What Is the Kelly Criterion in Betting? | WGT

What is the Kelly Criterion?

Quick answer
The Kelly criterion is a staking formula that sizes a bet from your edge and the odds. Kelly fraction = (b x p minus q) / b, where b is decimal odds minus 1, p is your win probability and q is 1 minus p. Because p is an estimate, most bettors stake a fraction of full Kelly.
Written by the Wise Guy Desk, reviewed by Ross Thornton. Page content last changed August 6, 2026.

The Kelly Criterion is a staking formula that sizes each bet in proportion to your edge and the odds, aiming to grow a bankroll as fast as possible without risking ruin. The bigger your advantage on a bet, the more Kelly tells you to stake; with no edge, it stakes nothing.

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Reviewed by Ross Thornton, professional sports handicapper

How do you calculate the Kelly criterion?

Definition. The Kelly criterion is the bankroll fraction that maximizes long-run growth for a bet with a known edge.

Worked example. At +100 odds (b = 1) with a 55 percent win chance (p = 0.55, q = 0.45), Kelly = (1 x 0.55 minus 0.45) / 1 = 0.10, or 10 percent of bankroll. Quarter Kelly would be 2.5 percent of bankroll.

  1. Convert the odds: b = decimal odds minus 1 (+100 gives b = 1).
  2. Estimate p and compute q = 1 minus p.
  3. Compute (b x p minus q) / b, then scale it down (half or quarter Kelly) to allow for estimate error.

How Kelly works

Kelly outputs the fraction of your bankroll to bet. The formula is edge divided by odds: (bp - q) / b, where b is the decimal payout minus one, p is your win probability and q is 1 minus p. A real edge produces a positive fraction; no edge produces zero, which is Kelly's way of saying do not bet.

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A worked example

Suppose a bet pays even money (b = 1) and you believe you win 55 percent of the time. Kelly says stake (1 x 0.55 - 0.45) / 1 = 0.10, or 10 percent of your bankroll. Because full Kelly is aggressive and your probability estimate is never exact, most bettors use half or quarter Kelly to cut swings.

Why bettors use fractional Kelly

Full Kelly maximizes growth in theory but produces stomach-churning swings and punishes overconfident estimates hard. Half Kelly keeps most of the growth with far less volatility. In practice, disciplined bettors combine a Kelly-style sizing with a simple unit cap so no single play, however confident, can put too much of the bankroll at risk.

In the Wise Guy tools

Kelly stake

A way to size each bet from its edge and price: bigger edge, bigger bet. We default to 1/4 Kelly because full Kelly swings hard.

Example: $1,000 bankroll, a 3% edge at +100: full Kelly is $30, 1/4 Kelly is about $7.50.

How our tools use it: A staking rule that sizes each bet from the estimated edge and the fee-net price. Full Kelly swings hard, so the default is 1/4 Kelly (1/8, 1/2 and Full are options). Stakes are per bet and bets on the same game are not combined. A price that is not actionable gets no stake.

Stake modes

How each bet is sized when the results are added up: the same size every time, or the board's own suggested stake.

Example: Flat 1 unit bets $100 every time on a $10,000 bankroll; 1/4 Kelly bets more on bigger edges.

How our tools use it: Flat 1 unit: every bet the same size. 1/4 Kelly: each bet at the board's own suggested stake when it was flagged (a quarter of the Kelly stake, sized on the starting bankroll, no compounding; 1 unit = 1% of bankroll). Your bankroll: the 1/4 Kelly result in dollars on the bankroll saved in your tools settings.

Frequently asked questions

Is the Kelly Criterion better than flat betting?

It grows a bankroll faster when your edge estimates are accurate, but it swings harder. Many bettors use fractional Kelly or a unit system to balance growth and safety.

What does Kelly say to bet with no edge?

Zero. If a bet has no positive expected value, the Kelly fraction is zero or negative, meaning you should not place it.

Your next step

  1. 1Learn itKelly Criterion (this page)
  2. 2Apply itHow to win at sports betting →
  3. 3Run itBankroll Management →
  4. 4Master itDay 11: The 1-10 unit bankroll system →

Related terms

Unit
A unit is a standard bet size expressed as a fixed share of your bankroll, most often 1 percent.
Expected Value (+EV)
Expected value, or EV, is the average amount a bet would win or lose if you placed it many times over.
Closing Line Value (CLV)
Closing line value, or CLV, measures whether the price you got on a bet was better than the closing line, the final odds right before the event starts.
ROI (Return on Investment)
ROI in sports betting, short for return on investment, is the profit you made divided by the amount you risked, shown as a percentage.

21+. For entertainment and educational purposes, not financial advice. If gambling stops being fun, take a break. 1-800-GAMBLER. Regulated US books only.

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How to use the EV and Kelly calculator

  1. Enter the odds the book offers.
  2. Enter your honest estimate of the win probability.
  3. Read the expected value per 100 and the Kelly fraction.
  4. Size the bet at a fraction of Kelly. Your probability is an estimate, and the stake should respect that.

Worked example: expected value and the Kelly stake

Say you estimate a side wins 55% of the time and the book offers -110. A winning $100.00 bet returns $90.91; a loser costs $100.00.

Expected value per $100.00: 0.55 x $90.91 minus 0.45 x $100.00 = $5.00. Full Kelly is (b x p minus q) divided by b, with b = 0.9091: 5.5% of bankroll. Most bettors use a fraction of that (half or a quarter) because the 55% is an estimate, and an estimate that is a little high turns full Kelly into over-betting.

The numbers above are an illustration of the math, not a prediction or a result.

Common questions

What is the Kelly criterion?

A staking formula that maximizes long-run growth: stake the fraction of bankroll equal to your edge divided by the odds.

Why use half Kelly?

Full Kelly assumes your probability is exact. Betting half or a quarter cuts the swings and the damage from an over-optimistic estimate.

What if the Kelly number is zero or negative?

Then the bet has no edge at that price. Do not bet it.