Mixing
Lottery
A lottery drawing being conducted at the television studio at Texas Lottery Commission headquarters
A lottery is a form of gambling that involves the drawing of numbers for a prize. Lotteries are outlawed by some governments, 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. Though 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 organizer if insufficient tickets are sold. More commonly the prize fund will be a fixed percentage of the receipts. A popular form of this is the "50–50" draw where the organizers promise that the prize will be 50% of the revenue.[citation needed] Many recent lotteries allow purchasers to select the numbers on the lottery ticket, resulting in the possibility of multiple winners.
Contents
1 Classical history
2 Medieval history
3 Ticket gallery
4 Early modern history
4.1 France, 1539–1789
4.2 England, 1566–1826
4.3 Early United States 1612–1900
4.4 German-speaking countries
4.5 Spain, 1763
5 Modern history by country
5.1 Australia
5.2 Canada
5.3 Mexico
5.4 Spain
5.5 Thailand
5.6 United Kingdom
5.7 United States
5.8 Malaysia
6 Mathematical analysis
6.1 Probability of winning
7 Scams and frauds
8 Payment of prizes
9 See also
10 References
11 Further reading
12 External links
Classical history
The first recorded signs of a lottery are keno slips from the Chinese Han Dynasty between 205 and 187 BC. These lotteries are believed to have helped to finance major government projects like the Great Wall of China. From the Chinese "The Book of Songs" (2nd millennium BC.) comes a reference to a game of chance as "the drawing of wood", which in context appears to describe the drawing of lots.
The first known European lotteries were held during the Roman Empire, mainly as an amusement at dinner parties. Each guest would receive a ticket, and prizes would often consist of fancy items such as dinnerware. Every ticket holder would be assured of winning something. This type of lottery, however, was no more than the distribution of gifts by wealthy noblemen during the Saturnalian revelries. The earliest records of a lottery offering tickets for sale is the lottery organized by Roman Emperor Augustus Caesar. The funds were for repairs in the City of Rome, and the winners were given prizes in the form of articles of unequal value.
Medieval history
The first recorded lotteries to offer tickets for sale with prizes in the form of money were held in the Low Countries in the 15th century. Various towns held public lotteries to raise money for town fortifications, and to help the poor. The town records of Ghent, Utrecht, and Bruges indicate that lotteries may be even older. A record dated 9 May 1445 at L'Ecluse refers to raising funds to build walls and town fortifications, with a lottery of 4,304 tickets and total prize money of 1737 florins[1] (worth about US$170,000 in 2014).[2] In the 17th century it was quite usual in the Netherlands to organize lotteries to collect money for the poor or in order to raise funds for all kinds of public usages. The lotteries proved very popular and were hailed as a painless form of taxation. The Dutch state-owned Staatsloterij is the oldest running lottery. The English word lottery is derived from the Dutch noun "lot" meaning "fate".
The first recorded Italian lottery was held on 9 January 1449 in Milan organized by the Golden Ambrosian Republic to finance the war against the Republic of Venice. However, it was in Genoa that Lotto became very popular. People used to bet on the name of Great Council members, who were drawn by chance, five out of ninety candidates every six months . This kind of gambling was called Lotto or Semenaiu. When people wanted to bet more frequently than twice a year, they began to substitute the candidates names with numbers and modern lotto was born, to which both modern legal lotteries and the illegal Numbers game can trace their ancestry.
Ticket gallery
English Lottery 1566 Scroll.
English State Lottery Ticket 1814 issued by broker Swift & Co.
Massachusetts Lottery Ticket 1758 French & Indian Wars
1776 Lottery ticket issued by the Continental Congress to finance the American Revolutionary War.
Harvard Lottery Ticket 1811
Ticket from an 1814 lottery to raise money for Queen's College, New Jersey.
New Hampshire Lottery Ticket 1964
Early modern history
France, 1539–1789
King Francis I of France discovered the lotteries during his campaigns in Italy and decided to organize such a lottery in his kingdom to help the state finances. The first French lottery, the Loterie Royale, was held in 1539 and was authorized with the edict of Châteaurenard. This attempt was a fiasco, since the tickets were very costly and the social classes which could afford them opposed the project. During the two following centuries lotteries in France were forbidden or, in some cases, tolerated.
