Gambling and probability are an idea since long before the invention of poker. The evolution of probability theory in the late 1400s was attributed to betting; when playing a game with high stakes, players wanted to know what the chance of winning is. In 1494, Fra Luca Paccioli introduced his work Summa de arithmetica, geometria, proportioni e proportionalita that was the first written text on chance. Motivated by Paccioli’s work, Girolamo Cardano (1501-1576) made further improvements in probability theory. His work from 1550, titled Liber de Ludo Aleae, discussed the concepts of probability and how they had been directly related to gaming. However, his work didn’t receive any instant recognition since it was not released until after his death. Blaise Pascal (1623-1662) also contributed to probability theory. His friend, Chevalier de M??r??, was an avid gambler with the wish to become wealthy from it. De M??r?? attempted a new mathematical approach into a gaming game but didn’t get the desired benefits. Determined to know why his strategy was ineffective, he consulted with Pascal. Pascal’s work with this problem began an important correspondence between him and fellow mathematician Pierre de Fermat (1601-1665). Communication through letters, both continued to exchange their own ideas and ideas. These interactions resulted in basic probability theory’s conception. To this day, many gamblers nevertheless trust the basic notions of probability theory so as to make informed decisions while betting.
The next graph enumerates the (absolute) frequency of every hand, provided all combinations of 5 cards randomly drawn out of a complete deck of 52 without replacement. Cards aren’t considered. In this graph:
Distinct hands is the lot of different techniques to draw the hands, not counting different matches.
Frequency is the number of ways to draw the hand, such as the same card worth in suits.

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