Strategy and comparison with independent bookmakers

Unlike many forms of casino gambling, in [tag]parimutuel[/tag] betting the gambler bets against other gamblers, not the house. The science of determining the outcome of a race is called handicapping.

It is possible for a skilled player to win money in the long run at this type of gambling, but overcoming the deficit produced by taxes, the facility’s take, and the breakage is difficult to accomplish and few people are successful at it.

Independent off-track [tag]bookmakers[/tag] have a smaller take and thus offer better payoffs, but they are illegal in some countries. However, with the introduction of Internet gambling has come “rebate shops”. These off-shore betting shops in fact return some percentage of every bet made to the bettor. They are in effect reducing their take from 15-18% to as little as 1 or 2%, still ensuring a profit as they operate with minimal overhead. Rebate shops allow skilled horse players to make a steady income.

The recent WTO decision against the United States of America by the small island nation of Antigua opens the possibility for offshore horse betting groups to compete legally with parimutuel betting groups.

Parimutuel betting (from the French language: pari mutuel, mutual betting) is a betting system in which all bets of a particular type are placed together in a pool; taxes and a house take are removed, and payoff odds are calculated by sharing the pool among all placed bets.

The parimutuel system is used in gambling on horse racing, greyhound racing, jai alai, and all sporting events of relatively short duration in which participants finish in a ranked order. A modified parimutuel system is also used in some lottery games.

Parimutuel gambling is frequently state-regulated, and offered in many places where gambling is otherwise illegal. Parimutuel gambling is often also offered at “off track” facilities, where players may bet on the events without actually being present to observe them in person.

Parimutuel betting differs from fixed odds betting in that the final payout is not determined until the pool is closed – in fixed odds betting, the payout is agreed at the time the bet is sold.

Example of parimutuel betting

Consider a hypothetical event which has 8 possible outcomes, in a country using a decimal currency such as dollars . Each outcome has a certain amount of money wagered:

Outcome 1 – $30.00
Outcome 2 – $70.00
Outcome 3 – $12.00
Outcome 4 – $55.00
Outcome 5 – $110.00
Outcome 6 – $47.00
Outcome 7 – $150.00
Outcome 8 – $40.00

Thus the total pool of money on the event is $514.00. Following the start of the event, no more wagers are accepted. The event is decided and the winning outcome is determined to be Outcome 4 with $55.00 wagered. The payout is now calculated. First the commission or take for the wagering company is deducted from the pool, for example with a commission rate of 14.25% the calculation is: $514 – 0.1425 * $514 = $440.76. The remaining amount in the pool is now distributed to those who wagered on Outcome 4: $440.76 / $55 = $8.00 per $1.00 wagered. Thus, in decimal odds, outcome 4 is said to pay out $8.00.

Often at certain times prior to the event, betting agencies will provide approximates for what should be paid out for a given outcome should no more bets be accepted at the current time. Using the example above, an approximates table using the same commission rate in decimal odds would be:

Outcome 1 – $14.69
Outcome 2 – $6.30
Outcome 3 – $36.73
Outcome 4 – $8.00
Outcome 5 – $4.00
Outcome 6 – $9.38
Outcome 7 – $2.94
Outcome 8 – $11.02

In real-life examples such as horse racing, the pool size often extends into millions of dollars with many different types of outcomes (winning horses) and complex commission calculations.

Sometimes the amounts paid out are rounded down to a denomination interval – in the United States and Australia, 10 cent intervals are used. The rounding loss is sometimes known as breakage and is retained by the betting agency as part of the commission.

[edit] History of parimutuel betting

The parimutuel system was invented by Parisian perfume maker Joseph Oller in 1865 when asked by a bookmaker friend to devise a fair system for bettors which guarantees a fixed profit for the bookmaker.

The large amount of calculation involved in this system led to the invention of a specialized mechanical calculating machine known as a totalisator, “automatic totalisator” or “tote board”. The first was installed at Ellerslie Racecourse, Auckland, New Zealand in 1913, and they came into widespread use at race courses throughout the world (the U.S. introduction was in 1933 at Arlington Park, near Chicago, Illinois).

[edit] Parimutuel bet types

There may be several different types of bets, in which case each type of bet has its own pool. The basic bets involve predicting the order of finish for a single participant, as follows:

[edit] North America

In Canada and the United States, the most common types of bet on horse races include:

