The example of Blaise Pascal, the famous French mathematician of 17th century, proves that gambling might be not so much a purpose as means. It can be an excellent exercise for mind, as in case with Pascal and another French mathematician - Fermat, who invented calculations, now known to us as theory of probabilities.

"Theory of probabilities was created when Pascal and Fermat started playing gambling games", stated one of their contemporaries.

These two scientists did sums on theory of probabilities by correspondence and the relevant material was obtained during their visits to the gambling house at leisure. Later this correspondence resulted in Pascal's treatise, "completely new composition on accidental combinations which govern the gambling games".

In his work Pascal almost completely casts out phantoms of luck and chance from gambling games, substituting them with cold statistic calculations based on the arithmetic mind. It's difficult for us to imagine what riot the invention made among the gamblers. We treat theory of probabilities as something trivial, though only specialists are sound on its details, but everyone understands its main principle. But in the times of the French mathematician, the minds of all gamblers were absorbed with such notions as "divine intent", "lap of Fortune" and other things that only enhance the obsession by the game adding extra mystical tones to the games. Pascal without any hesitation opposes his thesis to such attitude to the game "Fluctuations of happiness and luck subordinate to considerations based on fairness and which aim irrevocably to give every player what actually is owing to him".

In Pascal's hands mathematics became fabulous art of foreseeing. It is more than just amazing that unlike Galileo, the French scientist did not make numerous tiring experiments on multiple throwing dice that tool a great deal of time. In Pascal's opinion, the unique feature of the art of mathematic consideration compared to the common statistics is that it obtains its results not from the experiments but is based on "mind foreseeing", i.e. on intellectual definitions. As a result" preciseness of mathematics is combined with uncertainty of chance. Our method borrows its awkward name - "mathematics of chance" from this ambiguity". Another curious name followed Pascal's invention - "method of mathematical expectation".

Staked money, wrote Pascal, no more belonged to gamester. However, losing nth sum of money, players also gain something in return, though most of them do not even guess it. In fact, it is something absolutely virtual, you cannot touch it neither put into your pocket and to notice it - the gambler should possess certain intellectual ability. We are talking about the acquired "right to expect regular gain a chance can give according to the initial terms - stakes".

Somebody will say that it is not so encouraging. However seeming dryness of this formulation ceases when you just pay your attention to word combination "regular gain". Expectation of gain turns out to be quite justified and fair. It's another matter that a more hot-tempered person is more likely to pay his attention to the word “chance” and "can give" (and consequently it might also be otherwise).

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