England, 1566–1826
An 1809 lottery drawing at Coopers' Hall in London
Although the English probably first experimented with raffles and similar games of chance, the first recorded official lottery was chartered by Queen Elizabeth I, in the year 1566, and was drawn in 1569. This lottery was designed to raise money for the "reparation of the havens and strength of the Realme, and towardes such other publique good workes". Each ticket holder won a prize, and the total value of the prizes equalled the money raised. Prizes were in the form of silver plate and other valuable commodities. The lottery was promoted by scrolls posted throughout the country showing sketches of the prizes.[3]
Thus, the lottery money received was an interest free loan to the government during the three years that the tickets ('without any Blankes') were sold. In later years, the government sold the lottery ticket rights to brokers, who in turn hired agents and runners to sell them. These brokers eventually became the modern day stockbrokers for various commercial ventures.
Most people could not afford the entire cost of a lottery ticket, so the brokers would sell shares in a ticket; this resulted in tickets being issued with a notation such as "Sixteenth" or "Third Class".
Many private lotteries were held, including raising money for The Virginia Company of London to support its settlement in America at Jamestown. The English State Lottery ran from 1694 until 1826. Thus, the English lotteries ran for over 250 years, until the government, under constant pressure from the opposition in parliament, declared a final lottery in 1826. This lottery was held up to ridicule by contemporary commentators as "the last struggle of the speculators on public credulity for popularity to their last dying lottery".
Early United States 1612–1900
An English lottery, authorized by King James I in 1612, granted the Virginia Company of London the right to raise money to help establish settlers in the first permanent English colony at Jamestown, Virginia.
Lotteries in colonial America played a significant part in the financing of both private and public ventures. It has been recorded that more than 200 lotteries were sanctioned between 1744 and 1776, and played a major role in financing roads, libraries, churches, colleges, canals, bridges, etc.[4]
In the 1740s, the foundation of Princeton and Columbia Universities was financed by lotteries, as was the University of Pennsylvania by the Academy Lottery in 1755.
During the French and Indian Wars, several colonies used lotteries to help finance fortifications and their local militia. In May 1758, the Commonwealth of Massachusetts raised money with a lottery for the "Expedition against Canada".
Benjamin Franklin organized a lottery to raise money to purchase cannon for the defense of Philadelphia. Several of these lotteries offered prizes in the form of "Pieces of Eight". George Washington's Mountain Road Lottery in 1768 was unsuccessful, but these rare lottery tickets bearing Washington's signature became collectors' items; one example sold for about $15,000 in 2007. Washington was also a manager for Col. Bernard Moore's "Slave Lottery" in 1769, which advertised land and slaves as prizes in The Virginia Gazette.
At the outset of the Revolutionary War, the Continental Congress used lotteries to raise money to support the Colonial Army. Alexander Hamilton wrote that lotteries should be kept simple, and that "Everybody ... will be willing to hazard a trifling sum for the chance of considerable gain ... and would prefer a small chance of winning a great deal to a great chance of winning little". Taxes had never been accepted as a way to raise public funding for projects, and this led to the popular belief that lotteries were a form of hidden tax.
At the end of the Revolutionary War the various states had to resort to lotteries to raise funds for numerous public projects.
German-speaking countries
The first big lottery on German soil was held in 1614 in Hamburg.
In Austria the first lottery was drawn in 1751, during the reign of Empress Maria Theresia, and was named Lotto di Genova since it was based on 90 numbers.
Spain, 1763
Spain offers a wealth of lottery games, the majority of which are operated by Loterías y Apuestas del Estado with the remaining lotteries operated by the ONCE and the Catalan government. The first Spanish lottery game was played back in 1763 and, over the last two centuries, playing the lottery in Spain has developed into a tradition.
