|
Vacant Places
In the card game bridge, the law or principle of vacant places is a simple method for estimating the probable location of any particular card in the four hands. It can be used both to aid in a decision at the table and to derive the entire suit division probability table. At the beginning of a deal, each of four hands comprises thirteen cards and one may say there are thirteen vacant places in each hand. The probability that a particular card lies in a particular hand is one-quarter, or 13/52, the proportion of vacant places in that hand. From the perspective of a player who sees one hand, the probable lie of a missing card in a particular one of the other hands is one-third. The principle of vacant places is a rule for updating those uniform probabilities as one learns about the deal during the auction and the play. Essentially, as the lies of some cards become known – especially as the entire distributions of some suits become known – the odds on location of any othe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fargo (TV Series)
''Fargo'' is an American black comedy crime drama television series created and primarily written by Noah Hawley. The show is inspired by the 1996 film of the same name, which was written and directed by the Coen brothers, and takes place within the same fictional universe. The Coens were impressed by Hawley's script and agreed to be named as executive producers. The series premiered on April 15, 2014, on FX, and follows an anthology format, with each season set in a different era and location, with a different story and mostly new characters and cast, although there is minor overlap. Each season is heavily influenced by various Coen brothers films, with each containing numerous references to them. The first season, set primarily in Minnesota and North Dakota from January 2006 to February 2007 and starring Billy Bob Thornton, Allison Tolman, Colin Hanks, and Martin Freeman, received wide acclaim from critics. It won the Primetime Emmy Awards for Outstanding Miniseries, Outs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Card Game
A card game is any game using playing cards as the primary device with which the game is played, be they traditional or game-specific. Countless card games exist, including families of related games (such as poker). A small number of card games played with traditional decks have formally standardized rules with international tournaments being held, but most are folk games whose rules vary by region, culture, and person. Traditional card games are played with a ''deck'' or ''pack'' of playing cards which are identical in size and shape. Each card has two sides, the ''face'' and the ''back''. Normally the backs of the cards are indistinguishable. The faces of the cards may all be unique, or there can be duplicates. The composition of a deck is known to each player. In some cases several decks are shuffled together to form a single ''pack'' or ''shoe''. Modern card games usually have bespoke decks, often with a vast amount of cards, and can include number or action cards. This ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contract Bridge
Contract bridge, or simply bridge, is a trick-taking card game using a standard 52-card deck. In its basic format, it is played by four players in two competing partnerships, with partners sitting opposite each other around a table. Millions of people play bridge worldwide in clubs, tournaments, online and with friends at home, making it one of the world's most popular card games, particularly among seniors. The World Bridge Federation (WBF) is the governing body for international competitive bridge, with numerous other bodies governing it at the regional level. The game consists of a number of , each progressing through four phases. The cards are dealt to the players; then the players ''call'' (or ''bid'') in an auction seeking to take the , specifying how many tricks the partnership receiving the contract (the declaring side) needs to take to receive points for the deal. During the auction, partners use their bids to also exchange information about their hands, including o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Glossary Of Contract Bridge Terms
These terms are used in contract bridge, using duplicate or rubber scoring. Some of them are also used in whist, bid whist, the obsolete game auction bridge, and other trick-taking games. This glossary supplements the Glossary of card game terms. : ''In the following entries,'' boldface links ''are external to the glossary and'' plain links ''reference other glossary entries.'' 0–9 ;: A mnemonic for the original (Roman) response structure to the Roman Key Card Blackwood convention. It represents "3 or 0" and "1 or 4", meaning that the lowest step response (5) to the 4NT key card asking bid shows responder has three or zero keycards and the next step (5) shows one or four. ;: A mnemonic for a variant response structure to the Roman Key Card Blackwood convention. It represents "1 or 4" and "3 or 0", meaning that the lowest step response (5) to the 4NT key card asking bid shows responder has one or four keycards and the next step (5) shows three or zero. ;1RF: One round forc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conditional Probability
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) has already occurred. This particular method relies on event B occurring with some sort of relationship with another event A. In this event, the event B can be analyzed by a conditional probability with respect to A. If the event of interest is and the event is known or assumed to have occurred, "the conditional probability of given ", or "the probability of under the condition ", is usually written as or occasionally . This can also be understood as the fraction of probability B that intersects with A: P(A \mid B) = \frac. For example, the probability that any given person has a cough on any given day may be only 5%. But if we know or assume that the person is sick, then they are much more likely to be coughing. For example, the conditional probability that someone unwell (sick) is coughing might be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayes Theorem
In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately (by conditioning it on their age) than simply assuming that the individual is typical of the population as a whole. One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference. When applied, the probabilities involved in the theorem may have different probability interpretations. With Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence. Bayesian inference is fundamental to Bayesia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weak Two Bid
