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Bingo cards are playing cards designed to facilitate the game of Bingo in its various forms around the world.
In the early 1500s the people of Italy began to play a game called "Lo Gioco del Lotto d'Italia," which literally means "The game of lotto of Italy." The game operated very much like a modern lottery as players placed bets on the chances of certain numbers being drawn. By the 1700s, a version of Lo Gioco del Lotto d'Italia was played in France, where paper cards were first used to keep track of numbers drawn by a caller. [1]
Before the advent of printing machines, numbers on bingo cards were either painted by hand or stamped using rubber stamps onto thick cardboard. [2] Cards were reusable, meaning players used tokens to mark called numbers. The number of unique cards was limited as randomization had to occur by hand. Before the advent of online Bingo, cards were printed on card stock and, increasingly, disposable paper. [3] While cardboard and paper cards are still in use, Bingo halls are turning more to "flimsies" (also called "throwaways") — a card inexpensively printed on very thin paper to overcome increasing cost — and electronic Bingo cards to overcome the difficulty with randomization. [4] [5]
There are two types of Bingo cards. One is a 5x5 grid meant for 75-ball Bingo, which is largely played in the U.S. The other uses a 9x3 grid for U.K. style "Housie" or 90-ball Bingo. [6]
Players use cards that feature five columns of five squares each, with every square containing a number (except the middle square, which is designated a "FREE" space). The columns are labeled "B" (numbers 1–15), "I" (numbers 16–30), "N" (numbers 31–45), "G" (numbers 46–60), and "O" (numbers 61–75). [7]
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A popular Bingo myth [8] claims that U.S. Bingo innovator Edwin S. Lowe contracted Columbia University professor Carl Leffler to create 6,000 random and unique Bingo cards. The effort is purported to have driven Leffler insane. Manual random permutation is an onerous and time-consuming task that limited the number of Bingo cards available for play for centuries.
The calculation of random permutations is a matter of statistics principally relying on the use of factorial calculations. In its simplest sense, the number of unique "B" columns assumes that all 15 numbers are available for the first row. That only 14 of the numbers are available for the second row (one having been consumed for the first row). And that only 13, 12, and 11 numbers are available for each of the third, fourth, and fifth rows. Thus, the number of unique "B" (and "I", "G", and "O", respectively) columns is (15*14*13*12*11) = 360,360. The combinations of the "N" column differ due to the use of the free space. Therefore, it has only (15*14*13*12) = 32,760 unique combinations. The product of the five rows (360,3604 * 32,760) describes the total number of unique playing cards. That number is 552,446,474,061,128,648,601,600,000 simplified as 5.52x1026 or 552 septillion.
Printing a complete set of Bingo cards is impossible for all practical purposes. If one trillion cards could be printed each second, a printer would require more than seventeen million years to print just one set. However, while the number combination of each card is unique, the number of winning cards is not. If a winning game using e.g. row #3 requires the number set B10, I16, G59, and O69, there are 333,105,095,983,435,776 (333 quadrillion) winning cards. Therefore, calculation of the number of Bingo cards is more practical from the point of view of calculating the number of unique winning cards.
For example, in a simple one-pattern game of Bingo a winning card may be the first person to complete row #3. Because the "N" column contains a free space, the maximum number of cards that guarantee a unique winner is (15*15*15*15) = 50,625. Because the players need to only focus on row #3, the remaining numbers in rows #1, #2, #4, and #5 are statistically insignificant for purposes of game play and can be selected in any manner as long as no number is duplicated on any card.
Perhaps the most common pattern set, known as "Straight-line Bingo" is completing any of the five rows, columns, or either of the main diagonals. [5] In this case the possibility of multiple winning cards is unavoidable because any one of twelve patterns on every card can win the game. But not all 552 septillion cards need to be in play. Any given set of numbers in a column (e.g., 15, 3, 14, 5, 12 in the "B" column) can be represented in any of 5! (for the "B", "I", "G", and "O" columns. 4! for the "N" column) or 120 different ways. These combinations are all statistically redundant. Therefore, the total number of cards can be reduced by a factor of (5!4 * 4!) = 4,976,640,000 for a total unique winning card set of 111,007,923,832,370,565 or 111 quadrillion. (Still impossibly enormous, but our eager printer described above would only need 1.29 days to complete the task.)
