Lottery System
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Lottery System
Lottery wheeling (also known as lottery system, lottery wheel, lottery wheeling system) is an entertaining strategy of playing the lotteries, widely used by individual players and syndicates to secure wins provided they hit some of the drawn numbers. It allows playing with more than one ticket and more numbers than those drawn in the lottery. If the lottery is pick 6, then a wheeling system can be used in playing with 7 or more numbers. If the lottery is pick 5, then a wheeling system can be used in playing with 6 or more numbers. For example, in a pick 5 lottery, a lottery system can have 9 numbers and a guarantee of 3 if 3, meaning that the player will get a 3-win whenever three of his/her 9 numbers are among the five numbers drawn. In a pick 6 lottery, an example will be a system with, say, 12 numbers and a guarantee of 4 if 5, meaning that the player will get a 4-win whenever five of his/her 12 numbers are among the six numbers drawn. A lottery wheeling system acts as a single t ...
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Lottery
A lottery is a form of gambling that involves the drawing of numbers at random for a prize. Some governments outlaw lotteries, while others endorse it to the extent of organizing a national or state lottery. It is common to find some degree of regulation of lottery by governments. The most common regulation is prohibition of sale to minors, and vendors must be licensed to sell lottery tickets. Although lotteries were common in the United States and some other countries during the 19th century, by the beginning of the 20th century, most forms of gambling, including lotteries and sweepstakes, were illegal in the U.S. and most of Europe as well as many other countries. This remained so until well after World War II. In the 1960s, casinos and lotteries began to re-appear throughout the world as a means for governments to raise revenue without raising taxes. Lotteries come in many formats. For example, the prize can be a fixed amount of cash or goods. In this format, there is risk t ...
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Pick 6 (lottery)
{{unreferenced, date=September 2010 A six-number lottery game is a form of lottery in which six numbers are drawn from a larger pool (for example, 6 out of 44). Winning the top prize, usually a progressive jackpot, requires a player to match all six regular numbers drawn; the order in which they are drawn is irrelevant. Functionally, these games are similar to five-number games, except, because of the need to match a sixth number, the top-prize odds are longer. Therefore, six-number games generally offer a higher top prize. A straight six-number game is different from "two-drum" games such as Powerball, Cash4Life, Lucky for Life, and Mega Millions. While these games also draw six numbers, five are from one set, while a sixth is drawn from a second pool. These "5+1" games also require all six numbers to be matched for the top prize, but the use of a separate field for the last number lengthens the odds considerably. In a variant of the six-number game, such as Pennsylvania's ...
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Pick 5
The following is a list of lottery games(including the United States and Canada) in which five regular numbers are drawn from a larger set of numbers. The list includes the name, the number field for each, and the frequency of drawings. All pick-5 games in the U.S. and Canada are drawn multiple times per week(usually nightly, including Sundays and holidays); some lotteries now hold such drawings more than once a day. Most U.S. pick-5 games now have a progressive jackpot, even in games that are drawn daily; in unusual cases, a single ticket has won a cash prize in excess of $1 million cash. A common top prize in non-jackpot pick-5 games is $100,000(In the lists below, games with a jackpot do not have a minimum jackpot listed.). Depending on the game, a minimum of either two or three numbers(not counting a "bonus ball") must be matched for a winning ticket(A 2/5 match usually results in a free play for that game, or a "break-even" win; for the latter, the player wins back their s ...
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Set (mathematics)
A set is the mathematical model for a collection of different things; a set contains '' elements'' or ''members'', which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton. A set may have a finite number of elements or be an infinite set. Two sets are equal if they have precisely the same elements. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel set theory, has been the standard way to provide rigorous foundations for all branches of mathematics since the first half of the 20th century. History The concept of a set emerged in mathematics at the end of the 19th century. The German word for set, ''Menge'', was coined by Bernard Bolzano in his work ''Paradoxes of the Infinite''. Georg Cantor, one of the founders of set theory, gave the following defin ...
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Lottery
A lottery is a form of gambling that involves the drawing of numbers at random for a prize. Some governments outlaw lotteries, while others endorse it to the extent of organizing a national or state lottery. It is common to find some degree of regulation of lottery by governments. The most common regulation is prohibition of sale to minors, and vendors must be licensed to sell lottery tickets. Although lotteries were common in the United States and some other countries during the 19th century, by the beginning of the 20th century, most forms of gambling, including lotteries and sweepstakes, were illegal in the U.S. and most of Europe as well as many other countries. This remained so until well after World War II. In the 1960s, casinos and lotteries began to re-appear throughout the world as a means for governments to raise revenue without raising taxes. Lotteries come in many formats. For example, the prize can be a fixed amount of cash or goods. In this format, there is risk t ...
