Esports Betting / Betting Calculators / Kelly Criterion Calculator

Kelly Criterion Calculator

Last Updated on 10/07/2026
Fact checked by: Alyx Tzamantanis

The Kelly Criterion betting calculator is a mathematical formula which is used by avid sports bettors to maximize their profits by determining optimal bet sizes. By using this calculation technique, bettors can calculate the amount they need to stake in order to receive the best possible return from their sports bet.

In this guide, I will take you through the complete process of how the Kelly betting calculator works, including its mathematical formula, pros and cons of using this calculator and detailed examples of how a bettor can employ this calculator for their best advantage.

Be sure to make use of our free Kelly Criterion calculator

Kelly calculator

 / 

How to use the Kelly Criterion Calculator?

The Kelly Criterion sports betting calculator is used for sports betting, to weigh the odds of winning or losing a bet, so that you can make an informed decision on how much of your bankroll you should wager in order for you to receive maximum returns. This is especially useful as the calculator eliminates any guesswork and helps you make strategic choices, improving bankroll management in the process.

What input do you need to use this calculator?

To use the free Kelly betting calculator, you need to enter certain details as input details and the calculator would give you the outcome. These details include your bankroll (the amount of money you have in your online betting sportsbook account), the odds and the estimated probability of winning.

What output does the Kelly Criterion Calculator give out?

By entering the above mentioned details, you can generate the results of the calculator and the Kelly criterion sports betting calculator will tell you how much money you should invest on your bet on a certain betting event to maximize your profits.

Step-by-Step guide to using the Kelly Criterion Calculator

Let me now guide you through the step-by-step process of using the Kelly Criterion betting calculator for a better understanding of how you can use it:

The Kelly Criterion calculator uses the following formula to generate the output:

f = (bp - q) / b

Now to understand the meaning behind this formula, here’s what each letter stands for:

LetterMeaning
fThe betting size based on a percentage of your bankroll.
bThe bet’s decimal odds - 1 (Example: 4.0 odds - 1 =2 )
pThe probability of winning the bet (Example: 40% chance = 0.4)
qThe probability of losing the bet, which is 1 - p (Example: 1 - 0.4 = 0.6)

Now that you have all the knowledge about the input data, you can calculate the amount of money you should wager with for maximized profits.

Bet365
4.6/5
Bet365 Review
Bet $10 Get $150 in Bonus Bets
Bet now
Whatever the moment. It's Never Ordinary at bet365. That's why if you sign up now you will receive $150 in Bonus Bets Win or Lose when you bet $5! Minimum $10 deposit required. Minimum odds -500 or greater. Bonus Bets wager excluded from returns. New customers only. T&CS, time limits and exclusions apply.GAMBLING PROBLEM? CALL 1-800-MY-RESET. 21+ (AZ/CO/IL/IN/KS/KY/LA/MD/NC/NJ/OH/PA/TN/VA) or 1-800-BETS OFF (IA). 21+ (18+ KY). Must be present in AZ/CO/IA/IL/IN/KS/KY/LA (select parishes)/MD/NC/NJ/OH/PA/TN/VA.
BetMGM
4.6/5
BetMGM Review
Up To $1500 in Bonus Bets Paid Back if your First Bet Does Not Win
Bet now
Gambling problem? Call 1-800-GAMBLER or 1-800-MY-RESET (Available in the US) 877-8-HOPENY or text HOPENY (467369) (NY) 1-800-327-5050 (MA), 1-800-BETS-OFF (IA), 1-800-981-0023 (PR). 21+ only. Please Gamble Responsibly. See BetMGM.com for Terms. First Bet Offer for new customers only (if applicable). Subject to eligibility requirements. Bonus bets are non-withdrawable. In partnership with Kansas Crossing Casino and Hotel. Promotional offers not available in Mississippi, New York, Ontario, or Puerto Rico.
FanDuel
4.5/5
FanDuel Review
New Users – Bet $5 Get $200 in Bet Reset Tokens for 5 Days
Bet now
Gambling Problem? Call 1-800-GAMBLER or 1-800-MY-RESET. Call 1-888-789-7777 or visit ccpg.org/chat (CT). Hope is here. GamblingHelplineMA.org or call (800) 327-5050 for 24/7 support (MA). Visit www.mdgamblinghelp.org (MD). Call 1-877-HOPENY or text HOPENY (467369) (NY). 21+ (18+ DC, IA, KY, WV) only. New users only or text HOPENY (467369) (NY). Casino, First online real money wager only. $5 first deposit required. Min $5 wager required for 5 consecutive days. Bonus issued as non-withdrawable Bet Reset tokens. Refund from token issued as nonwithdrawable bonus bet that expire 7 days after receipt. Max refund $200 per day. Restrictions apply, including token expiration. See full terms at fanduel.com/sportsbook. Call 1-877-770-7867 (LA).

