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- Odds abstract "Odds are a numerical expression, always consisting of a pair of numbers, used in both gambling and statistics. In statistics, odds for reflect the likelihood that a particular event will take place. Odds against reflect the likelihood that a particular event will not take place. The usages of the term among statisticians and probabilists on the one hand, versus in the gambling world on the other hand, are not consistent with each other (with the exception of horse racing). Conventionally, gambling odds are expressed in the form "X to Y", where X and Y are numbers, and it is implied that the odds are odds against the event on which the gambler is considering wagering. In both gambling and statistics, the 'odds' are a numerical expression of how likely some possible future event is.In gambling, odds represent the ratio between the amounts staked by parties to a wager or bet. Thus, odds of 6 to 1 mean the first party (normally a bookmaker) is staking six times the amount that the second party is. Thus, gambling odds of '6 to 1' mean that there are six possible outcomes in which the event will not take place to every one where it will. In other words, the probability that X will not happen is six times the probability that it will.In statistics, the odds for an event E are defined as a simple function of the probability of that possible event E. One drawback of expressing the uncertainty of this possible event as odds for is that to regain the probability requires a calculation. The natural way to interpret odds for (without calculating anything) is as the ratio of events to non-events in the long run. A simple example is that the (statistical) odds for rolling six with a fair die (one of a pair of dice) are 1 to 5. This is because, if one rolls the die many times, and keeps a tally of the results, one expects 1 six event for every 5 times the die does not show six. For example, if we roll the fair die 600 times, we would very much expect something in the neighborhood of 100 sixes, and 500 of the other five possible outcomes. That is a ratio of 100 to 500, or simply 1 to 5. To express the (statistical) odds against, the order of the pair is reversed. Hence the odds against rolling a six with a fair die are 5 to 1. The probability of rolling a six with a fair die is the single number 1/6 or approximately 16.7%.The gambling and statistical uses of odds are closely interlinked. If a bet is a fair one, as in a wager between friends, then the odds offered to the gamblers will perfectly reflect relative probabilities. A fair bet that a fair die will roll a six will pay the gambler $5 for a $1 wager (and return the bettor his or her wager) in the case of a six and nothing in any other case. The terms of the bet are fair, because on average, five rolls result in something other than a six, at a cost of $5, for every roll that results in a six and a net payout of $5. The profit and the expense exactly offset one another and so there is no disadvantage to gambling over the long run. If the odds being offered to the gamblers do not correspond to probability in this way then one of the parties to the bet has an advantage over the other. Casinos, for example, offer odds that place themselves at an advantage, which is how they guarantee themselves a profit and survive as businesses. The fairness of a particular gamble is more clear in a game involving relatively pure chance, such as the ping-pong ball method used in state lotteries in the United States. It is much harder to judge the fairness of the odds offered in a wager on a sporting event such as a football match.".
- Odds wikiPageID "172069".
- Odds wikiPageLength "28435".
- Odds wikiPageOutDegree "84".
- Odds wikiPageRevisionID "683204525".
- Odds wikiPageWikiLink 1_(number).
- Odds wikiPageWikiLink Alternative_rock.
- Odds wikiPageWikiLink Australia.
- Odds wikiPageWikiLink Bayes_factor.
- Odds wikiPageWikiLink Bayesian_statistics.
- Odds wikiPageWikiLink Bean_machine.
- Odds wikiPageWikiLink Bernoulli_trial.
- Odds wikiPageWikiLink Betting_exchange.
- Odds wikiPageWikiLink Betting_exchanges.
- Odds wikiPageWikiLink Bookmaker.
- Odds wikiPageWikiLink Canada.
- Odds wikiPageWikiLink Cardano.
- Odds wikiPageWikiLink Category:Probability_theory.
- Odds wikiPageWikiLink Category:Statistical_ratios.
- Odds wikiPageWikiLink Category:Statistical_terminology.
- Odds wikiPageWikiLink Category:Wagering.
- Odds wikiPageWikiLink Circular_transform.
- Odds wikiPageWikiLink Clinical_trial.
- Odds wikiPageWikiLink Coin_flipping.
- Odds wikiPageWikiLink Coin_toss.
- Odds wikiPageWikiLink Colon_(punctuation).
- Odds wikiPageWikiLink Denominator.
- Odds wikiPageWikiLink Dice.
- Odds wikiPageWikiLink Equally_likely_outcomes.
- Odds wikiPageWikiLink Europe.
- Odds wikiPageWikiLink Even_money.
- Odds wikiPageWikiLink Event_(probability_theory).
- Odds wikiPageWikiLink Fair_value.
- Odds wikiPageWikiLink Fraction_(mathematics).
- Odds wikiPageWikiLink Galton_box.
- Odds wikiPageWikiLink Gambler.
- Odds wikiPageWikiLink Gambling.
- Odds wikiPageWikiLink Gambling_mathematics.
- Odds wikiPageWikiLink Gaming_mathematics.
- Odds wikiPageWikiLink Gerolamo_Cardano.
- Odds wikiPageWikiLink Group_action.
- Odds wikiPageWikiLink Heads_or_tails.
- Odds wikiPageWikiLink Henry_IV,_Part_2.
- Odds wikiPageWikiLink Henry_IV,_Part_II.
- Odds wikiPageWikiLink Horse_racing.
- Odds wikiPageWikiLink Hyphen.
- Odds wikiPageWikiLink Integer.
- Odds wikiPageWikiLink Intuition.
- Odds wikiPageWikiLink Intuition_(knowledge).
- Odds wikiPageWikiLink Ireland.
- Odds wikiPageWikiLink Log-odds.
- Odds wikiPageWikiLink Logistic_regression.
- Odds wikiPageWikiLink Logit.
- Odds wikiPageWikiLink Lowest_common_denominator.
- Odds wikiPageWikiLink Match_race.
- Odds wikiPageWikiLink Match_racing.
- Odds wikiPageWikiLink Mathematics_of_bookmaking.
- Odds wikiPageWikiLink Multiplicative_inverse.
- Odds wikiPageWikiLink Möbius_transformation.
- Odds wikiPageWikiLink New_Zealand.
- Odds wikiPageWikiLink Numerator.
- Odds wikiPageWikiLink Odds_algorithm.
- Odds wikiPageWikiLink Odds_ratio.
- Odds wikiPageWikiLink Optimal_stopping.
- Odds wikiPageWikiLink Outcome_(probability).
- Odds wikiPageWikiLink Parabolic_transform.
- Odds wikiPageWikiLink Parlay_(gambling).
- Odds wikiPageWikiLink Probability.
- Odds wikiPageWikiLink Probability_theory.
- Odds wikiPageWikiLink Proposition.
- Odds wikiPageWikiLink Random_variable.
- Odds wikiPageWikiLink Ratio.
- Odds wikiPageWikiLink Rational_number.
- Odds wikiPageWikiLink Sample_space.
- Odds wikiPageWikiLink Sharply_multiply_transitive.
- Odds wikiPageWikiLink Slash_(punctuation).
- Odds wikiPageWikiLink Sports_information_service.
- Odds wikiPageWikiLink Spread_betting.
- Odds wikiPageWikiLink Statistical_Soccer_(Football)_Predictions.
- Odds wikiPageWikiLink Statistical_association_football_predictions.
- Odds wikiPageWikiLink Statistics.
- Odds wikiPageWikiLink Tipster.
- Odds wikiPageWikiLink Uncertainty.
- Odds wikiPageWikiLink United_Kingdom.
- Odds wikiPageWikiLink Unity_(mathematics).
- Odds wikiPageWikiLink Vigorish.
- Odds wikiPageWikiLink Wager.
- Odds wikiPageWikiLink William_Shakespeare.
- Odds wikiPageWikiLinkText "1-in-20".
- Odds wikiPageWikiLinkText "10/1".
- Odds wikiPageWikiLinkText "100/8".
- Odds wikiPageWikiLinkText "2/1 favourite".
- Odds wikiPageWikiLinkText "2/1 on".
- Odds wikiPageWikiLinkText "20/1".
- Odds wikiPageWikiLinkText "3–2".
- Odds wikiPageWikiLinkText "4/1".
- Odds wikiPageWikiLinkText "40/1".
- Odds wikiPageWikiLinkText "50/1".
- Odds wikiPageWikiLinkText "500/1".
- Odds wikiPageWikiLinkText "50:50".