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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems

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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems ( the-mathematics-lottery-odds-combinations-systems )

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prize). Even the English word lottery stems from the Dutch word loterij, which is derived from the Dutch noun lot meaning fate. The first known lottery in France was created by King Francis I in or around 1505. After that first attempt, lotteries were forbidden for two centuries. They reappeared at the end of the 17th century, as a “public lottery” for the Paris municipality. Lotteries then became one of the most important resources for religious congregations in the 18th century. In England, the first recorded official lottery was chartered by Queen Elizabeth I and drawn in 1569. This lottery was designed to raise money for public reparations within the Kingdom. The English State Lottery ran from 1694 until 1826. Many private lotteries were held as well. Lotteries in colonial America played a significant part in the financing of both private and public ventures. It has been recorded that more than two hundred lotteries were sanctioned between 1744 and 1776, contributing heavily toward financing roads, libraries, churches, colleges, canals, bridges, and other public and private endeavors. In the 1740s, Princeton and Columbia Universities had their beginnings financed by lotteries. Toward the end of the 19th century, a large majority of state constitutions banned lotteries; however, many have reappeared and developed since 1964. The popularity of this game comes not only from its history, but also from other technical and psychological elements related to its rules and progress. One important reason for the game’s popularity is its transparency. All of its components are visible: the urn from which the balls are drawn, the shuffling device, the numbers on the played ticket; there are no opponents to read their intentions, no dealer managing the game, and no strategies to influence the course of the game. Participants just choose the numbers to play, buy the ticket, and wait at home for the draw (which usually is broadcast in the media), this being a commodity that isn’t seen in casino games. The multitude of variations of the game at local, national, and international levels, due to various sets of rules, allows the players to choose a lottery matrix by either objective or subjective criteria. The complete freedom of choice manifests in the options to choose, combine, and play any number of simple or compound lines. 6

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