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Game A game is a structured form of play (activity), play, usually undertaken for enjoyment, entertainment or fun, and sometimes used as an educational tool. Many games are also considered to be work (such as professional players of spectator s ...
s available in most
casino A casino is a facility for certain types of gambling. Casinos are often built near or combined with hotels, resorts, restaurants, retail shopping, cruise ships, and other tourist attractions. Some casinos are also known for hosting live entertai ...
s are commonly called casino games. In a casino game, the players
gamble Gambling (also known as betting or gaming) is the wagering of something of value ("the stakes") on a random event with the intent of winning something else of value, where instances of strategy are discounted. Gambling thus requires three eleme ...
cash or
casino chips Casino tokens (also known as casino or gaming chips, checks, cheques or poker chips) are small discs used in terms of currency in casinos. Colored metal, injection-molded plastic or compression molded clay tokens of various denominations are us ...
on various possible
random In common usage, randomness is the apparent or actual lack of pattern or predictability in events. A random sequence of events, symbols or steps often has no :wikt:order, order and does not follow an intelligible pattern or combination. Ind ...
outcomes or combinations of outcomes. Casino games are also available in
online casino Online casinos, also known as virtual casinos or Internet casinos, are online versions of traditional ("brick and mortar") casinos. Online casinos enable gamblers to play and wager on casino games through the Internet. It is a prolific form of o ...
s, where permitted by law. Casino games can also be played outside casino for entertainment purposes like in parties or in school competitions, some 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 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 a ...
s and
pachinko is a mechanical game originating in Japan that is used as an arcade game, and much more frequently for gambling. Pachinko fills a niche in Japanese gambling comparable to that of the slot machine in the West as a form of low-stakes, low-st ...
, are usually played by one player at a time and do not require the involvement of casino employees to play. Tables games, such as
blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
or
craps Craps is a dice game in which players bet on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "street craps") or against a bank ("casino craps"). Because it requires little equipment, "street c ...
, 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
croupier A croupier or dealer is someone appointed at a gambling table to assist in the conduct of the game, especially in the distribution of bets and payouts. Croupiers are typically employed by casinos. Origin of the word Originally a "croupier" meant ...
s or dealers. Random number games are based upon the selection of random numbers, either from a computerized
random number generator Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols that cannot be reasonably predicted better than by random chance is generated. This means that the particular out ...
or from other gaming equipment. Random number games may be played at a table or through the purchase of paper tickets or cards, such as
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 va ...
or
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 ** Bi ...
. Some casino games combine multiple of the above aspects; for example,
roulette Roulette is a casino game named after the French word meaning ''little wheel'' which was likely developed from the Italian game Biribi''.'' In the game, a player may choose to place a bet on a single number, various groupings of numbers, the ...
is a table game conducted by a dealer, which involves random numbers. Casinos may also offer other types of gaming, such as hosting
poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
games or tournaments, where players compete against each other.


Common casino games

Games commonly found at casinos include table games, gaming machines and random numbers games.


