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Casino players online are aware that these bonuses are offered at many casinos. "Free-load" looks appealing, but are they really worth are they really worth it? Are they profitable for gamblers? Answering this question depends on a variety of factors. This question can be answered with mathematics.Let's begin with the typical bonus for deposits. You deposit $100 and get $100 more. This is feasible after you stake 3000. It is an example of a bonus you receive on the first deposit. Although the size of a bonus or deposit can vary, so can the stake rates. But http://www.americas-forum.com/opinion/ezequiel-vazquez-ger/ is sure: the bonus can be taken out after the wagering requirement has been met. As a rule, it is not possible to withdraw money.The bonus is free money if you gamble online for a prolonged period of time and are persistent. 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. However, there are some issues to be aware of such as if you just want to take a look at a casino, without playing for a long time and you are a fan of roulette or other games, forbidden by casinos' rules to win back bonuses. In most casinos you won't be allowed to withdraw cash or just return your deposit in the event that a bet isn't placed on the games that are allowed in the casino. Bonuses can be won when playing roulette or blackjack however, only if make the required 3000 stakes. If you're lucky enough to win 95% of all payouts, you'll lose an average of $3000* (1-0,95) which is $150. You lose $50 and also lose the bonus. In this scenario it's better not to take the bonus. If poker or blackjack could win back the bonus with a casino profits of 0.5 percent, it's possible to expect that you will get $100-3000*0,005=$85 after you've redeemed the bonus."Sticky" as well as "phantom” bonuses<img width="300" src="">The popularity of casinos is gained by "sticky" or "phantom" bonuses - the equivalent of luck chips in real casinos. The bonus amount cannot be taken out and must stay on the account (as as if it "has stuck" to it), until it is entirely lost or is canceled on the first withdrawal of cash (disappears as if it were it's a phantom). It may appear that such a bonus is not worth the effort. It isn't possible to take any money out, but this is not true. The bonus won't be worth it if you win. If you fail, the bonus might be useful. Already, you've lost $100, without a bonus. Even if the bonus is not "sticky" the $100 will still be in your account. This could help to get from this mess. There is a chance to win back the bonus in this case is around 50% (for you will only have to put the whole 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". It is possible to lose slowly but certainly if you play with small amounts. The negative math expectancy of games means that you'll never receive any bonus. 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 would like to gain, such as $200, and then take the risk to win it. 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:There is a seldom encountered variant of a bonus, which is the return of lost. There can be singled out two variants - the complete return of the lost deposit and the money usually is to be won back like with an ordinary bonus or a part return (10-25%) of the losing during the specified time (a week or a month). In the first case the situation is practically identical to that of a "sticky" bonus - if you win, there's no reason to get the bonus, however it is helpful in the event of losing. Calculations in math will also be identical to "sticky" bonus, and the game's strategy is the same - we take risks trying to win as much as we can. You can gamble with the money you've earned even if we don't succeed. The partial refund of losses gambler could be seen as a minor benefit of casinos in games. If you gamble on blackjack using the math expectation of 0,5%,, having made stakes on $10,000, you'll lose an average of $50. You'll get back $10 when you lose 20 dollars. This is equal to the math expectancy rise of 0.4 percent. You can still derive benefits from the bonus but you'll have to play less. We make only one but a high stake, for example $100, using the same bets on roulette. In 49% of cases we also win $100 and 51% of the time we lose $100, but at the time the month is over, we win back 20%, which is 20 dollars. As a result the effect is $100*0,49-($100-$20)*0,51=$8,2. As you see, the stake is then positive in math expectancy, but its dispersion is huge, since we'll be able to play in this manner very rarely - every week, or once per month.I'd like to make a brief remark. I'm a little off-topic. One forum member claimed that tournaments weren't fair. He said, "No normal person will ever put a stake in within the last 10 minutes." The 3,5-fold increase is more than the amount of prize ($100) in the case of maximum loss, meaning as not to lose. What's the reason?And really does it make sense? It's identical to the scenario that has a return on losing. We're in the black when a stake is taken home. If it loses - we'll get a tournament prize of $100. So, the math expectancy of the above-mentioned stake amounting to $350 is: $350*0,49-($350-$100)*0,51=$44. Yes, we may lose $250 today, but be able to win $350 next day, and over a year playing every day, we'll earn $16,000. If we can solve a basic equation, we'll find out that stakes of up to $1900 can be profitable for us! It is essential to have several thousand dollars on our accounts for this game, however we can't blame the casinos for being shady or naive.Let's revisit our bonus offers, especially the highest "free-load" ones- without any deposit. There are more and more ads promising $500 at no cost with no deposit. The basic idea is as follows you actually get $500 when you sign up for a specific account with a time limit for playing (usually an hour). The only thing you will get is the amount you win after an hour, but not more than $500. The bonus must be redeemed back in a real bank account. In most cases, you've played it at least 20 times on slot machines. It sounds great, but what's the actual value of this bonus? The first aspect is that you need to get $500. http://www.americas-forum.com/ can see that the probability of winning $500 is 50% using the simplified formula. However, in practice it's much less. To get the bonus back it is necessary to bet $10 000 on slots. The pay-out percentages of slot machines aren't well-known. They are generally around 95% and fluctuate between 90-98% for different types. If we get at an average slot, at the end of our bet, we'll have $500-10 000*0.05=$0 on our account, not an excellent game... If we happen to choose a slot with high pay-outs, we can look forward to $500-10 000*0,02=$300. The probability of choosing a slot with the highest payout is 50 percent. You've been influenced by the comments of other gamblers that the probability of winning will be between 10-20%. In this case, the generous deposit bonus of $300*0.5*0.5=$75. While it's less than $500, this is still an excellent amount. However, we are able to see that the bonus's final value has dropped sevenfold even with the best possible assumptions.I'm hoping that this journey into the maths of bonus will prove useful to gamblers . If you are looking to win, you just need to think a little and make calculations.