• win – to succeed the bettor must pick the horse which wins the race.
• place – the bettor must pick a horse which finishes either first, second or sometimes third (depending if there is a third dividend).
• show – the bettor must pick a horse which finishes first, second, or third.
• exacta, perfecta, or exactor –the bettor must pick the two horses which finish first and second, in the right order.
• quinella or quiniela – the bettor must pick the two horses which finish first and second, but need not specify which will finish first.
• trifecta or triactor – the bettor must pick the three horses which finish first, second, and third, in the right order.
• superfecta – the bettor must pick the four horses which finish first, second, third and fourth, in the right order.
• box – a box can be placed around exotic betting types such as exacta, trifecta or superfecta bets. This places a bet for all combinations of the numbers in the box. A trifecta box with 3 numbers has 6 possible combinations and costs 6 times the betting base amount. A trifecta box with 5 numbers has 120 possible combinations and costs 120 times the betting base amount. In France, a box gives only the ordered permutations going along an ordered list of numbers such that a trifecta box with 6 numbers would cost 20 times the base amount.
• double – the bettor must pick the winners of two successive races; most race tracks in Canada and the United States take double wagers on the first two races on the program (the daily double) and on the last two (the late double).
• triple – the bettor must pick the winners of three successive races; many tracks offer rolling triples, or triples on any three successive races on the program. Also called pick three or more commonly, a treble
• sweep – the bettor must pick the winners of four or more successive races. In the US, this is usually called pick four and pick six, with the latter paying out a consolation return to bettors correctly selecting five winners out of six races, and with “rollover” jackpots accumulating each day until one or more bettors correctly picks all six winners.

Win, place and show wagers class as straight bets, and the remaining wagers as exotic bets. Bettors usually make multiple wagers on exotic bets. A box consists of a multiple wager in which punters bet all possible combinations of a group of horses in the same race. A key involves making a multiple wager with a single horse in one race bet in one position with all possible combinations of other selected horses in a single race. A wheel consists of betting all horses in one race of a bet involving two or more races. For example a 1-all daily double wheel bets the 1-horse in the first race with every horse in the second.

People making straight bets commonly employ the strategy of an ‘each way’ bet. Here the bettor picks a horse and bets it will win, and makes an additional bet that it will show, so that theoretically if the horse runs third it will at least pay back the two bets. The Canadian and American equivalent is the bet across (short for across the board): the bettor bets equal sums on the horse to win, place, and show.

In Canada and the United States punters make exotic wagers on horses running at the same track on the same program. In the United Kingdom bookmakers offer exotic wagers on horses at different tracks. Probably the Yankee occurs most commonly: in this the bettor tries to pick the winner of four races. This bet also includes subsidiary wagers on smaller combinations of the chosen horses; for example, if only two of the four horses win, the bettor still collects for their double. A Trixie requires trying to pick three winners, and a Canadian or Super Yankee trying to pick five; these also include subsidiary bets. The term nap identifies the best bet of the day.

A parlay or accumulator consists of a series of bets in which bettors stake the winnings from one race on the next in order until either the bettor loses or the series completes successfully.

[edit] Australia

• Win – Runner must finish first.
• Place – Runner must finish first, second or third place. (In events with five to seven runners, no dividends are payable on third place (“NTD” or No Third Dividend) and in events with 4 or fewer runners, only Win betting is allowed).
• Each-way – A combination of Win and Place. A $5 bet Each-way is a $5.00 bet to Win and a $5.00 bet to Place, for a total bet cost of $10.
• Exacta – the bettor must pick the two horses which finish first and second and specify which will finish first
• Quinella – the bettor must pick the two horses which finish first and second, but need not specify which will finish first.
• Trifecta the bettor must pick the three horses which finish first, second, and third and specify which will finish first, second and third.
• First4 – the bettor must pick the four horses which finish first, second, third and fourth, and specify which will finish first, second, third and fourth.
• Running Double – the bettor must pick the winners of two consecutive races at same track
• Daily Double – the bettor must pick the winners of two nominated races at the same track
• Treble – the bettor must pick the winners of three nominated races at the same track. This bet type is only available in the states of Queensland and South Australia
• Quadrella or Quaddie – the bettor must pick the winners of four nominated races at the same track.

[edit] Ireland and the United Kingdom

• Win – Runner must finish first.
• Place – Runner must finish within the first two places (in a 5-7 runner race), three places (8-15 runners) or four places (16+ runners).
• Each-way – Charged and settled as one bet to win and another bet to place (if asking for a bet of “five pounds each way” you will be expected to pay ten pounds).

Depending on the facility rules, which might vary from event to event, other bets may also be offered which allow the user to pick the finish of more than one participant, or more than one event. These are called exotics, and generally pay higher dividends. However, the facility’s take is usually higher for these bets as well. The major exotics (in North America and Australia) are:

• Exacta (exactor, perfecta) – Picks the first and second place finishers, in order.
• Quinella – Picks the first and second place finishers, in either order.
• Trifecta (triactor) – Picks the first, second, and third place finishers, in order.
• Superfecta (First Four in Australia) – Picks the first four finishers in order.
• Daily/Extra/Rolling Double – Picks the first place finishers in two different events.
• Quadrella – Picks the first in four consecutive races.
• Pick 3 and pick 4 – Picks the first in three or four consecutive races, not necessarily the first three or four races of the day. Some tracks offer a “rolling pick 3,” on the first three races, the second through fourth, third through fifth, and so on.
• Pick 6 (jackpot) – Picks the winners in six consecutive events.

