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Gambling Mathematics
Experiments, events and probability spaces The technical processes of a game stand for experiments that generate aleatory events. Here are a few examples: * Throwing the dice in craps is an experiment that generates events such as occurrences of certain numbers on the dice, obtaining a certain sum of the shown numbers, and obtaining numbers with certain properties (less than a specific number, higher than a specific number, even, uneven, and so on). The sample space of such an experiment is for rolling one die or for rolling two dice. The latter is a set of ordered pairs and counts 6 x 6 = 36 elements. The events can be identified with sets, namely parts of the sample space. For example, the event ''occurrence of an even number'' is represented by the following set in the experiment of rolling one die: . * Spinning the roulette wheel is an experiment whose generated events could be the occurrence of a certain number, of a certain color or a certain property of the numbers (low, high ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aleatory
Aleatoricism or aleatorism, the noun associated with the adjectival aleatory and aleatoric, is a term popularised by the musical composer Pierre Boulez, but also Witold Lutosławski and Franco Evangelisti, for compositions resulting from "actions made by chance", with its etymology deriving from ''alea'', Latin for " dice". It now applies more broadly to art created as a result of such a chance-determined process. The term was first used "in the context of electro-acoustics and information theory" to describe "a course of sound events that is determined in its framework and flexible in detail", by Belgian-German physicist, acoustician, and information theorist Werner Meyer-Eppler. Werner Meyer-Eppler (1955) "Statistische und psychologische Klangprobleme," Elektronische Musik, '' Die Reihe'' I ( Herbert Eimert, ed.) Vienna, p. 22. English translation: Werner Meyer-Eppler (1957) "Statistic and Psychologic Problems of Sound" (Alexander Goehr, transl.). Electronic Music, ''Die Reihe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vigorish
Vigorish (also known as ''juice'', ''under-juice'', the ''cut'', the ''take'', the ''margin'', the ''house edge'' or simply the ''vig'') is the fee charged by a bookmaker (or ''bookie'') for accepting a gambler's wager. In American English, it can also refer to the interest owed a loanshark in consideration for credit. The term came to English usage via Yiddish slang ( yi, וויגריש, translit=vigrish, translit-std=ISO, italic=unset), which was itself a loanword from Ukrainian ( uk, ви́граш, translit=výhraš, translit-std=ISO, lit= winnings, profit, italic=unset) or Russian (russian: вы́игрыш, translit=výigryš, translit-std=ISO, lit=gain, winnings, italic=unset). As a business practice it is an example of risk management; by doing so bookmakers can guarantee turning a profit regardless of the underlying event's outcome. As a rule, bookmakers do not want to have a financial interest creating a preference for one result over another in any given sporting ev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Online Bingo
Online bingo is the game of bingo ( US, UK) played on the Internet and its estimated launch was in 1996. It is estimated that the global gross gaming yield of bingo (excluding the United States) was US$500 million in 2006, and it is forecasted to grow to $1 billion by 2010. Unlike balls used in regular bingo halls, online bingo sites use a random number generator. Most bingo halls also offer links to online poker and casino offerings as the patrons are often in the target market. One notable feature of online bingo is the chat functionality. Bingo sites strive to foster a sense of community and interaction between players as this helps customer retention. History One of the earliest known online bingo games, launched in 1996, was a free bingo game called "Bingo Zone". To play, members had to provide demographic information; in turn, members would receive targeted ads based on the demographics provided. Another early pioneer for free online bingo was Uproar, which launched Bing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Slot Machine
A slot machine (American English), fruit machine (British English) or poker machine (Australian English and New Zealand English) is a gambling machine that creates a game of chance for its customers. Slot machines are also known pejoratively as one-armed bandits because of the large mechanical levers affixed to the sides of early mechanical machines and the games' ability to empty players' pockets and wallets as thieves would. A slot machine's standard layout features a screen displaying three or more reels that "spin" when the game is activated. Some modern slot machines still include a lever as a skeuomorphic design trait to trigger play. However, the mechanics of early machines have been superseded by random number generators, and most are now operated using buttons and touchscreens. Slot machines include one or more currency detectors that validate the form of payment, whether coin, cash, voucher, or token. The machine pays out according to the pattern of symbols display ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Three Sigma Rule
3 is a number, numeral, and glyph. 3, three, or III may also refer to: * AD 3, the third year of the AD era * 3 BC, the third year before the AD era * March, the third month Books * '' Three of Them'' (Russian: ', literally, "three"), a 1901 novel by Maksim Gorky * ''Three'', a 1946 novel by William Sansom * ''Three'', a 1970 novel by Sylvia Ashton-Warner * ''Three'' (novel), a 2003 suspense novel by Ted Dekker * ''Three'' (comics), a graphic novel by Kieron Gillen. * ''3'', a 2004 novel by Julie Hilden * ''Three'', a collection of three plays by Lillian Hellman * ''Three By Flannery O'Connor'', collection Flannery O'Connor bibliography Brands * 3 (telecommunications), a global telecommunications brand ** 3Arena, indoor amphitheatre in Ireland operating with the "3" brand ** 3 Hong Kong, telecommunications company operating in Hong Kong ** Three Australia, Australian telecommunications company ** Three Ireland, Irish telecommunications company ** Three UK, Briti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Distribution
In statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is : f(x) = \frac e^ The parameter \mu is the mean or expectation of the distribution (and also its median and mode), while the parameter \sigma is its standard deviation. The variance of the distribution is \sigma^2. A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable—whose distribution converges to a normal d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binomial Distribution
In probability theory and statistics, the binomial distribution with parameters ''n'' and ''p'' is the discrete probability distribution of the number of successes in a sequence of ''n'' independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: ''success'' (with probability ''p'') or ''failure'' (with probability q=1-p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., ''n'' = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance. The binomial distribution is frequently used to model the number of successes in a sample of size ''n'' drawn with replacement from a population of size ''N''. If the sampling is carried out without replacement, the draws are not independent and so the resulting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Standard Deviation
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. Standard deviation may be abbreviated SD, and is most commonly represented in mathematical texts and equations by the lower case Greek letter σ (sigma), for the population standard deviation, or the Latin letter '' s'', for the sample standard deviation. The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same unit as the data. The standard deviation of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Return To Player
Return may refer to: In business, economics, and finance * Return on investment (ROI), the financial gain after an expense. * Rate of return, the financial term for the profit or loss derived from an investment * Tax return, a blank document or template supplied by a government for use in the reporting of tax information * Product return, the process of bringing back merchandise to a retailer for a refund or exchange * Returns (economics), the benefit distributed to the owner of a factor of production * Abnormal return, denoting the difference in behaviour between one stock and the overall stock market * Taxes, where tax returns are forms submitted to taxation authorities In technology * Return (architecture), the receding edge of a flat face * Carriage return, a key on an alphanumeric keyboard commonly equated with the "enter" key * Return statement, a computer programming statement that ends a subroutine and resumes execution where the subroutine was called * Return code, a me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shuffle Tracking
Shuffle tracking is an advantage gambling technique where a player tracks certain cards or sequences of cards through a series of shuffles. Shuffle tracking is typically done in blackjack games, although it can be done in other card games. Games with simple shuffles are generally easier to shuffle track than games with complicated shuffles. Thus, shuffle tracking is usually done in 6 or 8 deck shoe-dealt blackjack games, as these tend to have simpler shuffles compared to pitch games, due to the time required to accomplish a complicated shuffle on 6 or 8 decks of cards. Shuffle tracking Shuffle tracking is an advanced technique used with card counting. Jerry Patterson published information about the technique in the 1970s and 1980s. Generally, a player tracks the count (high cards versus low cards) of one or more subsections of the deck as the cards are played. The selected sections may or may not be predetermined by observing and mapping the shuffle. These sections are referre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Card Counting
Card counting is a blackjack strategy used to determine whether the player or the dealer has an advantage on the next hand. Card counters are advantage players who try to overcome the casino house edge by keeping a running count of high and low valued cards dealt. They generally bet more when they have an advantage and less when the dealer has an advantage. They also change playing decisions based on the composition of the deck. Basics Card counting is based on statistical evidence that high cards ( aces, 10s, and 9s) benefit the player, while low cards, (2s, 3s, 4s, 5s, 6s, and 7s) benefit the dealer. High cards benefit the player in the following ways: # They increase the player's probability of hitting a natural, which often pays out at 3 to 2 odds. # Doubling down increases expected value. The elevated ratio of tens and aces improves the probability that doubling down will succeed.Thorp (1966), pp. 24–27, pp. 41–47, pp. 98–99, pp. 102–103, p. 110, p. 115. # They p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pontoon (game)
Pontoon, formerly called Vingt-Un, is a card game of the banking family for three to ten players and the "British domestic version of Twenty-One," a game first recorded in 17th-century Spain, but which spread to France, Germany and Britain in the late 18th century, and America during the early 19th century. It is neither a variant of nor derived from Blackjack. Both are descended from the early British version of ''Vingt-Un''. In Britain, it first became known as Pontoon during the First World War, the name apparently being a soldier's corruption of its former French name. The game has no official rules and varies widely from place to place. It is a popular family game, but also widely played by children, students, and members of the armed forces. In 1981, Pontoon was the third most popular card game in Britain after Rummy and Whist. It has been described as "an amusing round game and one which anyone can learn in a few minutes." History Vingt-Un is first recorded in the second ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
