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Online Casinos: The Mathematics of Bonuses
Casino players online are aware that these bonuses are available in many casinos. "Free-load" looks attractive, however, do they actually provide these bonuses? Are they profitable for gamblers? The answer to this question depends on many different factors. This question can be answered using math.

Let's begin with an ordinary bonus upon deposit: you make $100 and obtain $100 more that it is possible to get having put up $3000. It is a typical example of bonus on the first deposit. The amount of deposit and bonus can be different in addition to the stake requirements However, one thing remains unchangeable : the amount of the bonus is available for withdrawal following the wager requirement. It is currently impossible to withdraw money generally.

If you intend to play at the online casino for a lengthy time and rather insistently you are a player, this bonus could assist you. It can be considered as free money. If you play slots with 95% pay-outs, a bonus will allow you to make on average extra 2000 $ of stakes ($100/(1-0,95)=$2000), after that the amount of bonus will be over. There are some complexities. In particular If your intention is to just take a look at the casino, without spending too much time in there, or you enjoy roulette or other games that are not permitted under bonus rules, you could be denied access to the bonus amount. If you do not wager in any of the permitted games, most casinos won't allow withdrawals. There is a chance to win a bonus when you play roulette or blackjack however only if you have the required stakes of 3000. If you're lucky enough to win 95% payouts, you'll lose an average of 3000$ (1-0,95) equals $150. You will lose $50, and lose the bonus. In this case it's best not to take the bonus. If you could win back the bonus with a casino profits of 0.5%, it is possible that you'll get between $100 and $3000, which is equal to $85 after you've redeemed the bonus.
"Sticky" and "phantombonus

A growing amount of popularity in casinos is due to "sticky" or "phantom" bonuses, which are similar to lucky chips in real casinos. The bonus amount cannot be withdrawn the bonus, and it will remain in the account (as if it "has stuck" to it) until it's entirely lost or is canceled after the first time you withdraw cash means (disappears as if it were a phantom). It may at first appear as if there's no value in an offer - you'll never receive any money however this isn't accurate. If you win, then there's no reason in the bonus, but even if you lose it might be of use to you. Without a bonus you have lost your $100 and then you're gone. But with a bonus, even if it is an "sticky" one, the $100 are still in your account, which could help you worm out of the circumstance. The chance of winning back the bonus in this case is a bit less than 50% (for you will only have to stake the entire amount on the chances in roulette). In order to maximize profits from "sticky" bonuses one needs to use the strategy "play-an-all-or-nothing game". You'll lose slowly and certainly if you play with small amounts. The negative math expectancy of games means that you won't get any bonuses. Clever gamblers usually try to realize their bonuses quickly - somebody stakes the entire amount on chances, in the hope to double it (just imagine, you stake all $200 on chances, with a probability of 49% you'll win neat $200, with a probability of 51% you'll lose your $100 and $100 of the bonus, that is to say, a stake has positive math expectancy for you $200*0,49-$100*0,51=$47), some people use progressive strategies of Martingale type. Set the amount you wish to win, for instance $200, and then take the risk to be successful. If you have contributed a deposit in the amount of $100, obtained "sticky" $150 and plan to enlarge the sum on your account up to $500 (that is to win $250), then a probability to achieve your aim is (100+150)/500=50%, at this the desired real value of the bonus for you is (100+150)/500*(500-150)-100=$75 (you can substitute it for your own figures, but, please, take into account that the formulas are given for games with zero math expectancy, in real games the results will be lower).

Cash back Bonus:

It is not often seen variation of a bonus which is the return of lost. Two types of bonuses can be distinguished from the total refund of deposit. The deposit is generally returned just as an normal bonus. Or a partial return (10-25 percent) over a fixed period (a week or a month). In the first case the situation is practically identical to the case with a "sticky" bonus - if you win, there's no need for the bonus, but it is helpful in the event of losing. The "sticky bonus" calculation of math will be comparable. The method of play for the game is similar - we gamble and win as often as we can. We can still bet with the money that you've earned even if we fail to take home the prize. Casinos with games offer some kind of compensation for losses for active gamblers. You'll lose $50 on average if you play blackjack with an average math expectation of 0.5 percent. You will receive $10 back if you make a loss of 20 dollars. This is equivalent to the math expectancy rise of 0.4 percent. It is possible to still benefit from the bonus, however, you'll need to play less. We make only one but an extremely high stake, like $100, on the same stakes in roulette. The majority of cases we also win $100 and 51% - we lose $100, however at the time the month is over, we win back 20% which is equal to $20. As a result the effect is $100*0,49-($100-$20)*0,51=$8,2. The stake is positive in math expectancy. However, dispersion is high and we'll only be able play this way once per week or once per month.


Allow me to briefly address the issue. I am slightly off-topic. One of the forum members claimed that tournaments weren't fair. He said, "No normal person will ever put a stake in within the final 10 minutes." The 3,5-fold increase is more than the prize amount ($100) in the case of the maximum loss, so as not to lose. What is the point?"

And really does it make sense? The situation is quite similar to the one that involves losing a stake. We are in the black if the stake is taken home. We'll be awarded a prize in a tournament of $100 if the stake is lost. So, the math expectancy of the above-mentioned stake amounting to $350 is: $350*0,49-($350-$100)*0,51=$44. We could lose $250 today, but we will win $350 next day. Over a year of playing each day and earning a total of 365, our earnings are quite impressive at 365*$44=$16 000. It's clear that stakes up to $1900 could be profitable for us after solving an easy equation. We'll need thousands on our accounts for this game, but we don't have to blame casinos for being untruthful or inexperienced.

Let's come back to our bonuses, specifically the highest "free-load" ones- with no requirement for any deposit. Recently, one has been able to notice more and more advertisements promising up to $500 absolutely free of charge, with no deposit. The basic idea is as follows You actually receive $500 on a special account with a time limit for playing (usually an hour). You'll only receive the winnings after an hour, but not over $500. The bonus must be redeemed back on a real account. Usually, you have run it 20 times in slot machines. It sounds wonderful however, what is the real price of this bonus? The first thing to consider is that you have to get $500. By using a simple formula, we can see the odds of winning are 50 percent (in the real world, it's definitely lower). To win the bonus back, you must stake $10 000 on slots. The pay-out rates in slot machines aren't known. They average around 95% and fluctuate between 90-98 percent for various types. If we get at an average slot until the end of the bet, we'll have $500-10 000*0.05=$0 in our bank account, which is not an awful game... If we are lucky to pick a slot with large payouts, we can await $500-10 000*0,02=$300. Even though the probability to select a slot with high pay-outs is 50% (you are probably familiar with the opinions of other gamblers since the random selection of this probability will be less than 10-20%, for there are few generous slots) in this scenario, the value of a generous deposit-free bonus amount to $300*0,5*0.5%=$75. Although it is less than $500, this is still an excellent amount. However, we are able to find that the bonus's final value has decreased by sevenfold even with the best possible estimates.

https://hcraigbilly.webgarden.at/kategorien/hcraigbilly-s-blog/roulette-bandit 'm sure this trip into the mathematics of bonuses will be useful to gamblers . If you are looking to win, you just must think about it and do some calculations.

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