Gambling in the context of Probabilities

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. 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 formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

A tile-based game is a game that uses tiles as one of the fundamental elements of play. Traditional tile-based games use small tiles as playing pieces for gambling or entertainment games. Some board games use tiles to create their board, giving multiple possibilities for board layout, or allowing changes in the board geometry during play.

Each tile has a back (undifferentiated) side and a face side. Domino tiles are usually rectangular, twice as long as they are wide and at least twice as wide as they are thick, though games exist with square tiles, triangular tiles and even hexagonal tiles. Modern games may use unconventional non-tileable shapes such as the curved-shaped Bendominoes, or use many different shapes that together tile a surface such as the polyominoes in Blokus.

Informally or generally, a mafia is any of various criminal organizations that include, or bear a strong similarity to, the original Sicilian Mafia, the Italian-American Mafia, or other Italian organized crime groups. The central activity of such an organization would be the arbitration of disputes between criminals, as well as the organization and enforcement of illicit agreements between criminals through violence. Mafias often engage in secondary activities such as gambling, loan sharking, drug trafficking, prostitution, and fraud.

The term Mafia was originally applied to the Sicilian Mafia. Since then, the term has expanded to encompass other organizations of similar practices and objectives, e.g. "the Russian mafia" or "the Japanese mafia". The term was coined by the press and is informal; the criminal organizations themselves have their own names (e.g. the Sicilian Mafia and the related Italian-American mafia refer to their organizations as "Cosa nostra"; the "Japanese mafia" calls itself Ninkyō dantai but is more commonly known as "Yakuza" by the public; and "Russian mafia" groups often call themselves "Bratva").

Las Vegas, colloquially referred to as Vegas, is the most populous city in the U.S. state of Nevada and the seat of Clark County. It is the 24th-most populous city in the United States, with 641,903 residents at the 2020 census. The Las Vegas metropolitan area has an estimated 2.4 million residents and is the 29th-largest metropolitan area in the country. Las Vegas is an internationally renowned major resort city, known primarily for its gambling, shopping, fine dining, entertainment, and nightlife. Most of these venues are located in downtown Las Vegas or on the Las Vegas Strip, which is outside city limits in the unincorporated towns of Paradise and Winchester. The Las Vegas Valley serves as the leading financial, commercial, and cultural center in Nevada.

Las Vegas was settled in 1905 and officially incorporated in 1911. At the close of the 20th century, it was the most populated North American city founded within that century. Population growth has accelerated since the 1960s and into the 21st century, and between 1990 and 2000 the population increased by 85.2%.

An amusement arcade, also known as a video arcade, amusements, arcade, or penny arcade (an older term), is a venue where people play arcade games. These include arcade video games, pinball machines, electro-mechanical games, redemption games, merchandisers (such as claw machines), or coin-operated billiards or air hockey tables. In some countries, some types of arcades are also legally permitted to provide gambling machines such as slot machines or pachinko machines. Games are usually housed in cabinets.

Video games were introduced in amusement arcades in the late 1970s and were most popular during the golden age of arcade video games, the early 1980s.

Public morality refers to moral and ethical standards enforced in a society, by law or police work or social pressure, and applied to public life, to the content of the media, and to conduct in public places.

Public morality often means regulation of sexual matters, including prostitution and homosexuality, but also matters of dress and nudity, pornography, acceptability in social terms of cohabitation before marriage, and the protection of children. It is a main justification for censorship; it can lead to campaigns against profanity, and so be at odds with freedom of speech. Gambling is generally controlled: casinos have been considered much more of a threat than large-scale lotteries or football pools. Public drunkenness is quite unacceptable in some societies, and legal control of consumption of alcohol is often justified in terms of public morality, just as much as for medical reasons or to limit alcohol-related crime. Drug legislation, historically speaking, has sometimes followed on similar reasoning. Abortion is sometimes treated as an aspect of public morality, even if it is legally defined, regulated by medical professionals, and almost entirely hidden from public view. AIDS as a health policy issue is linked to public morality in a complicated manner. A famous remark on male homosexuality of Mrs Patrick Campbell, that she did not care what people did as long as they "didn't frighten the horses", shows that in some sense even high tolerance expects a public limitation on behaviour. At the opposite extreme a theocracy may equate public morality with religious instruction, and give both the equal force of law.

In probability theory, odds provide a measure of the probability of a particular outcome. Odds are commonly used in gambling and statistics. For example for an event that is 40% probable, one could say that the odds are "2 in 5", "2 to 3 in favor", "2 to 3 on", or "3 to 2 against".

In gambling, odds are often given as the ratio of the possible net profit to the possible net loss. However in many situations, the possible loss ("stake" or "wager") is paid up front and, if the gambler wins, the net win plus the stake is returned. So wagering 2 at "3 to 2", pays out 3 + 2 = 5, which is called "5 for 2". When Moneyline odds are quoted as a positive number +X, it means that a wager pays X to 100. When Moneyline odds are quoted as a negative number −X, it means that a wager pays 100 to X.

A binary option is a financial exotic option in which the payoff is either some fixed monetary amount or nothing at all. The two main types of binary options are the cash-or-nothing binary option and the asset-or-nothing binary option. The former pays some fixed amount of cash if the option expires in-the-money while the latter pays the value of the underlying security. They are also called all-or-nothing options, digital options (more common in forex/interest rate markets), and fixed return options (FROs) (on the NYSE American).