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Types of bets

Aside from simple wagers–betting a friend that one’s favorite baseball team will win its division, for instance, or buying a football “square” for the Super Bowl–sports betting is commonly done through a bookmaker. Legal sports bookmakers exist throughout the world (perhaps most notably in Las Vegas). In areas where sports betting is illegal, bettors usually make their sports wagers with illicit bookmakers (known colloquially as “bookies”) and on the Internet, where thousands of online bookmakers accept wagers on sporting events around the world. (In the United States, the legality of Internet wagering is ambiguous, due to the fact that online bookmakers generally operate outside of the U.S. Some online bookmakers do not accept wagers from the U.S. due to these unresolved legal questions.) The bookmaker earns a commission or “vigorish” by regarding the money at risk as less than the size of the bet placed. A common line is a $110 bet on a fair coin which pays $210 to win and $0 to lose. On this line, it costs $220 to bet both sides of the same coin simultaneously, but the combined bet always pays $210. The $10 loss constitutes the vig. There are opposing positions on whether the winner or loser can be construed as paying the vig, but this debate is not especially meaningful. If you view $110 to win $210 on a fair coin as $100 at risk, then it will appear as if the loser pays the vig; if you view the same line as $110 at risk, then it will appear as if the winner pays the vig. It happens that standard practice among bookies is to adjust odds so the amount at risk remains constant from the winning side of the proposition, hence the common perception that the loser pays the vig. Vigs expressed as percentages suffer from the same perceptual bias. On the line as given in this example, for a fair coin, the bookie has an expectation of making $5 for each $110 bet placed, which is often divided out and expressed as 4.5% Odds on teams or opponents are quoted in terms of the favorite (the team that is expected to win, thus requiring a riskier wager) and the underdog.

Bookmakers generally offer two types of wagers on the winner of a sporting event: a straight-up or money line bet, or a point spread wager. Moneylines and straight-up prices are used to set odds on sports such as soccer, baseball and hockey (the scoring nature of which renders point spreads impractical) as well as individual vs. individual matches, like boxing. For these sports, bookmakers in Europe and Asia generally use straight-up odds, which are quoted based on a payout for a single bet unit; for example, a 2-1 favorite would be listed at a price of 1.50, whereas an underdog returning twice the amount wagered would be listed at a price of 3.00.

American bookmakers generally use moneylines, which are quoted in terms of the amount required to win $100 on a favorite, or the amount paid for a $100 bet on an underdog. The amount “won” in a bet is the net amount over and above the initial bet. If a person wins $200 on a bet of $100, the bookmaker actually pays the winner $300 (i.e. $200 plus the initial bet of $100).

For example, a baseball game between the St. Louis Cardinals and Chicago Cubs might have a moneyline on St. Louis (the favorite) at -200 and Chicago (the underdog) at +180. A bettor looking to take St. Louis must risk $200 for every $100 he wishes to win over and above the initial $200 bet. A person wagering on Chicago will win $180 for every $100 he bets.

The +180 moneyline on Chicago includes a 20 cent “dime line”. Bookmakers generally use a “dime line” with moneylines to calculate the vigorish they receive on losing wagers. Without the 20 cent dimeline in the example above, the Chicago moneyline would be +200.

For favorites of -120 to -150, the difference between the favorite and underdog is 10 cents; i.e., the underdog to a -120 favorite is priced at +110. The discrepancy between prices rises for favorites of -160 or higher.

Unlike point spread bets, a moneyline wager requires only that the team wagered upon win the match. In sports such as baseball, where certain teams can be heavy favorites against weaker opponents (sometimes as much as -350 or higher), the moneyline system requires that a hefty sum be risked on the favorite, while enticing underdog players with a higher payout.

In sports such as basketball or American football, betting on the point spread is more popular, although money line odds are usually offered as well. A point spread wager typically requires a bettor to risk $110 to win $100, the extra $10 being the bookmaker’s vigorish if the wager loses. However, bettors backing the favorite collect only if their team wins by more than a specific victory margin, which is set at the time of the wager. This is called “covering the spread”. Similarly, underdog bettors can collect even when their team loses, as long as they win against the point spread by losing by fewer points than were quoted by the bookmaker. For example, suppose that a college football game between Kansas State and Kansas had K-State as a 27 point favorite (quoted as K-State -27, or Kansas +27):

• If Kansas State defeats Kansas by more than 27 points, they have covered the spread and bettors on K-State would receive $100 on a $110 bet. Kansas bettors lose the $110 they wagered.
• If Kansas defeats K-State, bettors on Kansas would receive $100 on a $110 bet. K-State bettors lose the $110 they wagered.
• If Kansas loses by less than 27 points, they have won against the spread. Bettors on both sides are then treated exactly as if Kansas had won the game.
• If K-State wins by exactly 27 points, the wager is called a “push”, and neither side wins. Standard practice by U.S. bookmakers is to return the stakes of all bettors on the game in full. To prevent pushes and ensure that they receive their commission on losing wagers, bookmakers often set point spreads that include a half-point.

Another common wager available for sporting events involves predicting the combined total score between the competing teams in a game. Such wagers are known as “totals” or “over/unders.” For example, the K-State/Kansas football game described above might have a total of 55 points. A bettor could wager that both teams will combine for over 55 points, and play the “over.” Or, she could predict that the score will fall under this amount, and play the “under.” As with point spreads, bookmakers frequently set the totals at a number involving a half-point (i.e., 55.5), to reduce the occurrence of pushes.