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Periodic Sequence
In mathematics, a periodic sequence (sometimes called a cycle) is a sequence for which the same terms are repeated over and over: :''a''1, ''a''2, ..., ''a''''p'',  ''a''1, ''a''2, ..., ''a''''p'',  ''a''1, ''a''2, ..., ''a''''p'', ... The number ''p'' of repeated terms is called the period (period). Definition A (purely) periodic sequence (with period ''p''), or a ''p-''periodic sequence, is a sequence ''a''1, ''a''2, ''a''3, ... satisfying :''a''''n''+''p'' = ''a''''n'' for all values of ''n''. If a sequence is regarded as a function whose domain is the set of natural numbers, then a periodic sequence is simply a special type of periodic function. The smallest ''p'' for which a periodic sequence is ''p''-periodic is called its least period or exact period. Examples Every constant function is 1-periodic. The sequence 1,2,1,2,1,2\dots is periodic with least period 2. The sequence of digits in the decimal expansion of 1/7 is periodic with period 6: :\fr ...
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Combinations
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange. More formally, a ''k''-combination of a set ''S'' is a subset of ''k'' distinct elements of ''S''. So, two combinations are identical if and only if each combination has the same members. (The arrangement of the members in each set does not matter.) If the set has ''n'' elements, the number of ''k''-combinations, denoted as C^n_k, is equal to the binomial coefficient \binom nk = \frac, which can be written using factorials as \textstyle\frac whenever k\leq n, and which is zero when k>n. This formula can be derived from the fact that each ''k''-combination of a set ''S'' of ''n'' members has k! permutations so ...
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Combinatorial Design
Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of ''balance'' and/or ''symmetry''. These concepts are not made precise so that a wide range of objects can be thought of as being under the same umbrella. At times this might involve the numerical sizes of set intersections as in block designs, while at other times it could involve the spatial arrangement of entries in an array as in sudoku grids. Combinatorial design theory can be applied to the area of design of experiments. Some of the basic theory of combinatorial designs originated in the statistician Ronald Fisher's work on the design of biological experiments. Modern applications are also found in a wide gamut of areas including finite geometry, tournament scheduling, lotteries, mathematical chemistry, mathematical biology, algorithm design and analysis, networking, g ...
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Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ...
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Odds
Odds provide a measure of the likelihood of a particular outcome. They are calculated as the ratio of the number of events that produce that outcome to the number that do not. Odds are commonly used in gambling and statistics. Odds also have a simple relation with probability: the odds of an outcome are the ratio of the probability that the outcome occurs to the probability that the outcome does not occur. In mathematical terms, where p is the probability of the outcome: :\text = \frac where 1-p is the probability that the outcome does not occur. Odds can be demonstrated by examining rolling a six-sided die. The odds of rolling a 6 is 1:5. This is because there is 1 event (rolling a 6) that produces the specified outcome of "rolling a 6", and 5 events that do not (rolling a 1,2,3,4 or 5). The odds of rolling either a 5 or 6 is 2:4. This is because there are 2 events (rolling a 5 or 6) that produce the specified outcome of "rolling either a 5 or 6", and 4 events that do n ...
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Mega Millions
Mega Millions (originally known as ''The Big Game'' in 1996 and renamed, temporarily, to ''The Big Game Mega Millions'' six years later) is an American multi-jurisdictional lottery game; as of January 30, 2020, it is offered in 45 states, the District of Columbia, and the U.S. Virgin Islands. The first ''(The Big Game) Mega Millions'' drawing was in 2002. What is now Mega Millions initially was offered in six states; the logo for all versions of the game following the retirement of ''The Big Game'' name featured a gold-colored ball with six stars to represent the game's initial membership, although some lotteries insert their respective logo in the ball. Mega Millions is drawn at 11 p.m. Eastern Time on Tuesday and Friday evenings, including holidays. Mega Millions is administered by a consortium of its 12 original lotteries; the drawings are held at the studios of WSB-TV in Atlanta, Georgia, supervised by the Georgia Lottery. The hosts are John Crow, Carol Blackmon and Adri ...
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Wisconsin Lottery
The Wisconsin Lottery is run by the Wisconsin Department of Revenue and was authorized in 1988 by the state legislature. It is a member of the Multi-State Lottery Association (MUSL). Its games consist of Mega Millions, Powerball, Megabucks, Supercash!, Badger 5, Pick 3, Pick 4, All or Nothing, and scratch games. Since its founding, it has generated $4.6 billion for property tax relief for state residents. The minimum age to buy Wisconsin Lottery tickets is 18. Televised history The Money Game Until 2003, a game show produced by the Wisconsin Lottery and Hearst-Argyle Television, called ''Wisconsin Lottery Money Game'', was aired weekly on the Lottery's network of stations. Contestants won a chance to play the game (and $100) if a scratch ticket contained three "TV" symbols; if not chosen for the main game, would win at least $500 from a pool of money split between them and the other 54 players not chosen. Five contestants would play the game, consisting of four or five ...
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