Casino players who play online know that these casinos provide a variety of bonuses. "Free-load" looks appealing, but do they actually provide these bonuses? Are they lucrative for gamblers Answering this question will depend on a variety of factors. This question can be answered using math.


Let's start with a normal bonus on deposit. The deposit is $100, and you get another $100. This is feasible after you stake 3000. This is an example of a bonus you receive on the first deposit. Although the size of a deposit or bonus may vary, so can the stake rates. However, one thing is certain: the bonus can be taken out after the wagering requirement. It generally is not possible to withdraw money.

If you plan to play at the online casino for a long time and rather insistently the bonus can help 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 complications. In particular, if your goal is simply to take an overview of the casino, without spending too much time there, or you are a fan of roulette or any other games that are not permitted by the bonus rules, then you might be denied access to the bonus. In most casinos, you will not be able to withdraw funds or simply return a deposit, when a wager isn't made on the games allowed in the casino. If you are keen on blackjack or roulette, and you can returned only through playing slot machines, you must make the required $3000 of stakes, in the course of the 95% payouts, you'll lose $3000*(1-0,95)=$150. In other words, you are not just losing the bonus but also take out of your wallet $50. In the case of this, it's better to decline the bonus. In any case, if blackjack and poker can be used to claim back the bonus, with a casino's profits of just 0,5%, then it is possible that once you have repaid the bonus, you'll be left with $100-$3000 plus 0,005 = $85 from the casino's profit.
"sticky" or "phantom" benefits:

The popularity of casinos is due to "sticky" or "phantom" bonuses, which are similar to lucky chips in real casinos. The amount of bonus cannot be withdrawn and must stay in the account (as if it "has been glued" to it), until it is completely lost, or annulled on the first withdrawal of cash means (disappears like it's a phantom). It may appear that such bonuses are not worthwhile. website isn't possible to take any money out, but this is not true. The bonus won't be worth the cost if you win. However, if you lose, it could be beneficial. Already, you've lost $100, without a bonus. With a bonus, even if it's one that is "sticky" one, $100 are still on your account, which can assist you in getting out of the circumstance. The probability of winning the bonus is just half (for this, you'll only have to put the full amount on 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 sure if you only stake tiny amounts. The negative math expectation of the game means you'll never receive 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. It is suggested to set the desired amount you wish to gain, for example $200, and attempt to win it by taking risks. 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).

The cash back bonus:

There is a seldom encountered variant of a bonus, specifically, the return of a lost deposit. Two types of bonuses could be distinguished from the total refund of deposit. At this point the cash is typically returned as an normal bonus. Also, a partial return (10-25 percent) for a set period (a month or a week). In the first case the scenario is similar as with the "sticky" bonus - if we win, there's no need for the bonus, however, it is helpful in the event loss. Calculations in math will also be identical to the "sticky" bonus, and the strategy of the game is similar - we risk and try to win as many times as we can. We can still play with the money you've earned even if we do not succeed. Casinos with games offer some kind of compensation for losses to gamblers who have a high level of activity. If you play blackjack with math expectancy of 0,5%, when you stake your stakes on $10 000, you will lose on average $50. The payout is $10 if you lose 20 dollars. This is the equivalent of the math expectancy increase of 0.4%. But, the bonus you will also get from the fact that you will need to be playing less. There is only one bet, but a high stake, like $100, using the same bets on roulette. The majority of the cases we again win $100, and 51% of the time we lose $100, but at the end of the month 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 has a positive mathematical probability. But, the dispersion is large and we will only be able play in this way for a few times each week or every month.

I'll allow myself to make a brief remark, but slight deviation from the main subject. One forum member declared that tournaments weren't fair. He claimed, "No normal person will ever put a stake in in the last 10 minutes." The amount is 3,5 times the amount of prize ($100) in the case of maximum losing, so it's impossible to lose. What's the issue?"

What is the sense? This situation is similar to the one with loss of money. If a stake has won the stake is already in the black. We'll receive a tournament prize 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'll win $350 tomorrow and, over the course of a year playing each day, we'll build up $16,000. It's clear that stakes of up to $1900 could be profitable for us after solving a simple equation. We need to have many thousands of dollars in our accounts to play this game, however we can't blame the casinos for being untruthful or inexperienced.

Let's get back to our bonuses. These are the highest "free-loading" bonuses without any deposit. You've seen an increase in ads offering $500 for free, without deposit. You can get $500 on an account that is unique, and only a certain amount of time to play (usually an hour). The only thing you will get is the winnings after an hour, but not over $500. best games must win the bonus back on a real account. Usually, you have run it 20 times in slot machines. The $500 bonus sounds tempting however, what is the actual value of the reward? The first part is that you need to win $500. We can determine that the chance of winning $500 is 50% based on an easy formula. But in reality, it's much less. If you want to get the bonus back, you need to stake at least $10 000 on slots. We don't know the rates of pay-outs from slots, however, they are published by casinos and average about 95 percent (for various kinds they fluctuate about 90-98%). If we get at an average slot till the end of the bet, we'll have $500-10 000*0.05=$0 on our account, not a bad game... It is possible to expect $500-10 000*0.02=$300 in the event that we are lucky enough to locate a high-paying slot. Although the chance to pick a slot that has payouts that are high is 50 percent (you have listened to the opinions of other gamblers since by random choice this probability will be less than 10-20% since there are few generous slots) In this instance, the value of a huge deposit bonus is $300*0,5*0.5%=$75. Although it is less than $500, this is still an impressive amount. However, we can observe that the bonus's total value has dropped sevenfold even with the best estimates.

I'm sure this trip into the mathematics of bonuses will be helpful to gamblers . If you're looking to be successful, you only have to think about it and make calculations.