In the United Kingdom, each-way golf betting is serviced by twenty or more bookmakers, some of which, including the larger UK and Irish bookmakers, bet in running. Before the tournament starts, bookies pay out on a quarter for the first five places, but the each way terms lesson throughout each and every five day tournament, with win-only markets usually available during the final round. Dead heats pay out a proportion of the win or each-way return.

Many bookmakers offer several alternative bets, including the following:

• Proposition bets. These are wagers made on a very specific outcome of a match. Examples include guessing the number of goals each team scores in a soccer match, betting whether a wide receiver in a football game will net more or less than a set amount of total yardage, or wagering that a baseball player on one team will accumulate more hits than another player on the opposing team.
• Parlays. A parlay involves multiple bets (usually up to 12) and rewards successful bettors with a large payout. For example, a bettor could include four different wagers in a four-team parlay, whereby he is wagering that all four bets will win. If any of the four bets fails to cover, the bettor loses the parlay, but if all four bets win, the bettor receives a substantially higher payout (usually 10-1 in the case of a four-teamer) than if he made the four wagers separately.
• Run line, puck line or goal line bets. These are wagers offered as alternatives to straight-up/moneyline prices in baseball, hockey or soccer, respectively. These bets feature a fixed point spread that offers a higher payout for the favorite and a lower one for the underdog. For example, the above-described Cardinals/Cubs baseball game might offer a run line of St. Louis -1.5 (+100) and Chicago +1.5 (-120). A bettor taking St. Louis on the run line can avoid risking $200 to win $100 on the moneyline, but will collect only if the Cardinals win by 2 runs or more. Similarly, a run line wager on the Cubs will pay if Chicago loses by no more than a run, but it requires the bettor to risk $120 to win $100.
• Future wagers. This bet predicts a future accomplishment by a team or player. One example is a bet that a certain NFL team will win the Super Bowl for the upcoming season. Odds for such a bet generally are expressed in a ratio of units paid to unit wagered. The team wagered upon might be 50-1 to win the Super Bowl, which means that the bet will pay 50 times the amount wagered if the team does so

Sports betting is the general activity of predicting sports results by making a wager on the outcome of a sporting event. Perhaps more so than other forms of gambling, the legality and general acceptance of sports betting varies from nation to nation. In the United States, for example, sports gambling is only legal in Nevada casinos, while in many European nations bookmaking (the profession of accepting sports wagers) is highly regulated but not criminalized. Proponents of legalized sports betting generally regard it as a hobby for sports fans that increases their interest in particular sporting events, thus benefiting the leagues, teams and players they bet on through higher attendances and television audiences. Opponents fear that, over and above the general ramifications of gambling, it threatens the integrity of amateur and professional sport, the history of which includes numerous attempts by sports gamblers to fix matches, although proponents counter that legitimate bookmakers will invariably fight corruption just as fiercely as governing bodies and law enforcement do. Most sports bettors are overall losers as the bookmakers odds are fairly efficient. However, there are professional sports bettors that make a good income betting sports.

Blackjack is one of the most popular casino card games in the world. Much of blackjack’s popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting (keeping track of which cards have been played since the last shuffle). Blackjack’s precursor was vingt-et-un (“twenty-one”), which originated in French casinos around 1700, and did not offer the 3:2 bonus for a two-card 21.

When blackjack was first introduced in the United States it was not very popular, so gambling houses tried offering various bonus payouts to get the players to the tables. One such bonus was a 10-to-1 payout if the player’s hand consisted of the ace of spades and a black Jack (either the Jack of clubs or the Jack of spades). This hand was called a “blackjack” and the name stuck to the game even though the bonus payout was soon abolished. As the game is currently played, a “blackjack” may not necessarily contain a jack or any black cards at all.

Rules

Each player is dealt two cards and is then offered the opportunity to take more. The hand with the highest total wins as long as it doesn’t exceed 21; a hand with a higher total than 21 is said to bust or have too many. Cards 2 through 10 are worth their face value, and face cards (jack, queen, king) are also worth 10. An ace’s value is 11 unless this would cause the player to bust, in which case it is worth 1. A hand in which an ace’s value is counted as 11 is called a soft hand, because it cannot be busted if the player draws another card.

The goal of each player is to beat the dealer by having the higher, unbusted hand. Note that if the player busts he loses, even if the dealer also busts (therefore [tag]Blackjack[/tag] favors the dealer). If both the player and the dealer have the same point value, it is called a “push”, and neither player nor dealer wins the hand. Each player has an independent game with the dealer, so it is possible for the dealer to lose to one player, but still beat the other players in the same round.

 

 

Example of a Blackjack game. The top half of the picture shows the beginning of the round, with bets placed and an initial two cards for each player. The bottom half shows the end of the round, with the associated losses or payoffs.

The minimum bet is printed on a sign on the table and varies from casino to casino and table to table. After initial bets are placed, the dealer deals the cards, either from one or two hand-held decks of cards, known as a “pitch” game, or more commonly from a shoe containing four or more decks. The dealer gives two cards to each player, including himself. One of the dealer’s two cards is face-up so all the players can see it, and the other is face down. (The face-down card is known as the “hole card”. In European blackjack, the hole card is not actually dealt until the players all play their hands.) The cards are dealt face up from a shoe, or face down if it is a pitch game.