Table games

In the
United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
, 'table game' is the term used for
games of chance A game of chance is in contrast with a game of skill. It is a game whose outcome is strongly influenced by some randomizing device. Common devices used include dice, spinning tops, playing cards, roulette wheels, or numbered balls drawn from ...
such as
blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
,
craps Craps is a dice game in which players bet on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "street craps") or against a bank ("casino craps"). Because it requires little equipment, "street c ...
,
roulette Roulette is a casino game named after the French word meaning ''little wheel'' which was likely developed from the Italian game Biribi''.'' In the game, a player may choose to place a bet on a single number, various groupings of numbers, the ...
and
baccarat Baccarat or baccara (; ) is a card game played at casinos. It is a comparing card game played between two hands, the "player" and the "banker". Each baccarat coup (round of play) has three possible outcomes: "player" (player has the higher score ...
that are played against the casino and operated by one or more live
croupier A croupier or dealer is someone appointed at a gambling table to assist in the conduct of the game, especially in the distribution of bets and payouts. Croupiers are typically employed by casinos. Origin of the word Originally a "croupier" meant ...
s, as opposed to those played on a mechanical device like a
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 a ...
or against other players instead of the casino, such as standard
poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
. Table games are popularly played in
casino A casino is a facility for certain types of gambling. Casinos are often built near or combined with hotels, resorts, restaurants, retail shopping, cruise ships, and other tourist attractions. Some casinos are also known for hosting live entertai ...
s and involve some form of legal gambling, but also are played privately by varying house rules. The term has significance in that some jurisdictions permit casinos to have only slots and no table games. In some states, this law has resulted in casinos employing electronic table games, such as
roulette Roulette is a casino game named after the French word meaning ''little wheel'' which was likely developed from the Italian game Biribi''.'' In the game, a player may choose to place a bet on a single number, various groupings of numbers, the ...
,
blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
, and
craps Craps is a dice game in which players bet on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "street craps") or against a bank ("casino craps"). Because it requires little equipment, "street c ...
. Table games found in casinos include: *
Baccarat Baccarat or baccara (; ) is a card game played at casinos. It is a comparing card game played between two hands, the "player" and the "banker". Each baccarat coup (round of play) has three possible outcomes: "player" (player has the higher score ...
*
Blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
*
Craps Craps is a dice game in which players bet on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "street craps") or against a bank ("casino craps"). Because it requires little equipment, "street c ...
*
Roulette Roulette is a casino game named after the French word meaning ''little wheel'' which was likely developed from the Italian game Biribi''.'' In the game, a player may choose to place a bet on a single number, various groupings of numbers, the ...
*
Poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
(
Texas hold'em Texas hold 'em (also known as Texas holdem, hold 'em, and holdem) is one of the most popular variants of the card game of poker. Two cards, known as hole cards, are dealt face down to each player, and then five community cards are dealt face ...
,
Five-card draw Five-card draw (also known as a Cantrell draw) is a poker variant that is considered the simplest variant of poker, and is the basis for video poker. As a result, it is often the first variant learned by new players. It is commonly played in ho ...
,
Omaha hold'em Omaha hold 'em (also known as Omaha holdem or simply Omaha) is a community card poker game similar to Texas hold 'em, where each player is dealt four cards and must make their best hand using exactly two of them, plus exactly three of the five ...
) *
Big Six wheel The Big Six wheel, also known simply as The Big Six, Wheel of Fortune, or The Big Wheel, is an unequal game of chance, played using a large vertical wheel that can be spun. Since 13 May 2002, it can be played legally in licensed casinos in the Un ...
*
Pool Pool may refer to: Water pool * Swimming pool, usually an artificial structure containing a large body of water intended for swimming * Reflecting pool, a shallow pool designed to reflect a structure and its surroundings * Tide pool, a rocky pool ...


Gaming machines

Gaming machines found in casinos include: *
Pachinko is a mechanical game originating in Japan that is used as an arcade game, and much more frequently for gambling. Pachinko fills a niche in Japanese gambling comparable to that of the slot machine in the West as a form of low-stakes, low-st ...
*
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 a ...
*
Video lottery terminal A video lottery terminal (VLT), also sometimes known as a video gaming terminal (VGT), video slots, or the video lottery, is a type of electronic gambling machine. They are typically operated by a region's lottery, and situated at licensed establis ...
*
Video poker Video poker is a casino game based on five-card draw poker. It is played on a computerized console similar in size to a slot machine. History Video poker first became commercially viable when it became economical to combine a television-like moni ...


Random numbers games

Random numbers games found in casinos include: *
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 ** Bi ...
*
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 va ...