Some examples

Now, let us look at some examples of how this betting calculation system works for familiar sports betting events. This would give you a better idea of how this result is calculated, so that you can do the calculation using the free Kelly betting calculator to calculate your own betting odds.

  • Suppose The Indiana Pacers have +250 odds (3.5 decimals)
  • Then we will calculate +250 odds = 28.6% probability of winning.
  • You can then use a skill called handicapping to assess the chances of winning and say that the team’s actual chances of winning is 35%
  • So, now, p = 0.35 and q = 0.65.
  • If we equate this with the formula for Kelly Criterion Calculator: 0.09 = (2.5 x 0.35 - 0.65) / 2.5
  • Thus, you should bet 9% of your bankroll to have the best outcome.

Let’s take a look at another sporting event example to firmly affirm the calculator’s workings:

  • The odds for the Chicago Bulls winning is 3.20 (+220).
  • So the implied probability according to this would be 31.3%.
  • You can then handicap this probability by supposing it at 2.80 (+180). This would take your estimated probability for winning at 35.7%.
  • Now, we can arrange our input data as follows: b = 2.2 (3.2 - 1), p = 0.36, q = 0.64.
  • Putting our input data into the formula: 0.069 = (2.2 x 0.36 - 0.64) / 2.2
  • Therefore, you should bet 6.9%of your bankroll on this bet.

With all this information and a knowledge about the formula, you can make your own calculations. Or you can find a free Kelly betting calculator online, enter all the input variables and hit calculate to get your outcome easily, so that you can make an informed decision.

Kelly Criterion betting explained

Like many betting calculators out there, the Kelly Criterion calculator uses the provided information and gives the best possibility of how much you should bet in order to get the maximized profit for your winnings. However, like with anything else, there are certain things that you should keep in mind while using the Kelly calculator.

Pros and Cons of Kelly Criterion Calculator

Pros & Cons
Pros & Cons
  • Unique strategy to determine bet size.
  • Helps improve bankroll management
  • Alternative methods available to lower risk.
  • Popular among professional bettors.
  • Requires modifications to minimize risk of loss.
  • Handicapping skill required for better results.

Modified quarter and half system

As this formula requires you to play with a higher percentage of your bankroll, you must be careful. But there is no need to panic, as you can use the modified quarter or half alternative methods to lower the risk of losing your bet.

  • Half Kelly Criterion - Simply divide your bet size (f) by 2, making it half of what the formula determines.
  • Quarter Kelly Criterion - Similarly, for a modified quarter method, divide the bet size (f) by 4.

These two methods are especially suitable for new bettors who may not want to start wagering with a big investment at first. They can easily be adjusted to suit your personal bankroll and risk tolerance.