In American blackjack, if the dealer’s face-up card is an ace or a ten-value, the dealer checks his hole card to see if he has blackjack. This check occurs before any of the players play, but after they have been offered [tag]insurance[/tag] (if the face-up card is an ace). If the dealer has blackjack, all players lose their initial bets, except players who also have blackjack, who push. (In some American casinos, [tag]the dealer[/tag] does not actually check the hole card until after the players have all played. At that time, if the dealer turns out to have blackjack, all players who did not have blackjack lose their bets, and players who increased their bets by doubling or splitting lose only the original bet, and have the additional bets returned to them; thus, the end result is precisely as if the dealer had checked the hole card before playing.)

A two-card hand of 21 (an ace plus a ten-value card) is called a “blackjack” or a “natural”, and is an automatic winner (unless the dealer has blackjack as well, in which case the hand is a push). A player with a natural is usually paid 3:2 on his bet. Some casinos pay only 6:5 on blackjacks; although this reduced payout has generally been restricted to single-deck games where card counting would otherwise be a viable strategy. The move was decried by longtime blackjack players^[1].

The player’s options for playing his or her hand are:

• Hit: Take another card.
• Stand: Take no more cards.
• Double down: Double the wager, take exactly one more card, and then stand.
• Split: Double the wager and have each card be the first card in a new hand. This option is available only when both cards have the same value.
• Surrender: Forfeit half the bet and give up the hand. Surrender was common during the early- and mid-20th century, but is no longer offered at most casinos.

The player’s turn is over after deciding to stand, doubling down to take a single card, or busting. If the player busts, he or she loses the bet even if the dealer goes on to bust.

After all the players have finished making their decisions, the dealer then reveals his or her hidden hole card and plays the hand. House rules say that the dealer must hit until he or she has at least 17, regardless of what the players have. In some casinos a dealer must also hit a soft 17 (a combination of cards adding up to either 7 or 17, such as an ace and a 6).

If the dealer busts then all remaining players win. Bets are normally paid out at the odds of 1:1. Players who push (tie) with the dealer receive their original bet back.

Some common rules variations include:

• Only one card for split Aces: a single new card is added to each Ace and the turn ends. They are thus regarded as 11-point cards. No other denomination is subject to this process.
• Multiple splits: If a player splits 2 cards and receives a third card of identical value, the hand can be split again, resulting in 3 hands. However, some casinos only allow a single split of the first 2 cards.
• Early surrender: Player has the option to surrender before dealer checks for Blackjack.
• Late surrender: Player has the option to surrender after dealer checks for Blackjack.
• Double-down restrictions: Double-down may only be allowed on certain combinations of cards (usually totaling 9, 10 or 11).
• Double-down after split: Double-down may not be allowed after splitting cards. The split hands are played normally otherwise.
• Split any tens: Players may split any 2 cards which are both worth 10 points, such as a Jack and Queen. This rule is rarely used, since 20 is a very strong hand which is unlikely to be split.
• European No-Hole-Card Rule: the dealer receives only one card, dealt face-up, and does not receive a second card (and thus does not check for blackjack) until players have acted. This means players lose not only their original bet, but also any additional money invested from splitting and doubling down. A game that has no-hole-card doesn’t necessarily mean you will lose additional bets as well as original bets. In Australia for example, a player beaten by a dealer blackjack may keep all split and double bets and lose only the original bet, thus the game plays the same as it would if there were a hole card.

Each blackjack variation has its own set of rules, strategies and odds. It is advised to take a look at the rules of the specific variation before playing. Many countries have legal acts and laws, which determine how a casino game of Blackjack must be played.

Insurance

If the dealer’s upcard is an Ace, the player is offered the option of taking Insurance before the dealer checks his ‘hole card’.

The player who wishes to take Insurance can bet an amount up to half his original bet. The Insurance bet is placed separately on a special portion of the table, which usually carries the words “Insurance Pays 2:1″. The player who is taking Insurance is betting that the dealer was dealt a natural, i.e. a two-card 21 (a blackjack), and this bet by the player pays off 2:1 if it wins. It is called insurance since if the dealer has a blackjack, the bet wins the same amount of the player’s Blackjack wager, such that if insurance is taken and the player doesn’t have blackjack but dealer does, no money is lost. Of course the dealer can end up not having blackjack and the player can still win or lose the blackjack bet.

Insurance is a bad bet for the non-counting player who has no knowledge of the hole card because it has a house edge of 2 to 15%, depending on number of decks used and visible 10-cards ^[2]. Essentially, taking insurance amounts to betting that the dealer’s hole card is a ten or face card. Since in an infinite deck, 4/13 of the cards are tens or face cards, an unbiased insurance wager would actually pay 9:4, or 2.25:1; since the bet only pays 2:1, the house has a strong advantage. However, if the player has been counting cards, he may know that more than a third of the deck is ten-value cards, in which case insurance becomes a good bet.

