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2. Kelly criterion - Wikipedia

   en.wikipedia.org/wiki/Kelly_criterion

   Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.

3. Gambling mathematics - Wikipedia

   en.wikipedia.org/wiki/Gambling_mathematics

   The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.

4. Parimutuel betting - Wikipedia

   en.wikipedia.org/wiki/Parimutuel_betting

   Parimutuel betting. Parimutuel betting or pool betting is a betting system in which all bets of a particular type are placed together in a pool; taxes and the "house-take" or "vigorish" are deducted, and payoff odds are calculated by sharing the pool among all winning bets. In some countries it is known as the tote after the totalisator, which ...

5. Arbitrage betting - Wikipedia

   en.wikipedia.org/wiki/Arbitrage_betting

   Arbitrage betting. Betting arbitrage ("sure bets", sports arbitrage) is an example of arbitrage arising on betting markets due to either bookmakers' differing opinions on event outcomes or errors. When conditions allow, by placing one bet per each outcome with different betting companies, the bettor can make a profit regardless of the outcome.

6. Spread betting - Wikipedia

   en.wikipedia.org/wiki/Spread_betting

   Spread betting. Spread betting is any of various types of wagering on the outcome of an event where the pay-off is based on the accuracy of the wager, rather than a simple "win or lose" outcome, such as fixed-odds (or money-line) betting or parimutuel betting. A point spread is a range of outcomes and the bet is whether the outcome will be ...

7. Odds - Wikipedia

   en.wikipedia.org/wiki/Odds

   In probability theory, odds provide a measure of the probability of a particular outcome. Odds are commonly used in gambling and statistics. For example for an event that is 40% probable, one could say that the odds are "2 in 5", "2 to 3 in favor", or "3 to 2 against". When gambling, odds are often given as the ratio of the possible net profit ...

8. Martingale (betting system) - Wikipedia

   en.wikipedia.org/wiki/Martingale_(betting_system)

   Martingale (betting system) A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses if it comes up tails. The strategy had the gambler double the bet after every loss ...

9. Mathematics of bookmaking - Wikipedia

   en.wikipedia.org/wiki/Mathematics_of_bookmaking

   Mathematics of bookmaking. In gambling parlance, making a book is the practice of laying bets on the various possible outcomes of a single event. The phrase originates from the practice of recording such wagers in a hard-bound ledger (the 'book') and gives the English language the term bookmaker for the person laying the bets and thus 'making ...