The Spanish Christmas Lottery (officially Sorteo Extraordinario de Navidad [soɾˈteo ekstɾaorðiˈnaɾjo ðe naβiˈðað] or simply Lotería de Navidad [loteˈɾia ðe naβiˈðað]) is a national lottery. It is organized every year since 1812 by a branch of the Spanish Public Administration, now called Loterías y Apuestas del Estado. The name Sorteo de Navidad was used for the first time in 1892.
The Spanish Christmas lottery is the second longest continuously running lottery in the world. This includes the years during the Spanish Civil War when the lottery draw was held in Valencia after the Republicans were forced to relocate their capital from Madrid. After the overthrow of the Republican government the lottery continued uninterrupted under the Franco regime.
Modern history by country
Notable prizes on different continents are:
| Prize (local currency) | Lottery | Country | Winner | Date | Notes |
|---|---|---|---|---|---|
| $1.586 billion pre-tax | Powerball |  United States | Three winners | 13 January 2016 | World's largest jackpot |
| €185 million or £161 million | EuroMillions |  United Kingdom | One ticket holder from Scotland[5] | 12 July 2011 | Europe's largest jackpot |
RMB¥ 570 million | China Welfare Lottery |  China | One ticket holder from Beijing | 12 June 2012 | Asian largest prize and the biggest prize taken in China |
| R$244 million | Mega-Sena |  Brazil | Three ticket holders from Franca (SP), Aparecida de Goiania (GO) and São Paulo. | 31 December 2012 | South America's largest prize |
| A$112 million | OZ lotto |  Australia | Four winners | 6 November 2012 | Australia's highest lottery prize |
Australia
The first lottery in Australia took place in the 1880s in Sydney. It was a private sweepstakes that was quickly prohibited, despite being moved to other areas such as Queensland and Victoria.[6] In 1916, the Australian government started their own lottery, named the 'Golden Casket Art Union', with the intention of raising money for charities and projects. Its first draw is credited with raising funds for veterans of World War One.[7]
Canada
Lotteries in Canada are administered by five regional organizations; the Atlantic Lottery Corporation (which serves Atlantic Canada), Loto-Québec, the Ontario Lottery and Gaming Corporation, the Western Canada Lottery Corporation (which serves Western and Northern Canada, excluding British Columbia), and the British Columbia Lottery Corporation. The five regional lotteries are members of a consortium known as the Interprovincial Lottery Corporation, which administrates national games, including the flagship Lotto 6/49 and Lotto Max. The five lotteries offer draw games, scratch cards, and sports betting—the latter primarily under the brand Sport Select.
The largest single jackpot record in Canadian lottery history was a Lotto 6/49 drawing on October 17, 2015 for a jackpot of $64 million.[8]
Mexico
National Lottery building located in Mexico City
The Mexican Lotería Nacional dates back to the late 18th century. The goal of the Lotería is to create jobs and to "impulse the wealth redistribution process".[9] The Lotería is also a member of the North American Association of State and Provincial Lotteries.[10]
Spain
As measured by the total prize payout, the Spanish Christmas Lottery is considered the biggest lottery worldwide. In 2012, if all of the tickets had been sold, the total amount payout of prizes would have been worth €2.52 billion (70% of ticket sales). The total amount of all prizes of the first category called El Gordo ("the fat one") was €720 million which was distributed among 180 winning tickets (billetes) that win €4 million each.
For 2013, due to falling demand, the number of €20 tickets available was reduced from 180 million to 160 million, reducing the potential maximum prize pool to €2.24 billion (70% of ticket sales), with a maximum potential El Gordo of €720 million.