Here are our favorite Sportsbooks

Bet365
1.
4.6/5
Bet $10 Get $150 in Bonus Bets
USA
USA Players Eligible
PayPal
Apple Pay
Venmo
Ohio Casino Control Commission (OCCC)
Bet now
Whatever the moment. It's Never Ordinary at bet365. That's why if you sign up now you will receive $150 in Bonus Bets Win or Lose when you bet $5! Minimum $10 deposit required. Minimum odds -500 or greater. Bonus Bets wager excluded from returns. New customers only. T&CS, time limits and exclusions apply.GAMBLING PROBLEM? CALL 1-800-MY-RESET. 21+ (AZ/CO/IL/IN/KS/KY/LA/MD/NC/NJ/OH/PA/TN/VA) or 1-800-BETS OFF (IA). 21+ (18+ KY). Must be present in AZ/CO/IA/IL/IN/KS/KY/LA (select parishes)/MD/NC/NJ/OH/PA/TN/VA.
BetMGM
2.
4.6/5
Up To $1500 in Bonus Bets Paid Back if your First Bet Does Not Win
USA
USA Players Eligible
PayPal
Bank Transfer
VIP Preferred
Ohio Casino Control Commission (OCCC)
Bet now
Gambling problem? Call 1-800-GAMBLER or 1-800-MY-RESET (Available in the US) 877-8-HOPENY or text HOPENY (467369) (NY) 1-800-327-5050 (MA), 1-800-BETS-OFF (IA), 1-800-981-0023 (PR). 21+ only. Please Gamble Responsibly. See BetMGM.com for Terms. First Bet Offer for new customers only (if applicable). Subject to eligibility requirements. Bonus bets are non-withdrawable. In partnership with Kansas Crossing Casino and Hotel. Promotional offers not available in Mississippi, New York, Ontario, or Puerto Rico.
FanDuel
3.
4.5/5
New Users – Bet $5 Get $200 in Bet Reset Tokens for 5 Days
USA
USA Players Eligible
PayPal
Bank Transfer
Cheque
Ohio Casino Control Commission (OCCC)
Bet now
Gambling Problem? Call 1-800-GAMBLER or 1-800-MY-RESET. Call 1-888-789-7777 or visit ccpg.org/chat (CT). Hope is here. GamblingHelplineMA.org or call (800) 327-5050 for 24/7 support (MA). Visit www.mdgamblinghelp.org (MD). Call 1-877-HOPENY or text HOPENY (467369) (NY). 21+ (18+ DC, IA, KY, WV) only. New users only or text HOPENY (467369) (NY). Casino, First online real money wager only. $5 first deposit required. Min $5 wager required for 5 consecutive days. Bonus issued as non-withdrawable Bet Reset tokens. Refund from token issued as nonwithdrawable bonus bet that expire 7 days after receipt. Max refund $200 per day. Restrictions apply, including token expiration. See full terms at fanduel.com/sportsbook. Call 1-877-770-7867 (LA).
Fanatics
4.
4.5/5
10 x $100 bet match in FanCash
USA
USA Players Eligible
Venmo
PayPal
Apple Pay
Ohio Casino Control Commission (OCCC)
Bet now
Must be 21+. GAMBLING PROBLEM? CALL 1-800-GAMBLER OR CALL 1-800-MY-RESET, www.mdgamblinghelp.org (MD), (800)-327-5050 or gamblinghelplinema.org (MA), Call (877)8-HOPENY or text HOPENY (467369) (NY), (888) 789-7777 or ccpg.org (CT), morethanagame.nc.gov (NC), 1800gambler.net (WV)
DraftKings
5.
4.5/5
New DraftKings Customers: Spend $5+ Get $200 in Bonuses Instantly!
USA
USA Players Eligible
PayPal
VIP Preferred
Play+
Ohio Casino Control Commission (OCCC)
Bet now
GAMBLING PROBLEM? CALL 1-800-GAMBLER or 1-800-MY-RESET, (800) 327-5050 or visit gamblinghelplinema.org (MA). Please Gamble Responsibly. 888-789-7777/visit ccpg.org (CT), or visit www.mdgamblinghelp.org (MD), 1-800-981-0023 (PR). 21+ and present in most states. (18+ DC/NH/PR/WY). Void in CAN. Eligibility restrictions apply. On behalf of Boot Hill Casino (KS). Pass-thru of per wager tax may apply in IL. 1 per new DraftKings customer. $5+ first-time bet req. Max. $200 issued as non-withdrawable Bonus Bets that expire in 7 days (168 hours). Stake removed from payout. Terms: sportsbook.draftkings.com/promos. Ends 7/19/26 at 11:59 PM ET. Sponsored by DK.

Why is the Kelly Criterion Calculator useful?

The Kelly Criterion calculator is useful for new and experienced bettors alike. I’ve outlined a few key benefits of using this calculator below to help you get a clearer picture of why a Kelly calculator can provide a helpful tool in your betting strategy.