If a player has a natural (an ace and a ten or face-card), the dealer usually asks the player “Even money?” This means that instead of winning 3:2 for the natural (which he would only receive if the dealer does not have blackjack), the player with the natural accepts to be paid off at 1:1 regardless of whether the dealer has blackjack. Thus it is exactly the same thing as buying Insurance: If the dealer does not have blackjack, taking “even money” is equivalent to losing the Insurance bet and getting paid 3:2 on the natural; if the dealer does have blackjack, taking “even money” is equivalent to pushing on the original bet and winning 2:1 on the insurance bet.

In casinos where a hole card is dealt, a dealer who is showing a card with a value of Ace or 10 may slide the corner of his or her facedown card over a small mirror or electronic sensor on the tabletop in order to check whether he has a natural. This practice minimizes the risk of inadvertently revealing the hole card, which would give the sharp-eyed player a considerable advantage.

Basic strategy

Because blackjack has an element of player choice, players can reduce casino advantage to a small percentage by playing basic strategy. This determines when to hit or to stand, and also determines when to double down or split. Basic strategy is based on the player’s point total and the dealer’s visible card. There are slight variations depending on the house rules and number of decks.

Your hand	Dealer’s face-up card
	2	3	4	5	6	7	8	9	10	A
Hard totals
17-20	S	S	S	S	S	S	S	S	S	S
16	S	S	S	S	S	H	H	SU	SU	SU
15	S	S	S	S	S	H	H	H	SU	H
13-14	S	S	S	S	S	H	H	H	H	H
12	H	H	S	S	S	H	H	H	H	H
11	Dh	Dh	Dh	Dh	Dh	Dh	Dh	Dh	Dh	H
10	Dh	Dh	Dh	Dh	Dh	Dh	Dh	Dh	H	H
9	H	Dh	Dh	Dh	Dh	H	H	H	H	H
5-8	H	H	H	H	H	H	H	H	H	H
Soft totals
	2	3	4	5	6	7	8	9	10	A
A,8 A,9	S	S	S	S	S	S	S	S	S	S
A,7	S	Ds	Ds	Ds	Ds	S	S	H	H	H
A,6	H	Dh	Dh	Dh	Dh	H	H	H	H	H
A,4 A,5	H	H	Dh	Dh	Dh	H	H	H	H	H
A,2 A,3	H	H	H	Dh	Dh	H	H	H	H	H
Pairs
	2	3	4	5	6	7	8	9	10	A
A,A	SP	SP	SP	SP	SP	SP	SP	SP	SP	SP
10,10	S	S	S	S	S	S	S	S	S	S
9,9	SP	SP	SP	SP	SP	S	SP	SP	S	S
8,8	SP	SP	SP	SP	SP	SP	SP	SP	SP	SP
7,7	SP	SP	SP	SP	SP	SP	H	H	H	H
6,6	SP	SP	SP	SP	SP	H	H	H	H	H
5,5	Dh	Dh	Dh	Dh	Dh	Dh	Dh	Dh	H	H
4,4	H	H	H	SP	SP	H	H	H	H	H
2,2 3,3	SP	SP	SP	SP	SP	SP	H	H	H	H

The above is a basic strategy table for 3 or more decks, dealer stands on soft 17, double on any 2 cards, double after split allowed, dealer peeks for blackjack, and blackjack pays 3:2. Key:

S = Stand

H = Hit

Dh = Double (if not allowed then hit)

Ds = Double (if not allowed then stand)

SP = Split

SU = Surrender (if not allowed, then hit)

Most Las Vegas strip casinos hit on soft 17. This rule change requires a slightly modified basic strategy table — double on 11 vs A, double on A/7 vs 2, and double on A/8 vs 6. Most casinos outside of Vegas still stand on soft 17.

“Gamble” redirects here. For other uses, see Gamble (disambiguation).

.

The term gambling has had many different meanings depending on the cultural and historical context in which it is used. Currently, in Western societies, it has an economic definition, referring to “wagering money or something of material value on an event with an uncertain outcome with the primary intent of winning additional money and/or material goods”. Typically the outcome of the wager is evident within a short period of time.

The term gaming in this context typically refers to instances in which the activity has been specifically permitted by law. The two words are not mutually exclusive; i.e.: a “gaming” company offers (legal) “gambling” activities to the public.

Legal aspects

Because many religious authorities generally disapprove of gambling to some extent, and because gambling can have adverse social consequences, most legal jurisdictions limit gambling to some extent. Some Islamic nations prohibit gambling; most other countries regulate it.^[3]

Many jurisdictions, local as well as national, either ban or heavily control (by licensing) gambling. Such regulation generally leads to gambling tourism and illegal gambling. The involvement of governments, through regulation and taxation, has led to a close connection between many governments and gaming organizations, where legal gambling provides significant government revenue, such as in Monaco or Macau.