Thailand
A lottery was first held in Thailand (then known as Siam) in 1874 during the reign of King Chulalongkorn (Rama V), as part of an international fair organised for his birthday. A lottery was organised in 1917 by the British government with Thai consent to help finance Britain's war effort. Lotteries were held intermittently until 1933, when they became regularised under the finance department.[11]
The present Thai lottery is managed by The Government Lottery Office, a state enterprise managed by the Ministry of Finance. The drawings take place on the 1st and 16th of each month, with the top price now up to 32 million baht.[12]
Shrines of local folklore and popular religion, such as Nang Ta-Khian, are often propitiated in order to be lucky in the Thai lottery draw.[13]
United Kingdom
The principal lottery in the United Kingdom is the National Lottery, a state-franchised lottery sanctioned by the Gambling Commission (formerly the National Lottery Commission), and established in 1994. It is operated by the Camelot Group, which was first granted the franchise in 1994. Camelot's current franchise agreement runs through 2019.[14] 28% of National Lottery revenue, along with all unclaimed prizes, are distributed as grants to charitable causes. 12% of the revenue from the National Lottery is expected to go to the government, 5% goes to lottery retailers, 5% is retained by Camelot Group for operating costs, and 50% remains for the total prize fund of which 5% is diverted to a Super Draw fund, leaving 45% for normal prizes.[15]
Northern & Shell also operates a commercial lottery known as The Health Lottery, which distributes its revenue to support health-related charities and causes. To comply with the Gambling Act, which forbids other parties from operating a national lottery, The Health Lottery operates as an umbrella corporation representing a group of 51 society lotteries across the United Kingdom with a common drawing and prize pool. Each drawing is held on behalf of one or more of the society lotteries, whose revenues go to support health-related causes in their respective area. The Health Lottery received criticism on launch for only pledging to donate 20.3% of ticket costs to charity, compared to the National Lottery's 28%, and that the lottery's structure was designed to contravene British law regarding lotteries.[16][17][18]
United States
Lotteries are operated at the state level in the U.S.; 44 states and 3 territories operate state lotteries, and nearly all of them are members of consortiums that operate regional games, and the two near-national games Mega Millions and Powerball. In January 2016, Powerball set a record for the largest lottery jackpot in U.S. history, with its January 13, 2016 draw having an estimated jackpot of US$1.5 billion.[19][20]
The precursor to legal lotteries were the underground "numbers game" of the 1800s, which operated out of "Policy shops" where bettors choose numbers. In 1875, a report of a select committee of the New York State Assembly stated that "the lowest, meanest, worst form ... [that] gambling takes in the city of New York, is what is known as policy playing". The game was also popular in Italian neighborhoods known as the Italian lottery, and it was known in Cuban communities as bolita ("little ball").[21] By the early 20th century, the game was associated with poor communities, and could be played for as little as $0.01. The game's attractions to low income and working class bettors were the ability to bet small amounts of money, and that bookies could extend credit to the bettor. In addition, policy winners could avoid paying income tax. Different policy banks would offer different rates, though a payoff of 600 to 1 was typical. Since the odds of winning were 1000:1, the expected profit for racketeers was enormous.[21]
The first modern government-run US lottery was established in Puerto Rico in 1934,[22] followed by New Hampshire in 1964.
In 2018, Ohio became one of the first states to offer people a digital lottery option. The technology, developed by Linq3, allows players to play the lottery on their smart phones.[23]
Malaysia
Main article : Sport Toto in Malaysia
Lottery industry start operated in Malaysia on early 1969 by Berjaya Group. Sports Toto Malaysia Sdn Bhd is a Malaysian company, which operates in the gambling sector.
Founded and incorporated by the Malaysian Government in 1969, it was focused on the commercialisation of 4-Digits–based games. On 1 August 1985, the government in a non-tender privatisation, sold the company to businessman Vincent Tan who merged it into his Berjaya Group.
Today, Sports Toto is a wholly owned subsidiary of Berjaya Sports Toto Berhad (MYX: 1562), which is listed on the main market of Bursa Malaysia. It claims to be the largest operator in Malaysia of 4D-based games, with 680 sales outlets offering a total of 7 games.
