## Poker probability

• Postado em 18 de julho, 2019

Probability and gambling have been an idea since before the creation of poker. The development of probability theory from the late 1400s was attributed to gambling; when playing a game with high stakes, players wished to know what the prospect of winning is. In 1494, Fra Luca Paccioli released his work Summa de arithmetica, geometria, proportioni e proportionalita which was the first written text on chance. Developed by Paccioli’s job, Girolamo Cardano (1501-1576) made additional improvements in probability theory. His job from 1550, titled Liber de Ludo Aleae, discussed the concepts of chance and the way they were directly related to gambling. As it wasn’t published until after his death, however, his work did not receive any immediate recognition. 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?? tried a new mathematical approach into a gambling game but didn’t get the desired results. Determined to understand why his approach was unsuccessful, he consulted with Pascal. Pascal’s work with this problem began an important correspondence between him and fellow mathematician Pierre de Fermat (1601-1665). Communicating through letters, the two continued to exchange their ideas and thoughts. These interactions led to the conception of probability theory. For this day, many gamblers nevertheless rely on the fundamental concepts of probability theory so as to make informed decisions while gambling.
The following chart enumerates the (absolute) frequency of each hand, provided all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. Cards are not considered. In this chart:
Different hands is that the lot of different ways to draw the hands, not counting different suits.
Frequency is the number of ways to draw the hand, including the card values in various suits.