Kelly Calculator
The Kelly Calculator tells you how much of your bankroll to wager on a bet based on your edge. The Kelly Criterion is a mathematical formula that maximizes long-term bankroll growth by sizing bets proportionally to your advantage. The tool shows three fractions — Full, Half, and Quarter Kelly — so you can choose the aggression level that fits your risk tolerance.
This tool is available to all users at Tools > Kelly Calculator (/tools/kelly-calculator). All calculations run entirely in your browser.
How to Use
Section titled “How to Use”Enter your inputs in the calculator form:
| Input | Label | Description |
|---|---|---|
| Odds Format | Odds Format | Choose between American, Decimal, or Fractional. Your selection is saved to localStorage and shared across all calculator tools. |
| Odds | Odds | Enter the sportsbook odds for your bet. When Fractional is selected, two input fields appear separated by a / divider. |
| Win Probability | Win Probability (%) | Your estimated probability that the bet wins, from 0 to 100. The implied probability from the odds is shown as a hint below the field. |
| Bankroll | Bankroll ($) | Your total bankroll in dollars. Used to convert percentages into dollar amounts. |
Results update instantly as you change any input.
Understanding the Results
Section titled “Understanding the Results”When your estimated probability gives you an edge over the implied odds (Kelly > 0), you see three rows:
| Output | Label | Description |
|---|---|---|
| Quarter Kelly | Conservative | The smallest recommended stake. Shows the percentage of bankroll and the dollar amount. Best for bettors who want minimal variance. |
| Half Kelly | Recommended | The middle ground. Captures most of the growth benefit with significantly less volatility than Full Kelly. |
| Full Kelly | Aggressive | The mathematically optimal fraction for maximum long-term growth. High variance — only for bettors comfortable with large swings. |
When there is no edge (Kelly is zero or negative), the calculator displays a red No Bet card with the message: “No edge detected at these odds and probability.” This means the sportsbook odds already price in more probability than your estimate — there is no value in placing this bet.
A Show Math collapsible section displays the full formula with your actual numbers substituted in.
How It Works
Section titled “How It Works”The Kelly Criterion formula is:
f* = (b x p - q) / bWhere:
f*= fraction of bankroll to wager (Full Kelly)b= decimal odds - 1 (the net profit per dollar wagered)p= your estimated win probabilityq= 1 - p (loss probability)
The fractional variants are:
- Half Kelly =
f* / 2 - Quarter Kelly =
f* / 4
If f* is zero or negative, the formula says “do not bet” because you have no mathematical edge.
- The Kelly formula is only as good as your probability estimate. If you overestimate your win probability, you will overbet.
- Never bet more than Full Kelly. Overbetting (even slightly) turns long-term growth into long-term ruin.
- Use the EV Calculator first to confirm the bet has positive expected value, then come here to size it.
- Start with Quarter Kelly if you are new to bankroll management. You can move to Half Kelly as you gain confidence in your probability estimates.
- The bankroll field should reflect your actual betting bankroll, not your total savings. Only risk money you have set aside specifically for betting.