Mathematical analysis
The purchase of lottery tickets cannot be accounted for by decision models based on expected value maximization. The reason is that lottery tickets cost more than the expected gain, as shown by lottery mathematics, so someone maximizing expected value should not buy lottery tickets. Yet, lottery purchases can be explained by decision models based on expected utility maximization, as the curvature of the utility function can be adjusted to capture risk-seeking behavior. More general models based on utility functions defined on things other than the lottery outcomes can also account for lottery purchase. In addition to the lottery prizes, the ticket may enable some purchasers to experience a thrill and to indulge in a fantasy of becoming wealthy. If the entertainment value (or other non-monetary value) obtained by playing is high enough for a given individual, then the purchase of a lottery ticket could represent a gain in overall utility. In such a case, the disutility of a monetary loss could be outweighed by the combined expected utility of monetary and non-monetary gain, thus making the purchase a rational decision for that individual.
Probability of winning
| Number of balls matched | Probability |
|---|---|
| 6 | 1 in 13,983,816 |
| 5 | 1 in 1,906,884 |
| 4 | 1 in 211,876 |
| 3 | 1 in 18,424 |
| 2 | 1 in 1,176 |
| 1 | 1 in 49 |
| 0 | 1 in 2.3 |
The chances of winning a lottery jackpot can vary widely depending on the lottery design, and are determined by several factors, including the count of possible numbers, the count of winning numbers drawn, whether or not order is significant, and whether drawn numbers are returned for the possibility of further drawing.
In a simple 6-from-49 lotto, a player chooses six numbers from 1 to 49 (no duplicates are allowed). If all six numbers on the player's ticket match those produced in the official drawing (regardless of the order in which the numbers are drawn), then the player is a jackpot winner. For such a lottery, the chance of being a jackpot winner is 1 in 13,983,816.[24]
In bonusball lotteries where the bonus ball is compulsory, the odds are often even lower. In the Mega Millions multi-state lottery in the United States, 5 numbers are drawn from a group of 75 and 1 number is drawn from a group of 15, and a player must match all 6 balls to win the jackpot prize. The chance of winning the jackpot is 1 in 258,890,850.[25]
The odds of winning can also be reduced by increasing the group from which numbers are drawn. In the SuperEnalotto of Italy, players must match 6 numbers out of 90.[26] The chance of winning the jackpot is 1 in 622,614,630.[27]
Most lotteries give lesser prizes for matching just some of the winning numbers, with a lesser prize for fewer matches. Although none of these additional prizes affect the chances of winning the jackpot, they do improve the odds of winning something and therefore add a little to the value of the ticket.
Scams and frauds
Lotteries, like any form of gambling, are susceptible to fraud, despite the high degree of scrutiny claimed by the organizers. Numerous lottery scams exist.
Some advance fee fraud scams on the Internet are based on lotteries. The fraud starts with spam congratulating the recipient on their recent lottery win. The email explains that in order to release funds the email recipient must part with a certain amount (as tax/fees) as per the rules or risk forfeiture.[28]
Another form of scam involves the selling of "systems" which purport to improve a player's chances of selecting the winning numbers in a Lotto game. These scams are generally based on the buyer's (and perhaps the seller's) misunderstanding of probability and random numbers. Sale of these systems or software is legal, however, since they mention that the product cannot guarantee a win, let alone a jackpot.
There have also been several cases of cashiers at lottery retailers who have attempted to scam customers out of their winnings. Some locations require the patron to hand the lottery ticket to the cashier to determine how much they have won, or if they have won at all, the cashier then scans the ticket to determine one or both. In cases where there is no visible or audible cue to the patron of the outcome of the scan some cashiers have taken the opportunity to claim that the ticket is a loser or that it is worth far less than it is and offer to "throw it away" or surreptitiously substitute it for another ticket. The cashier then pockets the ticket and eventually claims it as their own.[29]
The BBC TV series The Real Hustle showed a variation of the lottery scam in which a group of scammers pretended to have won a lottery, but was prevented from claiming the prize as the person who wrote the name on the back of the ticket was supposedly out of the country on that date. They were able to persuade a stranger to put up money as collateral in order to share in the prize pool.
