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Casino players online are aware that bonuses can be found in a variety of casinos. Although "Free-load" may seem appealing, they're not worth the effort. Are they profitable for gamblers? Answering this question depends on a variety of factors. Mathematics will assist us in answering this question.Let's start with a normal bonus on deposit. You deposit $100 and get another $100. It is possible after you stake $3000. This is a common example of a bonus earned on your first deposit. The sizes of a deposit and bonus can be different in addition to the stake rate required However, one thing remains in place - the amount of the bonus is available for withdrawal following the wager requirement. As a rule, it is impossible to withdraw any money.This bonus can be considered as free money if you gamble online for a long duration 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)=$2000), after that the amount of bonus will be over. But there can be complications, for example, if you want to simply take an experience at a casino, without having to play for long, if you prefer roulette or other gamesthat are forbidden by casinos' rules to win back bonuses. If you aren't betting in any of the permitted games, casinos are unlikely to allow you to withdraw money. There is a chance to win a bonus when playing roulette or blackjack, but only if you make the required 3000 stakes. If you're lucky enough to win 95% of payouts that you'll lose an average of 3000$ (1-0,95) which is $150. As you see, you not only lose the bonus but will also be able to take from your account $50, in the case of this, it's better to not accept the bonus. If you will be able to recoup the bonus, with a profits of 0.5 percent, it's possible to expect that you'll get between $100 and $3000, which is equal to $85 after you've redeemed the bonus."sticky" or "phantom" benefits:Casinos are becoming more popular for "sticky" as well as "phantom bonuses. These bonuses are equivalent to the lucky chips found in a real casinos. It is not possible to cash out the bonus. The bonus amount must be placed on the account like it "has been shackled". It could appear that bonuses are not worthwhile. You will not be able to withdraw any money, however this is not true. If you are a winner, there's really no use in the bonus, but even if you lose it might help you. Without a bonus you have lost $100, and then you're gone. With a bonus, even if it's a "sticky" one, the $100 are still on your account. This can assist you in getting out of the circumstance. There is a chance to win back the bonus is around 50% (for it is only necessary to bet 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". You will lose slowly and sure if you only stake in small amounts. The negative math expectancy of the game means you'll never win 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. https://pigname90.doodlekit.com/blog/entry/18984813/the-way-to-find-the-top-free-games-online should set the amount you want to win, for instance $200, and be willing to take chances 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:The most common bonus noticed is the return of lost. There can be singled out two variants - the complete return of the deposit that was lost in which case the amount is usually paid back as with any other bonus or a part return (10-25 percent) of the loss during the specified time (a week or month). The first situation is the same as a "sticky bonus" The bonus is not worth it if you win, but helps when you lose. Math calculations will be also analogous to "sticky" bonus, and the strategy is the same: we take risks and try to win as many times as we can. If we do not win and lose the game, we can continue to play using the returned money, already taking the risk to a minimum. Partial return of the losing gambler could be seen as a minor benefit of casinos in games. If you play blackjack with the math expectation of 0,5%, after you have staked $10 000, you will lose on average $50. If you earn 20% of the money, the amount of $10 is returned to you, that is the loss you'll suffer is 40 dollars, which is comparable to the growth in the math expectation up to 0,4 percent (ME with return=theoretical ME the game (1percent of return). There is still a chance to benefit from the bonus, but you'll have to be playing less. On the same stakes as in roulette, we play one, however it's a large stake. We can win $100 in 49% of the cases however $100 is taken home by 51% of players. We have to lose $100 in 51% of cases. When we finish each month, we get back 20 percent of our winnings from $20. As a result the effect is $100*0,49-($100-$20)*0,51=$8,2. The stake has a positive math expectancy. But, the dispersion is large and we will only be able to play this way once every week or once a month.Allow me to provide a short remark. This is a bit off topic. In a forum about casinos, one of the gamblers began to claim that tournaments were not fair, arguing it as follows: "No normal person will ever make a single stake within the final 10 minutes of the event, which 3,5-fold surpasses the amount of prize ($100) as a result of a maximal losing, so that they can take home a prize. What's the reason?What is the sense? This situation is similar to the one with return on losing. If a stake is successful the stake is already in the black. If it has lost - we'll be awarded a prize in a tournament of $100. So, the math expectancy of the above-mentioned stake amounting to $350 is: $350*0,49-($350-$100)*0,51=$44. We could be losing $250 right now, however we be able to win $350 next day in the course of a year. playing every day, we'll build up 16 000 dollars. https://snakequail02.bravejournal.net/post/2021/11/18/The-Way-to-Own-the-Most-Fun-While-Playing-Online-Games 'll discover that stakes up to $1900 could be profitable for us if we solve an easy equation. We need to have several thousand dollars on our accounts for this kind of game, but we can't blame the casinos for being untruthful or inexperienced.<img width="352" src="">Let's get back to our bonuses. They're the top "free-loading" bonuses without any deposit. One has noticed more and more ads promising $500 at no cost with no deposit. You can get $500 on a special account, and only a certain amount of time to play (usually 1 hour). The only thing you will get is the amount of your win after an hour, but not over $500. You must win the bonus on a regular account. Usually, you have been able to play it for 20 times in slot machines. It sounds great however, what is the real value of the bonus? The first thing to consider is requires you to get $500. It is evident that the odds of winning $500 is 50% using a simplified formula. In reality, it's much less. If you want to get the bonus back You must bet at least $10 000 on slots. The pay-out rates in slot machines aren't well-known. They range from 95 to 95%, but can vary between 90-98 percent for various types. A typical slot can give us between $500 and 000*0.05=$0. It's not an unreasonable amount. If we're lucky enough to select a slot that has high pay-outs, we can await $500-10 000*0,02=$300. Even though the probability to choose a slot with payouts that are high is 50% (you have listened to the comments of other gamblers as randomly, this chance is less than 10-20%, as there are few generous slots) In this instance, the value of a generous deposit-free bonus amount to $300*0,5*0,5=$75. It's less than $500 but still not too bad, though we can observe that even with the most ideal assumptions, that the total value of the bonus been reduced by seven times.I hope, this excursion into the maths of bonus will prove helpful to gamblers - if you are looking to be successful, you only must think about it and make calculations.