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Herbert Maisel
Four Horsemen of the Apocalypse is the name given by gambling authors to the four U.S. Army engineers who first discovered in the 1950s the best playing strategy in the casino game of Blackjack that can be formulated on the basis of the player's and the dealer's cards. The so-called Basic Strategy, which was subsequently refined through the use of computers and combinatorial analysis, loses the least money to the casino in the long term. History In 1953, Roger Baldwin, a private in the U.S. Army with a master's degree in mathematics from Columbia University, stationed in Aberdeen Proving Ground, the U.S. Army's oldest active proving ground, was playing dealer's choice poker in the barracks. After a player acting as dealer selected Blackjack, someone remarked that the dealer, as they do in the Las Vegas casinos, would have to stand on 17 and hit on 16. Baldwin was intrigued by this news enough to embark on a project during his off-work hours to discover the optimal playing strateg ...
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Las Vegas Sun
The ''Las Vegas Sun'' is one of the Las Vegas Valley's two daily subscription newspapers. It is owned by the Greenspun family and is affiliated with Greenspun Media Group. The paper published afternoons on weekdays from 1990 to 2005 and is now included as a section inside the pages of the morning ''Las Vegas Review-Journal'' but continues operating exclusively on its own website. Its publisher and president is Brian Greenspun, former publisher Hank Greenspun's son, who was a college roommate of President Bill Clinton. It has been described as "politically liberal". History The ''Las Vegas Sun'' was first published on May 21, 1950, by Hank Greenspun, who served as its editor until his death. Hank acquired the ''Las Vegas Free Press'' and two weeks later renamed it to the ''Las Vegas Sun''. He started the ''Las Vegas Sun'' after he received a US$1,000-loan from businessman Nate Mack. From its founding the paper was published in the mornings. Starting in 1989, after it signed a ...
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Mechanical Calculator
A mechanical calculator, or calculating machine, is a mechanical device used to perform the basic operations of arithmetic automatically, or a simulation like an analog computer or a slide rule. Most mechanical calculators were comparable in size to small desktop computers and have been rendered obsolete by the advent of the electronic calculator and the digital computer. Surviving notes from Wilhelm Schickard in 1623 reveal that he designed and had built the earliest known apparatus fulfilling the widely accepted definition of a mechanical calculator (a counting machine with an automated tens-carry). His machine was composed of two sets of technologies: first an abacus made of Napier's bones, to simplify multiplications and divisions first described six years earlier in 1617, and for the mechanical part, it had a dialed pedometer to perform additions and subtractions. A study of the surviving notes shows a machine that could have jammed after a few entries on the same dial. ...
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Blackjack Forum
''Blackjack Forum'' was a trade journal for professional blackjack players, founded in 1981 and published by Arnold Snyder. Originally a 100-page quarterly journal, it expanded into an online forum which is frequented by professional gamblers, attorneys, industry people, mathematicians, and other aficionados. Along with Stanford Wong's ''Current Blackjack News'', it was considered one of the major newsletters for the blackjack market. Frequent authors included Nick Alexander, Peter A. Griffin, James Grosjean, Tommy Hyland, and Snyder. Topics involved card counting, betting systems, software, cheating, comps, casino conditions, author and player interviews, and other gambling-related topics such as horse-racing and poker Poker is a family of Card game#Comparing games, comparing card games in which Card player, players betting (poker), wager over which poker hand, hand is best according to that specific game's rules. It is played worldwide, with varying rules i .... In 199 ...
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Arnold Snyder
Arnold Snyder ( 1960 – 6 June 2023) was a professional gambler and gambling author. He was elected by professional blackjack players as one of the seven original inductees into the Blackjack Hall of Famebr>€“ hosted at Barona Casino – for his contributions as a blackjack player and his innovations in professional gambling techniques. He was the first blackjack authority to publish the importance of deck penetration (depth of the deal) in card counting, in his 1980 book ''The Blackjack Formula''. He was also the first blackjack researcher to argue (in ''Blackjack Forum'', 1981–1983) that radical simplification of blackjack card counting systems did not substantially decrease earnings. Since 1981, Arnold Snyder has been the editor of ''Blackjack Forum'', a quarterly trade journal for professional gamblers. In 2004, Snyder moved the publication of ''Blackjack Forum'' from print to online due to time constraints imposed by playing more frequently and the frustration with dealin ...
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Expected Value
In probability theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first Moment (mathematics), moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean, mean of the possible values a random variable can take, weighted by the probability of those outcomes. Since it is obtained through arithmetic, the expected value sometimes may not even be included in the sample data set; it is not the value you would expect to get in reality. The expected value of a random variable with a finite number of outcomes is a weighted average of all possible outcomes. In the case of a continuum of possible outcomes, the expectation is defined by Integral, integration. In the axiomatic foundation for probability provided by measure theory, the expectation is given by Lebesgue integration. The expected value of a random variable is often denoted by , , or , with a ...
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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 try to overcome the casino house edge by keeping a running count of high and low valued cards dealt. They generally bet more when they have an advantage and less when the dealer has an advantage. They also change playing decisions based on the composition of the deck and sometimes play in teams. Basics Card counting is based on statistical evidence that high cards (aces, 10s, and 9s) benefit the player, while low cards, (2s, 3s, 4s, 5s, 6s, and 7s) benefit the dealer. High cards benefit the player in the following ways: # They increase the player's probability of hitting a Blackjack, which often pays out at 3 to 2 odds (although some casinos pay at 6 to 5). # Doubling down increases expected value. The elevated ratio of tens and aces improves the probability that doubling down will succeed. The most common hand values that the player doubles ...