On some occasions, the actual lottery draw itself has been compromised by fraudsters. The 1980 Pennsylvania Lottery scandal involved weighting balls in The Daily Number. In the Hot Lotto fraud scandal software code was added to the Hot Lotto random number generator allowing a fraudster to predict winning numbers on specific days of the year.[30]
In 2003, Mohan Srivastava, a Canadian geological statistician, found non-random patterns in "Tic-Tac-Toe" tickets sold by the Ontario Lottery and Gaming Corporation. "Tic-Tac-Toe" was pulled off the shelves, and became the first game ever recalled by the OLG.[31]
Payment of prizes
Winnings (in the U.S.) are not necessarily paid out in a lump sum, contrary to the expectation of many lottery participants. In certain countries, mainly the U.S., the winner gets to choose between an annuity payment and a one-time payment. The one-time payment (cash or lump sum) is a "smaller" amount than the advertised (annuity) jackpot, even before applying any withholdings to which the prize is subject. While withholdings vary by jurisdiction and how winnings are invested, it is suggested that a winner who chooses lump sum expects to pocket 1/3 of the advertised jackpot at the end of the tax year. Therefore, a winner of a $100,000,000 jackpot who chooses cash can expect $33,333,333.33 net after filing income tax document(s) for the year in which the jackpot was won.
Lottery annuities are often for a period from 20 to 30 years. Some U.S. lottery games, especially those offering a "lifetime" prize, do not offer a lump-sum option.
In some online lotteries, the annual payments are only $25,000, with a balloon payment in the final year. This type of installment payment is often made through investment in government-backed securities. Online lotteries pay the winners through their insurance backup. However, many winners choose lump sum, since they believe they can get a better rate of return on their investment elsewhere.
In some countries, lottery winnings are not subject to personal income tax, so there are no tax consequences to consider in choosing a payment option. In France, Canada, Australia, Germany, Ireland, Italy, New Zealand, Finland, and the United Kingdom all prizes are immediately paid out as one lump sum, tax-free to the winner. In Liechtenstein, all winnings are tax-free and the winner may opt to receive a lump sum or an annuity with regard to the jackpot prizes.
In the US, federal courts have consistently held that lump sum payments received from third parties in exchange for the rights to lottery annuities are not capital assets for tax purpose. Rather, the lump sum is subject to ordinary income tax treatment.
See also
- Betting pool
- Combinatorial number system
- Gambling
- Gaming mathematics
- GTech Corporation
- Intralot
- Keno
- List of lotteries
- Lotteries by country
- Lottery payouts
- Problem gambling
- Scratchcard
References
^ R. Shelley (1989). The Lottery Encyclopedia. Austin, TX: Byron Pub. Services. p. 109..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output q{quotes:"""""""'""'"}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}
^ "Historical Currency Conversions". Futureboy.us. Retrieved 2014-05-13.
^ John Ashton, A History of English Lotteries, 1893.
^ John Samuel Ezell, Fortune's Merry Wheel, 1960.
^ Diffley, Sean. "The World's Biggest Lottery Jackpots ("News" blog)". lottosocial.com. Retrieved 2018-10-08.
^ "Lottery Online - Lotto Tickets & Results - World Lottery Club". www.worldlotteryclub.com. Archived from the original on 2014-12-14. Retrieved 2014-12-03.
^ "Our History". tatts.com.
^ "Mississauga ticket holder wins record $64M Lotto 6/49 jackpot". CBC News. Retrieved 19 October 2015.
^ Lotenal.gob. "About Us – Who Are We?". Archived from the original on 23 June 2012. Retrieved 30 May 2012.
^ NASPL.org. "Member Lotteries". Archived from the original on 25 May 2012. Retrieved 30 May 2012.
^ "History". The Government Lottery Office (GLO). Retrieved 10 June 2015.
^ "Winning Number Sheet" (PDF). The Government Lottery Office (GLO). Retrieved 10 June 2015.
^ 10 อันดับ สถานที่ขอหวย ที่ฮิตมากที่สุด ในประเทศไทย
^ "Camelot gets nod for UK lottery". BBC News. Retrieved 2017-08-05.
^ The National Lottery. "Where The Money Goes". Retrieved 30 May 2012.
^ Ramesh, Randeep; editor, social affairs (2011-09-27). "Richard Desmond's health lottery branded a 'disgrace'". The Guardian. ISSN 0261-3077. Retrieved 2017-08-05.
