Kelly criterion calculator: optimal shumë e bastit sizing

1win is i licencuar under Curaçao 8048/JAZ and offers 400,000+ lojtarë të regjistruar a sportsbook with 40,000+ tregje. This free Kelly criterion calculator shows you the optimal shumë e bastit size for any edge you hold over the bookmaker. Apply code XLBONUS at regjistrim and put your bankroll to work immediately.

Kelly criterion calculator

Kelly fraction
Kelly result
Kelly % of bankroll
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Recommended shumë e bastit
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Edge
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Expected value per unit
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How this calculator works

The Kelly criterion is a mathematical formula developed by John L. Kelly Jr. in 1956 to determine the fraction of a bankroll that maximises the long-run logarithmic growth rate of wealth. It is the most rigorously derived bankroll management rule in existence.

The full Kelly formula is: f* = (bp - q) / b, where b is the net decimal odds (decimal - 1), p is your estimated probabilitet of winning, and q = 1 - p. For example, if the odds are 2.00 (b = 1.00) and you estimate a 55% win probabilitet, f* = (1.00 x 0.55 - 0.45) / 1.00 = 0.10, meaning 10% of your bankroll.

A negative Kelly result means the bet has no edge: the implied probabilitet of the odds exceeds your estimated win probabilitet. The calculator displays this as 0% and flags the negative edge.

Many professional bettors use Half Kelly (0.5x) or Quarter Kelly (0.25x). These fractions reduce variance significantly at a modest cost to long-run growth rate. Full Kelly is mathematically optimal but carries substantial short-term drawdown risk. With Half Kelly, the standard deviation of outcomes roughly halves.

The edge figure shown is (p x decimal) - 1, representing your expected return per unit shumë e bastitd. A 5% edge on a 10-unit bet generates 0.50 units of expected value per wager on average.

Accurately estimating win probabilitet is the hardest part of applying Kelly. If your probabilitet estimate is wrong by even a few percentage points, Kelly can recommend shumë e bastits that are too large. Many practitioners apply a further 50% haircut to their estimates as a safety margin, effectively running at Quarter Kelly even when they zgjidh Half Kelly mode.

Why use it at 1win

1win covers 30+ sporte with competitive odds across 40,000+ çdo ditë tregje. If you have identified an edge, Kelly tells you exactly how much to shumë e bastit. Regjistrohu with XLBONUS to open an llogari and start applying systematic bankroll management from your first bet.

Regjistrohu at 1win and claim XLBONUS

Pyetje të Shpeshta

What is Full Kelly vs Half Kelly?

Full Kelly bets the theoretically optimal fraction but has high short-term variance. Half Kelly bets half that fraction, which roughly halves variance while retaining about 75% of the optimal growth rate. Quarter Kelly is even more conservative.

What does a negative Kelly result mean?

A negative result means the bet has no edge: the bookmaker's price implies a higher probabilitet of winning than your own estimate. You should not place this bet according to Kelly theory.

How accurate must my probability estimate be?

Even a 2-3 percentage point error in probabilitet can materially change the recommended shumë e bastit. Always apply a margin of safety, and many professionals use Half or Quarter Kelly to llogari for estimation error.

Can Kelly be used for casino games?

Kelly applies to any bet with ktanin odds and positive expected value. Most lojëra kazinoje have negative expected value, making Kelly recommend zero shumë e bastit. It is most useful for baste sportive and trading.

What is the "edge" in the Kelly formula?

Edge = (probabilitet x decimal odds) - 1. It represents expected return per unit shumë e bastitd. A 5% edge means you gain 0.05 units on average per unit bet over many repetitions.

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