Under US federal law, gambling is legal in the United States, and states are free to regulate or prohibit the practice. Gambling has been legal in Nevada since 1931, forming the backbone of the state’s economy, and the city of Las Vegas is perhaps the best known gambling destination in the world. In 1976, gambling was legalized in Atlantic City, New Jersey, and in 1990, it was legalized in Tunica, Mississippi; both of those cities have developed extensive casino and resort areas since then. Since a favorable US Supreme Court decision in 1987, many Native American tribes have built their own casinos on tribal lands as a way to provide revenue for the tribe. Because the tribes are considered sovereign nations, they are often exempt from state laws banning gambling, and are instead regulated under federal law.

Because contracts of insurance have many features in common with wagers, insurance contracts are often distinguished under law as agreements in which either party has an interest in the “bet-upon” outcome beyond the specific financial terms. E.g.: a “bet” with an insurer on whether one’s house will burn down is not gambling, but rather insurance — as the homeowner has an obvious interest in the continued existence of his/her home independent of the purely financial aspects of the “bet” (i.e., the insurance policy).

There is generally legislation requiring that the odds in gaming devices are statistically random, to prevent manufacturers from making some high-payoff results impossible. Since these high-payoffs have very low probability, a house bias can quite easily be missed unless checking the odds carefully.^[4]

Gambling variables

There are three variables common to all forms of gambling:

• How much is being wagered, the initial stake (in money or material goods).
• The predictability of the event.
  • In mechanical or electronic gambling such as lotteries, slot machines and bingo, the results are random and unpredictable; no amount of skill or knowledge (assuming machinery is functioning as intended) can give an advantage in predictability to anyone.
  • However, for sports events such as horse racing and soccer matches there is some predictability to the outcome; thus a person with greater knowledge and/or skill will have an advantage over others.
• The odds agreed between the two (or more) parties to the wager; where there is a house or a bookmaker, the odds are (quite legally) arranged in favour of the house.

The expected value, positive or negative, is a mathematical calculation using these three variables. The amount wagered determines the scale of an individual wager (bet); the odds and the amount wagered determine the payout if successful; the predictability determines the frequency of success. Finally the frequency of success times the payout minus the amount wagered equals the “expected value” The skill of a gambler lies in understanding and maneuvering the three variables so that the “actual value” is positive over a series of wagers.

Blackjack.

Types of gambling

Casino games

While almost any game can be played for money, and any game typically played for money can also be played just for fun, some games are generally offered in a casino setting.

“Beatable” casino games

A highly skilled player with a well-designed strategy can create a positive mathematical expectation on games such as:

• Blackjack—with card counting unless a continuous shuffler is used
• Pai Gow Poker and Tiles—player-dealt
• Parimutuel betting
• Poker (Also recognized as a game of skill)
• Slot machines—where progressive jackpots or bonuses reach a certain break-even point
• Sports betting
• Video poker—with proper pay table and/or progressive jackpot

“Unbeatable” casino games

A pachinko parlor in Tokyo, Japan.

These games have a negative expectation regardless of how few or many games someone plays. Nevertheless, this does not stop gamblers from having false beliefs (the “gambler’s fallacy”) that their actions or “way of playing” will influence the outcome.

• Baccarat (punto banco)
• Caribbean Stud Poker
• Casino war
• Craps (though some believe the use of dice control can beat the game)
• Fan-Tan
• Faro
• Keno
• Let it ride
• Pachinko
• Pyramid Poker
• 3-card poker
• 4-card poker
• Red Dog
• Roulette
• Sic Bo
• Spanish 21—without counting
• Texas Hold’em Bonus Poker

Non-casino gambling games

Mahjong tiles.

Gambling games that take place outside of casinos include Bingo (as played in the US and UK), dead pool, lotteries, pull-tab games and scratchcards, and Mahjong.

Other non-casino gambling games include:

• Card games, such as Liar’s poker, Bridge, Basset, Lansquenet, Piquet, Put, Teen patti
• Coin-tossing games such as Head and Tail, Two-up
• Confidence tricks such as Three-card Monte or the Shell game
• Carnival Games such as The Razzle or Hanky Pank
• Dice-based games, such as Backgammon, Liar’s dice, Passe-dix, Hazard, Threes, Pig, or Mexico

Fixed-odds gambling

Fixed-odds gambling and Parimutuel betting frequently occur at many types of sporting events. In addition many bookmakers offer fixed odds on a number of non-sports related outcomes, for example the direction and extent of movement of various financial indices, the winner of television competitions such as Big Brother, election results,^[5]. Interactive prediction markets also offer trading on these outcomes, with “shares” of results trading on an open market.

Parimutuel betting

Tokyo Racecourse in Tokyo, Japan.

Main article: Parimutuel betting

One of the most widespread forms of gambling involves betting on horse or greyhound racing. Wagering may take place through parimutuel pools; or bookmakers may take bets personally. Parimutuel wagers pay off at prices determined by support in the wagering pools, while bookmakers pay off either at the odds offered at the time of accepting the bet; or at the median odds offered by track bookmakers at the time the race started.

Sports betting

Main article: sports betting

Betting on team sports has become an important service industry in many countries. For example, millions of Britons play the football pools every week.

Arbitrage betting

Main article: arbitrage betting

Arbitrage betting is a theoretically risk-free betting system in which every outcome of an event is bet upon so that a known profit will be made by the bettor upon completion of the event, regardless of the outcome. Arbitrage betting is a combination of the ancient art of arbitrage trading and gambling, which has been made possible the large numbers of bookmakers in the marketplace, creating occasional opportunities for arbitrage.