House advantage

Casino games typically provide a predictable long-term advantage to the casino, or "house", while offering the players the possibility of a short-term gain that in some cases can be large. Some casino games have a skill element, where the players' decisions have an impact on the results. Players possessing sufficient skills to eliminate the inherent long-term disadvantage (the ''house edge'' or
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 ...
) in a casino game are referred to as
advantage play Advantage gambling, or advantage play, refers to legal methods used to gain an advantage while gambling, in contrast to cheating. The term usually refers to house-banked casino games, but can also refer to games played against other players, suc ...
ers. The players' disadvantage is a result of the casino not paying winning wagers according to the game's "true odds", which are the payouts that would be expected considering the odds of a wager either winning or losing. For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 6 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that the player gets the original amount wagered back. However, the casino may only pay 4 times the amount wagered for a winning wager. The house edge or vigorish is defined as the casino profit expressed as the percentage of the player's original bet. (In games such as
blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
or
Spanish 21 Spanish 21 is a blackjack variant owned by Masque Publishing Inc., a gaming publishing company based in Colorado. Unlicensed, but equivalent, versions may be called Spanish blackjack. In Australia and Malaysia, an unlicensed version of the game, wi ...
, the final bet may be several times the original bet, if the player double and splits.) In American
roulette Roulette is a casino game named after the French word meaning ''little wheel'' which was likely developed from the Italian game Biribi''.'' In the game, a player may choose to place a bet on a single number, various groupings of numbers, the ...
, there are two "zeroes" (0, 00) and 36 non-zero numbers (18 red and 18 black). This leads to a higher house edge compared to European roulette. The chances of a player, who bets 1 unit on red, winning are 18/38 and his chances of losing 1 unit are 20/38. The player's
expected value In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a l ...
is EV = (18/38 × 1) + (20/38 × (−1)) = 18/38 − 20/38 = −2/38 = −5.26%. Therefore, the house edge is 5.26%. After 10 spins, betting 1 unit per spin, the average house profit will be 10 × 1 × 5.26% = 0.53 units. European roulette wheels have only one "zero" and therefore the house advantage (ignoring the
en prison In roulette, the ''en prison'' rule is an opportunity to recover one's stakes after a spin of zero, provided one's bet was even-odds (i.e. high–low, even–odd, red–black). It is a variant of the ''la partage'' rule, in which a player loses ...
rule) is equal to 1/37 = 2.7%. The house edge of casino games varies greatly with the game, with some games having an edge as low as 0.3%.
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 va ...
can have house edges up to 25%, slot machines having up to 15%. The calculation of the roulette house edge is a trivial exercise; for other games, this is not usually the case. Combinatorial analysis and/or computer simulation is necessary to complete the task. In games that have a skill element, such as
blackjack Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
or
Spanish 21 Spanish 21 is a blackjack variant owned by Masque Publishing Inc., a gaming publishing company based in Colorado. Unlicensed, but equivalent, versions may be called Spanish blackjack. In Australia and Malaysia, an unlicensed version of the game, wi ...
, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as
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 ...
), on the first hand of the shoe (the container that holds the cards). The set of the optimal plays for all possible hands is known as "
basic strategy Blackjack (formerly Black Jack and Vingt-Un) is a casino banking game. The most widely played casino banking game in the world, it uses decks of 52 cards and descends from a global family of casino banking games known as Twenty-One. This fami ...
" and is highly dependent on the specific rules and even the number of decks used. Traditionally, the majority of casinos have refused to reveal the house edge information for their slots games and due to the unknown number of symbols and weightings of the reels, in most cases, it is much more difficult to calculate the house edge than in other casino games. However, due to some online properties revealing this information and some independent research conducted by
Michael Shackleford Michael Shackleford, (May 23, 1965 in Pasadena, California, United States), also known as "The Wizard of Odds" (a title taken from Donald Angelini), is an American mathematician and an actuary. He is best known for his professional analysis o ...
in the offline sector, this pattern is slowly changing. In games where players are not competing against the house, such as
poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
, the casino usually earns money via a commission, known as a " rake".


Standard deviation

The luck factor in a casino game is quantified using
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 ...
s (SD). The standard deviation of a simple game like roulette can be calculated using the
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 quest ...
. In the binomial distribution, SD = \sqrt, where ''n'' = number of rounds played, ''p'' = probability of winning, and ''q'' = probability of losing. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than −1 units for a loss, which doubles the range of possible outcomes. Furthermore, if we flat bet at 10 units per round instead of 1 unit, the range of possible outcomes increases 10 fold. : SD (roulette, even-money bet) = 2''b'' \sqrt, where ''b'' = flat bet per round, ''n'' = number of rounds, ''p'' = 18/38, and ''q'' = 20/38. For example, after 10 rounds at 1 unit per round, the standard deviation will be 2 × 1 × \sqrt = 3.16 units. After 10 rounds, the expected loss will be 10 × 1 × 5.26% = 0.53. As you can see, standard deviation is many times the magnitude of the expected loss. The standard deviation for pai gow poker is the lowest out of all common casino games. Many casino games, particularly slot machines, have extremely high standard deviations. The bigger size of the potential payouts, the more the standard deviation may increase. As the number of rounds increases, eventually, the expected loss will exceed the standard deviation, many times over. From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played. As the number of rounds increases, the expected loss increases at a much faster rate. This is why it is impossible for a gambler to win in the long term. It is the high ratio of short-term standard deviation to expected loss that fools gamblers into thinking that they can win. It is important for a casino to know both the house edge and variance for all of their games. The house edge tells them what kind of profit they will make as a percentage of turnover, and the variance tells them how much they need in the way of cash reserves. The mathematicians and computer programmers that do this kind of work are called gaming mathematicians and gaming analysts. Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.


See also

* Gambler's fallacy


References

{{DEFAULTSORT:Casino Game Casinos