One can often hear that the best piece of advice given by a mathematician to a lover of online casino games is an assertion which lies in the fact that the best strategy in casino games is complete abstention from participation in them. A lot of mathematicians consider that the most which the theory of probability and the theory of casino games can give an online gambler are the strategies following which he won't lose too much. There are various types of bonuses available at the different online casino sites which often lead to misunderstandings, confusion and unnecessary stress if you do not understand what they are. The wonders of mathematics can achieve more than just building spaceships and engineering bridges. They can also help you win vast sums of money and permanently put you ahead at online casino.

If you transfer $100 and get $100 more, which it will be possible to get having staked $3000. It is a typical example of casino bonuses 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 bet. 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 online 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, let's say, if you simply want to have a look at online casino, without playing for a long time, if you prefer roulette or other casino games, forbidden by casino’ rules for winning back bonuses.

In the several online casino sites you won’t be allowed to withdraw money or will simply return a deposit, if your bet 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 online casino's money.

How to Calculate Your Average Expected Winnings

There's a really easy formula that will show you what your expected winnings or losses will be. Of course, hearing the word formula is usually enough to cause flashbacks to the horrors of high-school math class, but let me assure you, this one is as easy as pie.

Basically, it goes as follows:

Your Average Bet

x Hours Played

x Speed of the Game (meaning the number of decisions per hour)

x House Edge

= Expected Win/Loss.

For Example:

When you played roulette at $10 a hand which is your average bet for one hour using a basic strategy accumulated to 80 decisions per hour - speed of game at a 0.005% disadvantage, your expected win/loss amount would be $4.

If $10 average bet x 80 decisions per hour x 1 hour x .005 house edge = $4. This formula can be used with any game you like, but like everything else in the world, it follows the basic principle of the universe: that nothing's perfect.