the latest BST contest, as in most of them, target betting could not succeed against a $5-$1,000 spread limit. And as always, I am not in the least surprised. Don't tell me that the bets that target betting requires are too high or that the risks my methods impose are beyond the reach of the average part-time punter. Tight spreads are far more dangerous than a controlled progression, as you can see (AGAIN) from the latest BST numbers. And this whole thing is not about making "recreational gamblers" rich on a shoestring budget: it's about proving that as well as not deserving to win as much as they do, casinos do not have to win as much as they do. The Math repeatedly proves that point.


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An important reminder: The only person likely to make money out of this blog is you, Dear Reader. There's nothing to buy, ever, and your soul is safe (from me, at least). Test my ideas and use them or don't. It's up to you.
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Thursday, March 26, 2009

The YCW (you can't win) Brigade will tell you that if you can't be sure of winning, you should never attempt a betting strategy...

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...but if you don't have a plan, you are much more likely to lose.

It is plain to see who benefits most from the gambling attitude promoted by mythematicians, who go on to say: "You should think of gambling as entertainment, nothing more, and only bet what you can afford to lose."

My advice is fundamentally different: "Play to win, but don't play at all if you can't afford to win."

In other words, if a penny-ante bankroll is all you can muster (and there's no shame in that!) then you will probably be better off to trust to blind luck and hope that at worst, you break even.

Beating negative odds requires a bankroll large enough to keep you in the game through the inevitable rough spots when the house edge is temporarily far greater than standard negative expectation.

The latest batch of BST figures is not much different from its predecessors. It shows "the house" getting way ahead in terms of player losses vs. player wins, and as long as the 1-200 spread limit is applied, the result is another loss for the good guys (who don't work for the casino, let's be clear about that!).

Set target betting loose with an appropriate bankroll, and as before, we end up with an overall win with the total action (sessions A and B combined) greatly reduced. Also per prior experience, we see far more "big ticket" bets when the BST table limit is applied than without it.

So much for "conservative" play!

The BST results have been truly demoralizing lately, without target betting giving up a thin dime.

Here are the current "Batch #s 1-15 to date" numbers:-

Win Rate TD 100.0000%

ALL ahead +$1,715,420 = +5.17% of
$33,161,885 action
$25,000 max
$444 avg bet
$2,299 per hour
5.2 x avg bet


RISK (181,475) = 18.14% of bankroll
return 945%

EOS x 13,403 in 74,620 rounds
Avg EOS 5.6 rounds

AV/HA -5.28% (3,938) -5.28%
Expected ($1,750,087) per gross AV or (597) per net AV of -0.80%
TA/T 2.0 x expected result


+ MAX 12
- MIN -16
ABV $444
$1,000+ 3,536 4.74% of all bets

+ series 4,286 32%
0 series 4,153 31%
- series 4,964 37%
1-win EOS 8,737 65%

Most of the data are self-explanatory. Note that betting my way, big-ticket wagers were less than 5% of the total, and that the win to date represents better than a 5.0% "hold" of total action, against an overall house edge of between 0.8% and 5.28%, depending on the method of measurement.

Sometime soon, I will post average bet and $1,000+ data for a 1-200 spread for all 15 BST models, but it is safe to predict that action will be way up, the result will be an overall loss in line with negative expectation, and max bets will be in the majority, not a rare event at 1 in 20 or less.

I use a "net" number for the house edge (HA) or actual value (AV) which factors in doubles, splits and 3-2 payoffs for naturals. The old-fashioned way is to count hands as either won or lost: do that, and you end up with an HA that's more than SIX TIMES greater than my more inclusive approach.

As you can see, winning series (hey, they were ALL winning series) with more bets lost than won greatly outnumbered series with more wins than losses. Series that were negative or neutral still account for 68% of the total, so "expectation" demanded either a break-even or a loss in all those instances. Sorry, expectation.

The trial opened with a $1,000,000 bankroll almost 75,000 blackjack hands ago, and that has long since been covered by winnings, plus a 70% return on the investment which does not include $1,000,000 in profits left in the bankroll to take us through future downturns.

Maximum exposure for the initial bankroll was $181,475, or a little more than 18%.

I do not expect target betting to keep winning forever.

At some point, a win-loss pattern will be encountered that first pushes the strategy to its maximum bet, leaving it at the mercy of an ongoing negative surge that exceeds expectation for the game.

Then, the strategy will cease to be a strategy at all...it will have to wait out the surge and hope that sanity returns before the balance of the bankroll is swallowed up.

In the 300,000+ baccarat outcomes discussed in earlier blog posts, there was just one "crash and burn" and target betting came out way, way ahead in spite of it (see the archives or do a baccarat search).

The certainty is that winning sessions will always hugely outnumber losing sessions if you follow my rules.

The experts warn that the million-dollar bust could happen today or tomorrow, long before you have built up enough profits to avoid actual loss of your original buy-in.

But my way, probability is overwhelmingly on your side. Their way, it's against you every time you belly up to a blackjack table. The choice, of course, is yours!

The (nearly) 75,000 BST outcomes break down as follows:

(Click on the image to enlarge it)


Just for the fun of it, each of the target betting models also tracks results for two versions of the widely derided Martingale, the old-fashioned x2 kind (-5, -10, -20 etc.) and a more aggressive update which brings in more dough with a modified progression: -5, -10, -25, -50, -100, -250 etc.).

The YCW preachers scorn double-up as suicide, warning that "you will hit the table limit, and then what?"

"What," my friends (all of a sudden I'm John McCain?) is a move to a new location where the required NB is permitted. And if at some point you hit a house- or self-imposed green ceiling that can't be defied, then you keep on betting the max. The odds are very much in your favor that the WLP will stabilize and you will recover prior losses and then some.

Once again, I will say that I don't recommend double-up, not because it's a losing method, but because it is too easily spotted and casino pit staff will invariably interfere with its use.

I don't have double-up numbers for all 15 BST sessions yet, but here are the data for the current batch (#15). Notice that target betting is a more effective alternative.

(Click on the image to enlarge it)

Here are the newest BST numbers. I have to stop doing this. But maybe not quite yet?

(Click on the image to enlarge it)


The BST "table-limit" bets enormously outnumber max bets with target betting rules because in the current batch, a tight-spread punter would have been at the limit for the last 1,200 rounds. And since he's in the hole by more than $65,000, he is going to be betting the max until the cows come home.

An important reminder: The only person likely to make money out of this blog is you, Dear Reader. There's nothing to buy, ever, and your soul is safe (from me, at least). Test my ideas and use them or don't. It's up to you.
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