While binary options may be used in theoretical asset pricing, they are prone to fraud in their applications and hence banned by regulators in many jurisdictions as a form of gambling. Many binary option outlets have been exposed as fraudulent. The U.S. FBI is investigating binary option scams throughout the world, and the Israeli police have tied the industry to criminal syndicates. The European Securities and Markets Authority (ESMA) has banned retail binary options trading. Australian Securities & Investments Commission (ASIC) considers binary options as a "high-risk" and "unpredictable" investment option, and finally also banned binary options sale to retail investors in 2021.

Problem gambling, also known as pathological gambling, gambling disorder, or ludomania, is repetitive gambling behavior despite harm and negative consequences. Problem gambling may be diagnosed as a mental disorder according to DSM-5 if certain diagnostic criteria are met. Pathological gambling is a common disorder associated with social and family costs.

The DSM-5 has re-classified the condition as an addictive disorder, with those affected exhibiting many similarities to those with substance addictions. The term gambling addiction has long been used in the recovery movement. Pathological gambling was long considered by the American Psychiatric Association to be an impulse-control disorder rather than an addiction. However, data suggests a closer relationship between pathological gambling and substance use disorders than exists between PG and obsessive–compulsive disorder, mainly because the behaviors in problem gambling and most primary substance use disorders (i.e., those not resulting from a desire to "self-medicate" for another condition such as depression) seek to activate the brain's reward mechanisms, while the behaviors characterizing obsessive–compulsive disorder are prompted by overactive and misplaced signals from the brain's fear mechanisms.

Social conservatism in the United States is a political ideology focused on the preservation of traditional values and beliefs. It focuses on a concern with moral and social values which proponents of the ideology see as degraded in modern society by liberalism. In the United States, one of the largest forces of social conservatism is the Christian right.

Social conservatives in the United States generally take fundamentalist, familialist, moralist stances on social issues. This is exemplified by their opposition to abortion, opposition to feminism, support for traditional family values, opposition to pornography, support for abstinence-only sex education, opposition to LGBT rights, support for school prayer, support for school vouchers, support for homeschooling, support for Sunday blue laws, opposition to gambling, and opposition to recreational drug use, among others.

Puukkojunkkari (Swedish: knivjunkare, translated to English as knife-fighter; lit. 'knife junker') or häjy (lit. 'mean, wicked') was a term used of troublemakers who were active in the Southern Ostrobothnia region of Finland in the 19th century. Fights among puukkojunkkaris were common, and often resulted in death. Puukkojunkkaris usually made trouble at weddings, stole horses and roamed the towns and villages. They also participated in gambling and theft. The most notorious puukkojunkkaris lived in towns near the Lapuanjoki [fi] river, such as Alahärmä. The first homicides took place in the 1790s, but the infamous "golden age" of puukkojunkkaris lasted from the 1820s to the 1880s.

Ronald Kray (24 October 1933 – 17 March 1995) and Reginald Kray (24 October 1933 – 1 October 2000) were English identical twin brothers from Haggerston who were heavily involved in organised crime from the late 1950s until their arrest in 1968.

Their gang, known as the Firm, was based in Bethnal Green, where the Kray twins lived. They were involved in murder, armed robbery, arson, protection rackets, gambling and assaults. At their peak in the 1960s, they gained a certain measure of celebrity status by mixing with prominent members of London society, being photographed by David Bailey and interviewed on television.

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, numbered balls, or in the case of digital games random number generators. A game of chance may be played as gambling if players wager money or anything of monetary value.

Alternatively, a game of skill is one in which the outcome is determined mainly by mental or physical skill, rather than chance.

A slot machine, fruit machine (British English), puggie (Scots), poker machine or pokie (Australian English and New Zealand English) is a gambling machine that creates a game of chance for its customers.

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 mechanical operations of early machines have been superseded by random number generators, and most are now operated using buttons and touchscreens.

A gamer is someone who plays interactive games, either video games, tabletop role-playing games, skill-based card games, or any combination thereof, and who often plays for extended periods of time. Originally a hobby, gaming has evolved into a profession for some, with some gamers routinely competing in games for money, prizes, or awards. In some countries, such as the US, UK, and Australia, the term "gaming" can refer to legalized gambling, which can take both traditional and digital forms, such as through online gambling. There are many different gamer communities around the world. Since the advent of the Internet, many communities take the form of Internet forums or YouTube or Twitch virtual communities, as well as in-person social clubs. In 2021, there were an estimated 3.24 billion gamers across the globe.

Randomness has multiple uses in science, art, statistics, cryptography, gaming, gambling, and other fields. For example, random assignment in randomized controlled trials helps scientists to test hypotheses, and random numbers or pseudorandom numbers help video games such as video poker.

These uses have different levels of requirements, which leads to the use of different methods. Mathematically, there are distinctions between randomization, pseudorandomization, and quasirandomization, as well as between random number generators and pseudorandom number generators. For example, applications in cryptography usually have strict requirements, whereas other uses (such as generating a "quote of the day") can use a looser standard of pseudorandomness.

Native American gaming comprises casinos, bingo halls, slots halls and other gambling operations on Indian reservations or other tribal lands in the United States. Because these areas have tribal sovereignty, states have limited ability to forbid gambling there, as codified by the Indian Gaming Regulatory Act of 1988. As of 2024, there were 532 gambling operations run by 243 tribes, with a total annual revenue of $43.9 billion.