Other types of betting

One can also bet with another person that a statement is true or false, or that a specified event will happen (a “back bet”) or will not happen (a “lay bet”) within a specified time. This occurs in particular when two people have opposing but strongly-held views on truth or events. Not only do the parties hope to gain from the bet, they place the bet also to demonstrate their certainty about the issue. Some means of determining the issue at stake must exist. Sometimes the amount bet remains nominal, demonstrating the outcome as one of principle rather than of financial importance.

Betting exchanges allow consumers to both back and lay at odds of their choice. Similar in some ways to a stock exchange, a better may want to back a horse (hoping it to win) or lay a horse (hoping it to lose, effectively acting as bookmaker)

Staking systems

Main article: betting strategy

Many betting systems have been created in an attempt to “beat the bookie” but most still accept that no system can make an unprofitable bet profitable over time. Widely-used systems include:

• Fixed stakes – a traditional system of staking the same amount on each selection.
• Fixed profits – the stakes vary based on the odds to ensure the same profit from each winning selection.
• Due-column betting – A variation on fixed profits betting in which the bettor sets a target profit and then calculates a bet size that will make this profit, adding any losses to the target.
• Kelly – the optimium level to bet to maximize your future median bank level.
• Martingale – A system based on staking enough each time to recover losses from previous bet(s) until one wins.

Other uses of the term “gambling”

Many risk-return choices are sometimes referred to colloquially as “gambling.” Whether this terminology is acceptable is a matter of debate, but generally the following activities are not considered gambling:

• Emotional or physical risk-taking, where the risk-return ratio is not quantifiable (e.g., skydiving, campaigning for political office, asking someone for a date, etc.)
• Insurance is a method of shifting risk from one party to another. Insurers use actuarial methods to calculate appropriate premiums, which could be considered similar to calculating gambling odds. However, insurers can set their premiums to obtain a long term positive expected return.
• Situations where the possible return is a secondary reason for the wager/purchase (e.g., buying a raffle ticket to support a charitable cause)

Investments are also usually not considered gambling, although some investments can involve significant risk. Examples of investments include stocks, bonds and real estate. Starting a business can also be considered a form of investment. Investments are generally not considered gambling when they meet the following criteria:

• Positive expected returns (at least in the long term)
• Economic utility
• Underlying value independent of the risk being undertaken

Some speculative investment activities are particularly risky, but are still usually considered separately from gambling:

• Securities derivatives, such as options or futures, where the value of the derivative is dependent on the value of the underlying asset at a specific point in time (typically the derivative’s associated expiration date)
• Foreign currency exchange (forex) transactions
• Prediction markets

[tag]Rory Sabbatini[/tag] carded a second consecutive 67 to take a two-shot lead into the weekend at the WGC Bridgestone Invitational in Akron, Ohio.

While fellow overnight leaders [tag]Paul Casey[/tag] and [tag]Hunter Mahan[/tag] struggled in difficult conditions over the [tag]Firestone Country Club[/tag]’s testing par-70 South Course layout to record three-over-par rounds of 73, Sabbatini produced a strong finish to surge into the halfway lead on six under par.

Sabbatini revealed it was a patient approach that paid off, saying: “It’s a matter of picking and choosing your targets. There are opportunities that you have that you can be aggressive but you have to kind of back down and just give the course respect, otherwise it’ll hit you pretty quickly.

“I didn’t quite hit the ball as well as I did yesterday. I hit a couple more drives in that that hay they call rough out there but it was a little more of a grind, a little more work. I think the positive thing I can take out of it is that I did battle out there today and came out on top.”

—
Sweden’s [tag]Per-Ulrik Johansson[/tag] will take a four-shot lead into the final round of the Russian Open in Moscow.

Johansson carded a third-round 67 for an 18-under total of 198, maintaining the lead forged by a brilliant 62 on Friday.

Holland’s [tag]Robert-Jan Derksen[/tag] returned a 65 to move into second place on 14 under, one ahead of Canada-based Scot Alan McLean.

England’s Adam Gee and Ireland’s [tag]Gary Murphy[/tag] share fourth place a stroke further back.

Stanford mathematicians and 1 community college drop out discuss odds at a all you can eat buffet in the Rio Hotel (Las Vegas). Monzy plays the perfect sqaures while Doc sticks to numbers divideable by eleven. Given the odds, if you bet $100,000 your estimated return is $96,000. It’s like racing in the special olympics; even if you win… Note, the cats from Purdue were way too smart to play Keno. Video features Monzy and his live band (John and Paul), Doctor Popular (aka Drown Radio), Theresa, Lord Illingworth, and MC Plus+.

[tag]Keno[/tag] is a popular bingo/lottery type game that can be found in a variety of locations – land based and internet casinos, lottery outlets and bingo halls. Keno is easy to play requiring the player to select numbers to be matched with those drawn by the house. The house advantage in Keno is usually very high (25%+) although in some rare circumstances a very large progressive jackpot can offer players an edge.