The challenge of a multiple-pattern game is selecting a winner wherein a tie is possible. The solution is to name the player who shouts "Bingo!" first, is the winner. However, it is more practical and manageable to use card sets that avoid multiple-pattern games. The single-pattern #3 row has already been mentioned, but its limited card set causes problems for the emerging online Bingo culture. Larger patterns, e.g. a diamond pattern consisting of cell positions B3, I2 and I4, N1 and N5, G2 and G4, and O3, are often used by online Bingo games to permit large number of players while ensuring only one player can win. (A unique winner is further desirable for online play where network delays and other communication interference can unfairly affect multiple winning cards. The winner would be determined by the first person to click the "Bingo!" button (emulating the shout of "Bingo!" during a live game).) In this case the number of unique winning cards is calculated as (152*(15*14)3/23) = 260,465,625 (260 million). The division by two for each of the "I", "N", and "G" columns is necessary to once again remove redundant number combinations, such as [31,#,#,#,45] and [45,#,#,#,31] in the N column.
In UK bingo, or Housie, cards are usually called "tickets." The cards contain three rows and nine columns. Each row contains five numbers and four blank spaces randomly distributed along the row. Numbers are apportioned by column (1–9, 10–19, 20–29, 30–39, 40–49, 50–59, 60–69, 70–79 and 80–90). [9]
Games available in most casinos are commonly called casino games. In a casino game, the players gamble cash or casino chips on various possible random outcomes or combinations of outcomes. Casino 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.
Tarocchini are point trick-taking tarot card games popular in Bologna, capital city of the Emilia-Romagna region of Italy and has been confined mostly to this area. They are the diminutive form of tarocchi, referring to the reduction of the Bolognese pack from 78 to 62 cards, which probably occurred in the early 16th century.
Cribbage, or crib, is a card game, traditionally for two players, that involves playing and grouping cards in combinations which gain points. It can be adapted for three or four players.
In the United States and Canada, bingo is a game of chance in which each player matches the numbers printed in different arrangements on cards. The game host draws balls at random, marking the selected numbers with tiles. When a player finds that the selected numbers are arranged on their card in a horizontal, vertical, or diagonal line, they call out "Bingo!" to alert all participants to a winning card, which prompts the game host to examine the card for verification of the win. Players compete against one another to be the first to have a winning arrangement for the prize or jackpot. After a winner is declared, the players clear their number cards of the tiles and the game host begins a new round of play.
Trump Card is an American syndicated game show that aired from September 10, 1990, to May 24, 1991, hosted by Jimmy Cefalo. Debi Massey served as hostess and Chuck Riley was the announcer. The show was produced by Telepictures Productions, Createl, Ltd., and Fiedler-Berlin Productions, with Warner Bros. Television distributing. It was based on the British game show Bob's Full House, which consisted of contestants trying to answer questions to fill up a 15-square bingo board.
A scratchcard is a card designed for competitions, often made of thin cardstock or plastic to conceal PINs, where one or more areas contain concealed information which can be revealed by scratching off an opaque covering.
Slingo is an online single and multi-player game that combines elements of slots and bingo. The game was created by New Jersey real estate developer, Sal Falciglia Sr. in 1994, who also founded the company Slingo, Inc. to create and market games based on the Slingo theme. In July 2013, RealNetworks acquired Slingo for $15.6 million, and in July 2015 RealNetworks announced that it would sell Slingo to London-based gaming company Gaming Realms. Slingo has since become popular in the UK online gambling industry, with many sites now hosting the game, including its various iterations of which there are currently 12. These are known collectively and individually as ‘Slingo Originals’ and were developed by Gaming Realms’ development and publishing branch of the same name. Both the games and brand have enjoyed commercial success, and have been praised for their playability and originality.