The weak two bid is a common used in the game of contract bridge, where an opening bid of two diamonds, hearts or spades signifies a weak hand, typically containing a long suit. It may be deployed within any system structure that offers a forcing artificial opening to handle hands of (eg) 20+ points, or an expectation of 8 or more tricks. It is form of preemptive bid. The strong call releases any remaining two level openings for pre-empting your opponents. In North America it is commonly used in combination with the strong two clubs convention. Worldwide there are many other variants, the commonest being a strong one club. “Weak Two” refers specifically to an opening bid, not to be confused with the "weak jump overcall". That denotes a similar hand type, made over an opponent's opening bid. Effectiveness 2S is most powerful in terms of pre-emption against your opponents. 2H is less so, easily defended by either a take out double or a 2S overcall. Paradoxically the 2D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bridge Probabilities
In the game of bridge mathematical probabilities play a significant role. Different declarer play strategies lead to success depending on the distribution of opponent's cards. To decide which strategy has highest likelihood of success, the declarer needs to have at least an elementary knowledge of probabilities. The tables below specify the various prior probabilities, i.e. the probabilities in the absence of any further information. During bidding and play, more information about the hands becomes available, allowing players to improve their probability estimates. Probability of suit distributions (for missing trumps, etc.) in two hidden hands This table"Mathematical Tables" (Table 4). represents the different ways that two to eight particular cards may be distributed, or may ''lie'' or ''split'', between two unknown 13-card hands (before the bidding and play, or ''a priori''). The table also shows the number of combinations of particular cards that match any numerical split an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Percentage Play
Percentage play in contract bridge is a play influenced by mathematical factors when more than one reasonable line of play is available. It is a generic name for plays in which declarer maximizes the chances for obtaining a certain number of tricks or the maximum number of tricks when considering the suit in isolation. Sometimes the percentage play is not the correct play considering the hand as a whole as an avoidance play or safety play may be more appropriate. In matchpoint games, which use comparative scoring, overtricks are very important, accordingly most hands are played simply to achieve the greatest number of tricks possible and risks may be taken to achieve overtricks that would not be considered at other types of scoring. Against a contract of 3NT West opens with the Q, and the A wins in dummy. In many types of bridge this hand calls for a safety play in which declarer reaches his hand (perhaps with the A) and leads a 4 putting in the 10. This will ensure communic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Principle Of Restricted Choice
In contract bridge, the principle of restricted choice states that "The play of a card which may have been selected as a choice of equal plays increases the chance that the player started with a holding in which his choice was restricted." Crucially, it helps play "in situations which used to be thought of as guesswork." For example, South leads a low spade, West plays a low one, North plays the queen, East wins with the king. The ace and king are equivalent cards; East's play of the king decreases the probability East holds the ace – and increases the probability West holds the ace. The principle helps other players infer the locations of unobserved equivalent cards such as that spade ace after observing the king. The increase or decrease in probability is an example of Bayesian updating as evidence accumulates and particular applications of restricted choice are similar to the Monty Hall problem. In many of those situations the rule derived from the principle is to ''play ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Safety Play
Safety play in contract bridge is a generic name for plays in which declarer maximizes the chances for fulfilling the contract (or achieving a certain score) by ignoring a chance for a higher score. Declarer uses safety plays to cope with potentially unfavorable layouts of the opponent's cards. In so doing, declarer attempts to ensure the contract even in worst-case scenarios, by giving up the possibility of overtricks. Safety plays adapt declarer's strategy to the scoring system. In IMP-scoring tournaments and rubber bridge, the primary scoring reward comes from fulfilling the contract and overtricks are of little marginal value. Therefore, safety plays are an important part of declarer technique at quantitative scoring. In matchpoint games, which use comparative scoring, overtricks are very important. Therefore, although safety plays have a certain role at matchpoints, they are normally avoided if the odds for making the contract are good and overtricks are likely. Definitio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Suit Combination
In the card game contract bridge, a suit combination is a specific subset of the cards of one suit held respectively in declarer's and dummy's hands at the onset of play. While the ranks of the remaining cards held by the defenders can be deduced precisely, their location is unknown. Optimum suit combination play allows for all possible lies of the cards held by the defenders. The term is also used for the sequence of plays from the declarer and dummy hands, conditional on intervening plays by the opponents; in other words, declarer's plan or strategy of play given his holdings and his goal for the number of tricks to be taken. In addition to understanding the possible initial combinations and probabilities for the location of the opponents' cards in a suit, declarer can further inform himself from the bidding, the opening lead and from the prior play of cards in establishing the probable location of remaining cards. Examples The diagram at left shows a heart suit combination ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
