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Fractional odds are written a − b (a/b or a to b), meaning a winning bettor will receive their money back plus a units for every b units they bet. Decimal odds are a single value, greater than 1, representing the amount to be paid out for each unit bet. For example, a bet of £40 at 6 − 4 (fractional odds) will pay out £40 + £60 = £100.
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.
In statistics, an effect size is a value measuring the strength of the relationship between two variables in a population, or a sample-based estimate of that quantity. It can refer to the value of a statistic calculated from a sample of data, the value of one parameter for a hypothetical population, or to the equation that operationalizes how statistics or parameters lead to the effect size ...
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Some horse racing betting systems can be based on pure statistical analysis of the odds, while others also analyze 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 ...
A Dutch or an arb is profitable if the sum of the reciprocals of the decimal odds of each selection is less than 1, and each bet is sized such that the payout in each outcome are the same. Additionally, the profitability of a Dutch/arb can be expressed as 1-R, where R is the sum of the reciprocals. [2]
This means the bettor must have over 65,500 (2^15-1 for their 15 losses and 2^15 for their 16th streak-ending winning bet) times their original bet size. Thus, a player making 10 unit bets would want to have over 655,000 units in their bankroll (and still have a ~5.5% chance of losing it all during 5,000 plays).
'The whole market cratered and I was protected': Mark Cuban once revealed how he kept his $1.4B fortune safe from the 2000 dot-com crash — 3 ways to prep for a US economic downturn