Lotería is a traditional Mexican board game of chance, similar to bingo, and is played on a deck of cards instead of numbered ping pong balls. Every image has a name and an assigned number, but the number is usually ignored. Each player has at least one tabla, a board with a randomly created 4 x 4 grid of pictures with their corresponding name and number. Players choose a tabla ("board") to play with, from a variety of previously created tablas, each with a different selection of images.
The New Zealand Lotteries Commission, trading as Lotto New Zealand since 2013, is a Crown entity that operates nationwide lotteries in New Zealand. It was established in 1987 and operates under the Gambling Act 2003. Its oldest and most popular game is Lotto, which boasts a top prize pool of NZ$1 million. Other games include the four-draws-daily Keno, the daily Bullseye, and a variety of scratchcards and online games known as Instant Kiwi. Instant Kiwi may only be played by persons 18 years of age or older, under the Gambling Act 2003. Powerball and Lotto Strike are optional extras with every Lotto ticket. Powerball is a jackpotting game, with a maximum jackpot of $50 million - after which a Must Be Won draw must be called.
The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory. From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.
Lucky Numbers was a weekly Bingo-based game show that aired on ITV from 9 January 1995 to 4 July 1997 and was hosted by Shane Richie.
The New Jersey Lottery is run by the U.S. state of New Jersey. Its In-house draw games are Pick-3, Pick-4, Jersey Cash 5, Pick-6, Quick Draw, and Cash Pop. Its multi-jurisdictional draw games are Cash4Life, Mega Millions, and Powerball. The Lottery also sells Fast Play and scratch-off tickets. The New Jersey Lottery is headquartered at One Lawrence Park Complex in Lawrence Township, Mercer County.
The Missouri Lottery is the state-run lottery in Missouri. It is a charter member of the Multi-State Lottery Association (MUSL). As of 2022, the lottery offers Powerball, Mega Millions, Cash4Life, Lotto, Show Me Cash, Pick 4, Pick 3, Cash Pop, Club Keno, scratchers, and pull-tabs. The minimum age to buy a ticket is 18.
Prize Bingo is a game derived from standard Bingo games which is particularly popular in UK seaside resorts. Rather than winning cash prizes as per normal bingo, Prize Bingo instead offers points to the winner of each game which can be redeemed in a dedicated shop near to or within the Prize Bingo area although some games reward players with free games or tokens.
BingoLotto is a hybrid lottery-bingo style gameshow based on the Swedish show of the same name, Bingolotto. Each week, viewers with a valid gamecard had a 1 in 9.5 chance of winning. However, unlike the National Lottery, prizes would be life-enhancing, rather than life-changing. In other words, prizes were "small," varying from more game-cards to the maximum cash prize of £100,000. The game cards were printed in Sweden by "Idrottens Digital Print".
Pinoy Bingo Night is the Philippine game show version of National Bingo Night, which premiered on the ABS-CBN from March 30 to June 26, 2009 replacing the third season of Kapamilya, Deal or No Deal and was replaced by The Wedding. It is hosted by Kris Aquino with Brod Pete as the "bingo caller" and Mel Feliciano as the "commissioner", who referees the playing studio audience.
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 in the UK 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 the closure of many halls. The number of bingo clubs in Britain has dropped from nearly 600 in 2005 to under 400 as of January 2014. These closures are blamed on high taxes, the smoking ban, and the rise in online gambling, amongst other things.
Pokeno is a game manufactured by United States Playing Card Company. First released in 1930, the game is a combination of poker and keno and is similar to the game of bingo in several aspects.
Tombola is a lottery-style board game which originated in Southern Italy. A variation of the game is a popular form of raffle in the UK and elsewhere around the world.
Bingo Blitz is a freemium online board and card game released by Playtika which was published in August 2012 and is available for Facebook, iOS, Android, and Microsoft Windows.