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Keno
Keno is a lottery-like gambling game often played at modern casinos, and also offered as a game in some lotteries. Players wager by choosing numbers ranging from 1 through (usually) 80. After all players make their wagers, 20 numbers (some variants draw fewer numbers) are drawn at random, either with a ball machine similar to ones used for lotteries and bingo, or with a random number generator. Each casino sets its own series of payouts, called "paytables". The player is paid based on how many numbers were chosen (either player selection, or the terminal picking the numbers), the number of matches out of those chosen, and the wager. There are a wide variety of keno paytables depending on the casino, usually with a larger " house edge" than other games, ranging from less than 4 percent to over 35 percent in online play, and 20-40% in in-person casinos. By way of comparison, the typical house edge for non-slot casino games is under 5%. History The word "keno" has French or ...
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Lotteries
A lottery (or lotto) 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 regulations are prohibition of sale to minors and licensing of ticket vendors. 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 to the org ...
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House Edge
A casino game is one in which players gamble cash or chips on various possible random outcomes or combinations of outcomes, often in a casino environment. Such games are also available in online casinos, where permitted by law. Casino games can also be played outside of casinos for entertainment purposes, like in parties or in school competitions, on machines that simulate gambling. Categories There are three general categories of casino games: gaming machines, table games, and random number games. Gaming machines, such as slot machines and pachinko, are usually played by one player at a time and do not require the involvement of casino employees. Tables games, such as blackjack or craps, involve one or more players who are competing against the house (the casino itself) rather than each other. Table games are usually conducted by casino employees known as croupiers or dealers. Random number games are based on the selection of random numbers, either from a computerized random n ...
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Lottery
A lottery (or lotto) 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 regulations are prohibition of sale to minors and licensing of ticket vendors. 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 to the org ...
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Pakapoo
Pakapoo (; sometimes spelt pak-ah-pu or Pák Kòp Piú) is a Chinese lottery game popular in Oceania in the 19th century, including on the Victorian Goldfields. A pakapoo ticket is bought, which contains rows of characters from the ''Thousand Character Classic The ''Thousand Character Classic'' (), also known as the ''Thousand Character Text'', is a Chinese poem that has been used as a primer for teaching Chinese characters to children from the sixth century onward. It contains exactly one thousand c ...'', an ancient poem in which no two words are repeated. The master ticket is kept hidden and is marked by the organiser of the game. The player marks a number of characters on their ticket. The ticket closest to the master ticket wins. A 1921 article in '' The Argus'' in Melbourne, Australia, described the game in detail: In Australian slang, "It looks like a Pakapoo ticket" is a reference to any writing that is messy or scrawled. References Lotteries Culture of New ...
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Bingo
Bingo or B-I-N-G-O may refer to: Arts and entertainment Gaming * Bingo, a game using a printed card of numbers ** Bingo (British version), a game using a printed card of 15 numbers on three lines; most commonly played in the UK and Ireland ** Bingo (American version), a game using a printed card of numbers in a five-by-five grid; most commonly played in the US and Canada * ''Bingo'' (card game), named by analogy to the game ''Bingo'' * Bingo (''Scrabble''), a term used in the game ''Scrabble'' in North America, for playing all seven of one's tiles Characters * Bingo, an ape character on the 1968–1970 television series ''The Banana Splits'' * Bingo "Bet-it-all" Beaver, one of the main characters from '' The Get Along Gang'' * Bingo Brown, the preteen protagonist of four novels by Betsy Byars * Bingo Little, a character in a number of books by comic author P. G. Wodehouse * Bingo Long, the title character of '' The Bingo Long Traveling All-Stars & Motor Kings'' (1976), a bas ...
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Factorial
In mathematics, the factorial of a non-negative denoted is the Product (mathematics), product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \times (n-3) \times \cdots \times 3 \times 2 \times 1 \\ &= n\times(n-1)!\\ \end For example, 5! = 5\times 4! = 5 \times 4 \times 3 \times 2 \times 1 = 120. The value of 0! is 1, according to the convention for an empty product. Factorials have been discovered in several ancient cultures, notably in Indian mathematics in the canonical works of Jain literature, and by Jewish mystics in the Talmudic book ''Sefer Yetzirah''. The factorial operation is encountered in many areas of mathematics, notably in combinatorics, where its most basic use counts the possible distinct sequences – the permutations – of n distinct objects: there In mathematical analysis, factorials are used in power series for the ex ...
