## Online Casinos. Mathematics of Bonuses.

﻿Online Casinos. Mathematics of Bonuses.

Online casino players know that the latter ones offer various casino bonuses. “Free-load” looks attractive, however, are they really useful these bonuses? Are they profitable for gamblers? The answer to this question depends on a lot of conditions. Mathematics will help us answer this question.

Let’s begin with an ordinary casino bonus on deposit: you transfer \$100 and obtain \$100 more, which it will be possible to get having staked \$3000. It is a typical example of casino bonus on the first deposit. The sizes of a deposit and bonus can be different, as well as the required stake rates, but one thing remains unchangeable – the amount of the casino bonus is accessible for withdrawal after the required wager. Till this moment it is impossible to withdraw money, as a rule.

If you are going to play in the online casino for a long time and rather insistently, this casino bonus will help you, it can really be considered free money. If you play casino 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 simply want to have a look at a casino, without playing for a long time, if you prefer roulette or other casino games, forbidden by casinos’ rules for winning back bonuses. In the majority of online casinos you won’t be allowed to withdraw money or will simply return a deposit, if a wager is not made on the games allowed in the online casino. If you are keen on roulette or blackjack, and a bonus can be won back only by playing slots, make the required \$3000 of stakes, in the course of 95% of pay-outs you will lose on average \$3000*(1-0,95)=\$150. As you see, you not only lose the casino bonus but also take out of your pocket \$50, in this case it is better to refuse the bonus. Anyway, if blackjack and poker are allowed for winning back the bonus with a casino’s profit only about 0,5%, so it can be expected that after winning back the bonus you will have \$100-3000*0,005=\$85 of the casino’s money.

The “sticky” or “phantom” bonuses: