A betting strategy (also known as betting system) is a structured approach to gambling, in the attempt to produce a profit. To be successful, the system must change the house edge into a player advantage — which is impossible for pure games of probability with fixed odds, akin to a perpetual motion machine.^{[1]} Betting systems are often predicated on statistical analysis.
Mathematically, no betting system can alter longterm expected results in a game with random, independent trials, although they can make for higher odds of shortterm winning at the cost of increased risk, and are an enjoyable gambling experience for some people. Strategies which take into account the changing odds that exist in some games (e.g. card counting and handicapping), can alter longterm results.^{[1]}^{[2]}^{[3]}
This is formally stated by game theorist Richard Arnold Epstein in The Theory of Gambling and Statistical Logic as:
Theorem 1: If a gambler risks a finite capital over a large number of plays in a game with constant singletrial probability of winning, losing, and tying, then any and all betting systems lead ultimately to the same value of mathematical expectation of gain per unit amount wagered.^{[1]}
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Transcription
Contents
Examples
Common betting systems include:
 Card games – Card counting
 Roulette – Martingale
 Sports – Handicapping
 Martingale
 Kelly criterion
 Split martingale
 Antimartingale
 d'Alembert
 Oscar's grind
Horse racing
Some Horse racing betting systems can be based on pure statistical analysis of the odds, while others also analysis of physical factors (e.g. the horses' form, jockey form and lane draw). Common forms of betting systems for horse racing are:
 hedging betting on multiple outcomes in a race
 arbitrage lay the horse a low price and back it at a high price
See also
References
 ^ ^{a} ^{b} ^{c} Epstein, Richard A. (20140628). The Theory of Gambling and Statistical Logic, Revised Edition. Gulf Professional Publishing. p. 53. ISBN 9780080571843.
 ^ Shackleford, Michael. "The Truth about Betting Systems  Wizard of Odds". wizardofodds.com. Retrieved 20171009.
 ^ Burrell, Brian (1998). MerriamWebster's Guide to Everyday Math: A Home and Business Reference. MerriamWebster. p. 226. ISBN 9780877796213.