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Southern United States
The Southern United States (sometimes Dixie, also referred to as the Southern States, the American South, the Southland, Dixieland, or simply the South) is List of regions of the United States, census regions defined by the United States Census Bureau. It is between the Atlantic Ocean and the Western United States, with the Midwestern United States, Midwestern and Northeastern United States to its north and the Gulf of Mexico and Mexico to its south. Historically, the South was defined as all states south of the 18th-century Mason–Dixon line, the Ohio River, and the Parallel 36°30′ north, 36°30′ parallel.The South
. ''Britannica''. Retrieved June 5, 2021.
Within the South are different subregions such as the Southeastern United States, Southeast, South Central United States, South Central, Upland South, Upper South, and ...
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African Americans
African Americans, also known as Black Americans and formerly also called Afro-Americans, are an American racial and ethnic group that consists of Americans who have total or partial ancestry from any of the Black racial groups of Africa. African Americans constitute the second largest ethno-racial group in the U.S. after White Americans. The term "African American" generally denotes descendants of Africans enslaved in the United States. In 2023, an estimated 48.3 million people self-identified as Black, making up 14.4% of the country’s population. This marks a 33% increase since 2000, when there were 36.2 million Black people living in the U.S. African-American history began in the 16th century, with Africans being sold to European slave traders and transported across the Atlantic to the Western Hemisphere. They were sold as slaves to European colonists and put to work on plantations, particularly in the southern colonies. A few were able to achieve freedom th ...
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Jews
Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, religion, and community are highly interrelated, as Judaism is their ethnic religion, though it is not practiced by all ethnic Jews. Despite this, religious Jews regard Gerim, converts to Judaism as members of the Jewish nation, pursuant to the Conversion to Judaism, long-standing conversion process. The Israelites emerged from the pre-existing Canaanite peoples to establish Kingdom of Israel (Samaria), Israel and Kingdom of Judah, Judah in the Southern Levant during the Iron Age.John Day (Old Testament scholar), John Day (2005), ''In Search of Pre-Exilic Israel'', Bloomsbury Publishing, pp. 47.5 [48] 'In this sense, the emergence of ancient Israel is viewed not as the cause of the demise of Canaanite culture but as its upshot'. Originally, J ...
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Catholic
The Catholic Church (), also known as the Roman Catholic Church, is the List of Christian denominations by number of members, largest Christian church, with 1.27 to 1.41 billion baptized Catholics Catholic Church by country, worldwide as of 2025. It is among the world's oldest and largest international institutions and has played a prominent role in the history and development of Western civilization.Gerald O'Collins, O'Collins, p. v (preface). The church consists of 24 Catholic particular churches and liturgical rites#Churches, ''sui iuris'' (autonomous) churches, including the Latin Church and 23 Eastern Catholic Churches, which comprise almost 3,500 dioceses and Eparchy, eparchies List of Catholic dioceses (structured view), around the world, each overseen by one or more Bishops in the Catholic Church, bishops. The pope, who is the bishop of Rome, is the Papal supremacy, chief pastor of the church. The core beliefs of Catholicism are found in the Nicene Creed. The ...
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Protestant
Protestantism is a branch of Christianity that emphasizes Justification (theology), justification of sinners Sola fide, through faith alone, the teaching that Salvation in Christianity, salvation comes by unmerited Grace in Christianity, divine grace, the priesthood of all believers, and the Bible as the sole infallible source of authority for Christian faith and practice. The five solae, five ''solae'' summarize the basic theological beliefs of mainstream Protestantism. Protestants follow the theological tenets of the Reformation, Protestant Reformation, a movement that began in the 16th century with the goal of reforming the Catholic Church from perceived Criticism of the Catholic Church, errors, abuses, and discrepancies. The Reformation began in the Holy Roman Empire in 1517, when Martin Luther published his ''Ninety-five Theses'' as a reaction against abuses in the sale of indulgences by the Catholic Church, which purported to offer the remission of the Purgatory, temporal ...
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Charles Van Doren
Charles Lincoln Van Doren (February 12, 1926 â€“ April 9, 2019) was an American writer and editor who was involved in a television quiz show scandal in the 1950s. In 1959 he testified before the United States Congress that he had been given the correct answers by the producers of the NBC quiz show '' Twenty-One''. Terminated by NBC, he joined Encyclopædia Britannica, Inc. in 1959, becoming a vice-president and writing and editing many books before retiring in 1982. Background Charles Van Doren was born in New York City, the elder son of Pulitzer Prize-winning poet, critic and professor Mark Van Doren and novelist Dorothy Van Doren (nĂ©e Graffe), and a nephew of critic and Pulitzer Prize-winning biographer Carl Van Doren. He graduated from the High School of Music & Art in New York, and earned a B.A. degree in Liberal Arts (1946) from St. John's College in Annapolis, Maryland, as well as an M.A. in astrophysics (1949) and a Ph.D. in English (1955), both at Columbia Un ...
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