^ Benjamin, Alison (2011-10-19). "Is the health lottery good news for charities?". The Guardian. ISSN 0261-3077. Retrieved 2017-08-05.
^ Halliday, Josh (2011-10-27). "Richard Desmond's Health Lottery under scrutiny by watchdog". The Guardian. ISSN 0261-3077. Retrieved 2017-08-05.
^ "No winning Powerball tickets sold; jackpot hits $1.3 billion". Los Angeles Times. Retrieved 11 January 2016.
^ "How Powerball manipulated the odds to create a $1.5 billion jackpot". Washington Post. Retrieved 13 January 2016.
^ ab
Holice and Debbie, Our Police Protectors: History of New York Police
Chapter 13, Part 1 Archived 2008-06-04 at the Wayback Machine.. Accessed on 4/2/2005
^ "Ley Núm. 74 de 2006 -Ley del Programa de Ayuda a Jugadores Compulsivos de Puerto". Lexjuris.com. Retrieved 2012-07-26.
^ "Mobile-Enabled Lottery Card™ Launches in Ohio". Ohio Business Daily. 2018-08-22. Retrieved 2018-08-24.
^ 13983816=49!6!43!{displaystyle 13983816={frac {49!}{6!,43!}}}
^ 258890850=1575!5!70!{displaystyle 258890850=15,{frac {75!}{5!,70!}}}
^ "SuperEnalotto". SuperEnalotto official website. Retrieved 2012-01-07.
^ 622614630=90!6!84!{displaystyle 622614630={frac {90!}{6!,84!}}}
^ "Lottery Scams". Euro-Millions.net. Retrieved 2011-11-10.
^ "How Lucky can you get". MSNBC. Retrieved 2011-03-17.
^ Gibbs, Samuel; agencies (8 April 2016). "Man hacked random-number generator to rig lotteries, investigators say" – via www.theguardian.com.
^ Yang, Jennifer (2011-02-04). "Toronto man cracked the code to scratch-lottery tickets". The Toronto Star. Retrieved 3 January 2012.
Further reading
- A History of English Lotteries, by John Ashton, London: Leadenhall Press, 1893
- Fortune's Merry Wheel, by John Samuel Ezell, Harvard University Press, 1960.
- Lotteries and Sweepstakes, 1932 by Ewen L'Estrange
- The Lottery Encyclopedia, 1986 by Ron Shelley (NY Public Library)
- Fate's Bookie: How The Lottery Shaped The World by Gary Hicks, History Press, 2009
Brickman,, Philip; Coates, Dan; Janoff-Bulman, Ronnie (August 1978), "Lottery winners and accident victims: is happiness relative?", Journal of Personality and Social Psychology, 36 (8): 917–927, doi:10.1037/0022-3514.36.8.917
Kaplan, H. Roy (1987), "Lottery winners: The myth and reality", Journal of Gambling Studies, 3 (3), doi:10.1007/BF01367438
Arvey, Richard D.; Harpaz, Itzhak; Liao, Hui (September 2004), "Work centrality and post-award work behavior of lottery winners", The Journal of Psychology, 138 (5), doi:10.3200/JRLP.138.5.404-420
Lau, Christoph; Kramer, Ludwig (2005), Die Relativitätstheorie des Glücks. Über das Leben von Lottomillionären (The Relativity of Luck: About the Life of Lottery Millionaires) (in German), Herbolzheim: Centaurus, ISBN 3-8255-0605-3
Gardner, Jonathan; Oswald, Andrew J. (January 2007), "Money and mental wellbeing: A longitudinal study of medium-sized lottery wins", Journal of Health Economics, 26 (1): 49–60, doi:10.1016/j.jhealeco.2006.08.004
Larsson, Bengt (January 2011), "Becoming a Winner But Staying the Same: Identities and Consumption of Lottery Winners", American Journal of Economics and Sociology, 70 (1): 187–209, doi:10.1111/j.1536-7150.2010.00768.x
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