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Hypergeometric Distribution
In probability theory and statistics, the hypergeometric distribution is a Probability distribution#Discrete probability distribution, discrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in n draws, ''without'' replacement, from a finite Statistical population, population of size N that contains exactly K objects with that feature, wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of k successes in n draws ''with'' replacement. Definitions Probability mass function The following conditions characterize the hypergeometric distribution: * The result of each draw (the elements of the population being sampled) can be classified into one of Binary variable, two mutually exclusive categories (e.g. Pass/Fail or Employed/Unemployed). * The probability of a success changes on each draw, as each draw decreases the population ...
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Quintillion
Depending on context (e.g. language, culture, region), some large numbers have names that allow for describing large quantities in a textual form; not mathematical. For very large values, the text is generally shorter than a decimal numeric representation although longer than scientific notation. Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-English-speaking areas, including continental Europe and Spanish-speaking countries in Latin America. These naming procedures are based on taking the number ''n'' occurring in 103''n''+3 (short scale) or 106''n'' (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix ''-illion''. Names of numbers above a trillion are rarely used in practice; such large numbers have practical usage primarily in th ...
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Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."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, . This number is often expressed as a percentage (%), ranging from 0% to 100%. 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 as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ...
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Bingo (British Version)
Bingo is a game of probability in which players mark off numbers on cards as the numbers are drawn randomly by a caller, the winner being the first person to mark off all their numbers. Bingo, previously known as Housey-Housey, became increasingly popular across the UK following the Betting and Gaming Act 1960 with more purpose-built bingo halls opened every year until 2005. Since 2005, bingo halls have seen a marked decline in revenues and many have closed. The number of bingo clubs in Britain dropped from nearly 600 in 2005 to under 400 in 2014. These closures have been blamed on high taxes, the smoking ban, and the rise in online gambling. Bingo played in the UK (90-ball bingo) is distinct from bingo played in the US ( 75-ball bingo), which has a square ticket layout and a different style of calling. History The game itself, not originally called bingo, is thought to have had its roots in Italy in the 16th century, specifically, around 1530. Bingo originates from the Ital ...
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First Transcontinental Railroad
America's first transcontinental railroad (known originally as the "Pacific Railroad" and later as the "Overland Route (Union Pacific Railroad), Overland Route") was a continuous railroad line built between 1863 and 1869 that connected the existing eastern U.S. rail network at Council Bluffs, Iowa, with the Pacific coast at the Oakland Long Wharf on San Francisco Bay. The rail line was built by three private companies over public lands provided by extensive Land grant#Public lands and bounty-land warrants, U.S. land grants.Pacific Railroad Act of 1862, §2 & §3 Building was financed by both state and U.S. government subsidy bonds as well as by company-issued mortgage bonds.Pacific Railroad Act of 1862, §5 & §6 The Western Pacific Railroad (1862–1870), Western Pacific Railroad Company built of track from the road's western terminus at Alameda, California, Alameda/Oakland, California, Oakland to Sacramento, California. The Central Pacific Railroad, Central Pacific Railroad Co ...
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Thousand Character Classic
The ''Thousand Character Classic'' (), also known as the ''Thousand Character Text'', is a Chinese poem that has been used as a primer for teaching Chinese characters to children from the sixth century onward. It contains exactly one thousand characters, each used only once, arranged into 250 lines of four characters apiece and grouped into four line rhyming stanzas to facilitate easy memorization. It is sung, akin to alphabet songs for phonetic writing systems. Along with the '' Three Character Classic'' and the ''Hundred Family Surnames'', it formed the basis of traditional literacy training in the Sinosphere. The first line is ''Tian di xuan huang'' () and the last line, ''Yan zai hu ye'' () explains the use of the grammatical particles , , , and . History There are several stories of the work's origin. One says that Emperor Wu of the Liang dynasty (r. 502–549) commissioned Zhou Xingsi (, 470–521) to compose this poem for his prince to practice calligraphy. Another sa ...
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