Betting on March Madness Mathematicians Show Randomly Guessing NCAA Outcome Is Extremely Improbable. March 1, 2006 — Combinatorics calculates that randomly
This difference is statistically significant (p-value=0.0002) and provides strong support for the long shot bias in the NCAA basketball betting market
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A Calcutta auction is an open auction held in conjunction with a golf tournament,[1] horse race or similar contest with multiple entrants. It is popular in backgammon and NCAA Basketball pools during March Madness.
Bidding for each contestant begins in random order, with only one contestant being bid upon at any time. Accordingly, participants (originally in Calcutta, India, from where this technique was first recorded by the Colonial British) bid among themselves to "buy" each of the contestants, with each contestant being assigned to the highest bidder. The contestant will then pay out to the owner a predetermined proportion of the pool depending on how it performs in the tournament. While variations in payoff schedules exist, in an NCAA Basketball tournament (64 teams, single elimination) the payoffs could resemble the following schedule: 1 win - 0.25%, 2 wins - 2%, 3 wins - 4%, 4 wins - 8%, 5 wins - 16%, tournament winner with 6 wins - 32%.
An interesting element of Calcutta auctions is in determining an appropriate wager for each contestant, as the payoff will directly hinge on the size of the pot and thereby the size of the bids being placed. Thus the value of each team fluctuates during the course of the betting. For example, even if a bidder knew the Tar Heels would be the tournament winner and thus pay out 32% of the pool, she would still be unsure of the exact value of the team (unless it was the last team being bid on) since the payout depends on the sum total of all winning bids, i.e. the final size of the pool.
This is similar to parimutuel betting, in that the winnings are awarded from the total pool of bets, but differs in that only one player can bet on any one contestant. However, a player may purchase as many contestants as they desire.
One variation that has grown as the Calcutta Auction is used more in conjunction with March Madness involves bidding on teams in the reverse order of their seeds instead of random order. As bidding evolves, this aids bidders in estimating the final pot size since the heavily favored teams that command the highest bids are auctioned at the end, thereby limiting the risk on the larger bets.
In the game, the player chooses a basketball team and then plays against either a computer or human player on a court. The goal is to score the most baskets within the given time through dribbling and passing. Players also have the ability to save the game as well as change options and difficulty settings.
The game allows the player to play either an exhibition game or a full season.
The U.S. version of the game contains college teams from five major NCAA Division I-A conferences (see below), while the European game features fictional professional teams located throughout the world.
NCAA Basketball was the first 3D basketball game for a console. It used the Super Nintendo's Mode 7 to create a 3D players' perspective that is now the standard for basketball video games.
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, the Professional and Amateur Sports Protection Act of 1994 makes illegal to operate a "betting, gambling or wagering scheme", except for in the states of Delaware, Nevada, and Oregon. Nevada, however, is the only state currently allowing sports gambling, 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.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 adversaries 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 association football, 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 Milwaukee Brewers and Chicago Cubs might have a moneyline on Milwaukee (the favorite) at -200 and Chicago (the underdog) at +180. A bettor looking to take Milwaukee 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 Kansas state as a 27 point favorite (quoted as Kansas State -27, or Kansas +27):
If Kansas State defeats Kansas by more than 27 points, they have covered the spread and bettors on Kansas State would receive $100 on a $110 bet. Kansas bettors lose the $110 they wagered. If Kansas defeats Kansas State, bettors on Kansas would receive $100 on a $110 bet. Kansas 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 Kansas 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 Kansas 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, he 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.
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