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"Risk" - was Re: Canada/US Dollar Exchange--How much (if any) of an advantage pla

In the post below, certainly variance is a source of risk, although a predictable one and I would agree that player error is also a risk, although likely much less predictable. And in that sense, overbetting your bankroll is another form of player error, so I guess that can be a risk as well, depending on how you want to use the term.

What I'm getting at is whether "risk" is always the correct term here, since some of the "risks" named are not really "risks" as such, but are consciously made incorrect decisions, or are known variables, which I suppose may technically be "risks" in the broadest sense of the word - but in fact some of them are more "variables" or just plain mistakes, or a conscious decision to do something that one does (or should) know is not correct.

Therefore, technically, I would maintain that the first player error referred to is making an incorrect decision on what to hold, either due to not seeing the hand correctly or due to playing too quickly or hitting a wrong button followed by "draw" before noticing the mistake, or distraction -- and that this source of error is sometimes undetected, even after it occurs, unless you happen to spot it before the draw completes, in which case it is detected, but too late to correct it - so that could be considered a "risk" - in this case, a risk you know is there, but the degree of which likely can't be known, and certainly not in advance.

However, I would maintain that the second source of player error, overbetting your bankroll, is an "error" only if done out of ignorance (and in that case, is the same as a "what to hold" error due to incorrect knowledge of the correct strategy), and only in that case would it be an error of which one is unaware. Usually, if you understand the idea of bet sizing at all, you do not overbet your bankroll as an "error", but as a conscious albeit incorrect decision, and that's just as bad as purposely making an incorrect play because of a "hunch". It is hardly a real "risk" although it is most certainly a variable that will affect outcome - but when done consciously, it is a completely controllable variable, and therefore is not really a "risk" as much as willful incorrect strategy.

Finally, not including tax considerations is actually not a "risk" either, in my opinion, but is instead a significant flaw in one's calculation of EV. Presumably, if one complies with the tax laws, tax considerations are such a substantial negative impact on EV for those not filing as a professional, as to make virtually every slot game, including video poker, a negative EV game after-taxes. Deciding to play the game if it's negative EV, with or without tax considerations, is not, in my mind, a "risk" as one more incorrect decision -- although one can (perhaps) justify such an incorrect decision by assigning an off-setting "value" to comps (tangible) and enjoyment of playing (intangible and totally subjective).

An additional "risk" that I WOULD consider to be an actual risk is that of running out of money on a given trip when one DOES have a positive EV with everything else considered. A negative swing that is not consistent with the expected positive EV can most certainly occur due to the element of chance, and if one doesn't have enough trip money, there is the risk of lost opportunity when one has to stop playing. Even if one has an unlimited source (or, more realistically, a sufficient Kelly bankroll overall with continuous bet size readjustment as dictated by Kelly) and can "re-stock" one's playing funds, there is a brief period of time when lost playing opportunity can occur while the ATM or cashier's cage is visited.

And of course, there is a risk that one will be barred from playing.

Finally, there is always a very small, but presumably real risk that the machine is rigged (or is malfunctioning) and will not return in accordance with the posted paytable.

I prefer to think of "risk" as applying to something where I don't know how much of a factor it is -- so that unintentional incorrect plays (mistakes) are certainly a risk, while decisions to do something incorrect is an intentional and predictable (in terms of its cost) incorrect decision.

--BG

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Don't forget to assess risk. One type of risk is caused by variance, probably the best tool for that is Dunbar's Risk Analyzer, the formula for 3sd is 3 x betsize x sqrt(variance x hands). Another type of risk is caused by player error, just assuming you will get the computer perfect EV in the casino environment is naive. Another type of risk is overbetting your bankroll, namely if your betsize is more than double your current bankroll x EV / variance you will get bankroll shrinkage even with a positive EV gamble. Another type of risk is not including tax considerations which can generate another fee which you weren't expecting.

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I mostly agree with BG but I would summarize as such:

Risk implies some degree of an unknown outcome.

Probabilistic events like gambling are the classic example of risk. Most gambling can be modeled as a Gaussian distribution, in which case 99.7% of the possible outcomes are contained within +/- 3SD, however there are still 0.3% of outliers, hence a degree of the unknown. Also, the Gaussian distribution is typically a model, so there can be some modeling error, but this can be fully known and hence the degree of modeling risk removed.

Player error, or more properly machine error, has a great degree of the unknown. You could be dealt a straight flush with the intention of holding it but one of the keys switches on you and you draw nothing or the spot light was right on one of the cards and you thought it was a different card, and so on. In the past, casinos would honor obvious errors, but this is rare today. It's well known in the industry that you don't shine spot lights at visual displays, so the use of spot lights in casinos can only be intentional. Likewise the effects of over 85db noise are well known, again this can only be intentional.

Overbetting your bankroll has a degree of the unknown because your demise is not absolutely known. You face a large risk, but you could just get lucky. You face a "risk of ruin", but it's just a risk, there is the unknown in there.

Taxes are commonly considered a risk, because there is very much the degree of the unknown. Tax rules are complex, particularly for gambling, your tax preparer does their best, but there could always be an audit, which might or might not go in your favor. Tax rules and interpretations can also be changed on the fly, you might or might not get grandfathered in, and so on.

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Don't forget, you could get hit by a bus on your way out of the casino... this could severely effect bankroll growth. https://www.youtube.com/watch?v=d4f0MVFji9g

C

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cmayhem2001 wrote: "Don't forget, you could get hit by a bus on your way out of the casino... this could severely effect bankroll growth."

Yes, very funny. Of course the difference is there's not much you can do about the chances of getting run over by a bus while there are things you can do to reduce gambling risk. Four areas were identified:

1. Variance

The solution to the variance problem is to know in advance what you're dealing with. Don't just make the assumption you will never run bad, most likely you will, certainly the more you play the greater your odds that you will have a bad run. Use Dunbar's Risk Analyzer. Or use 3 x betsize x sqrt(variance x hands) but don't count results whose cycle time is greater than the hand size sample you're looking at in your EV and variance calculations (i.e. discount the long shots).

2. Play errors

The solution is to keep records and use Bayesian analysis to determine your true EV in the casino environment, keeping in mind it will vary from machine to machine and casino to casino. Frank Kneeland was working on some software to do this but I think he gave up. Don't just assume that machines with the same paytable are alike, they most likely are not, your true EV will vary from machine to machine. Be wary of machines with spotlights on them, these are hard on the eyes and can cause errors you're not even aware of, sometimes polarized glasses or sticky notes help, but often the machine is unplayable, find another. Be wary of machines placed in loud locations, sometimes earplugs or noise cancelling headphones work, but often the machines are unplayable, find another. Intense lights and noise overload the brain and cause errors in judgement, this is well known and is even considered torture under some circumstances.

3. Overbetting bankroll

The main solution is the Kelly system, in a nutshell: If a betsize is more than your current bankroll times the total EV divided by the variance, don't do it, instead spend your time scouting for plays that fit your current bankroll or participate in the many casino "no play required" promotions.

4. Taxes

The solution is to look at taxes in advance, instead of as an afterthought when they are due. Read the books on gambling and taxes before you even bother with the books on just gambling. If you're starting from scratch, you need to play at least N0 hands (variance/edge/edge) in the current tax year to have a reasonable chance of avoiding the carry forward loss penalty. If you already have a win for the current tax year, you have a buffer, but if you currently are at a loss and the loss is only due to variance, you are looking at a potential tax problem.

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Yes, humor. A solution to the unknown unknowables.

C

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