Helps to calculate optimal bet size

Most bettors don’t put much calculation into their wager sizes while placing bets. They consider their bankroll and put a small portion of it for the bet. Consequently, they are in danger of risking too much on unfavorable outcomes, as they fail to maximize their winning by calculating the most profitable bets.

Here is where the Kelly Criterion sports betting calculator comes to the rescue. It accurately calculates the optimal bet size for you to wager in order to maximize the potential returns should your bet win

Improves bankroll management

The Kelly Criterion calculator can help you manage your bankroll more effectively by offering valuable insights in how much you should ideally wager in order for you to benefit from the best possible returns. This may prevent you from wagering too much, thus depleting your bankroll too quickly

Helps build a solid betting strategy

Many sports betting enthusiasts will agree when I say that simply diving in and placing your bets without prior research and consideration is usually a pretty foolish thing to do. By making use of betting calculators you can improve your overall knowledge of the betting process, learn about odds and potential outcomes as well as adjust your personal betting strategy to suit your goals.

A betting calculator saves time and is more reliable

Manual calculations are usually pretty time consuming. Plus, there’s always the possibility of making a mistake during your calculations. Using a Kelly Criterion calculator not only saves time but also eliminates many potential errors that could arise if you were to do your calculations by hand. Of course, you’ll have to make sure that all your inputs are correct. But, if they are, the calculated results offer valuable information for improving and adjusting your betting strategy.

What Other Betting Calculators are available?

While the Kelly Criterion calculator is advantageous for determining what percentage of your bankroll you should bet with, there are also other betting calculators available out there, each used to calculate different outputs. So, let us see some of them:

Arbitrage betting calculator

An arbitrage betting calculator is very useful for bettors who bet on more than one event simultaneously. This calculator allows you to enter the odds of two or more sporting events to determine how much money you should bet on each to make a profit. With this knowledge in mind, you can make an informed decision and cut back on the risk of losing money.

Fair Odds calculator

A fair odds calculator assesses the implied probability of a 2-way bet outcome, after removing the vig from it. The vig is a percentage that bookmakers apply to the odds so as to make it less favorable than the actual winning probability. Thus, by comparing the fair odds to the sportsbooks odds, you can see the actual odds of you winning the bet, and can evaluate a profit if the fair odds is more than the sportsbook odds.

Betting ROI calculator

ROI is short for Return on Investment. A bet is like an investment where we spend money and expect a profit in return. ROI helps us equate how much profit or loss we can expect from the bets placed. Similarly, the betting ROI calculator helps you determine the expected profit or loss on a given bet. All you need to do is input the bet size, the odds, and your estimated probability of winning. Then, the ROI calculator will tell you the implied probability of winning, the expected return and the ROI as a percentage of the bet size.

Here’s a quick overview of all other betting calculators and their key benefits for you:

CalculatorBest for
Arbitrage betting calculatorCalculating how much you should stake at two different sportsbooks to make a profit or minimize losses
Fair Odds calculatorCalculating the actual odds of you winning a bet compared to the odds offered by the bookmaker
Betting ROI calculatorHelping you determine the expected loss or profit on any given bet

Conclusion - the Kelly Criterion calculator is a useful tool for new and experience bettors

With the availability of plenty of calculators out there, including the Kelly Criterion sports betting calculator, you can make smarter decisions on how much to stake in order to receive the best potential return for your bet. While manual calculations may be laborious and error-prone, the Kelly calculator takes the guesswork out of a complex formula. Simply input your odds and implied probabilities of winning/losing the bet and you’ll be presented with the optimal amount to wager on your bet. Of course, you shouldn’t just blindly trust the calculator and also assess if the amount fits your overall budget and bankroll management. But, by using the Kelly Criterion formula, you can make more informed decisions and ultimately improve your own betting strategy.

Prime Betting bonuses we recommend

Bet365
1.
4.7/5
Bet $10 Get $150 in Bonus Bets
USA
USA Players Eligible
Min. Deposit: $10
Visit Bet365
Get bonus now
Whatever the moment. It's Never Ordinary at bet365. That's why if you sign up now you will receive $150 in Bonus Bets Win or Lose when you bet $5! Minimum $10 deposit required. Minimum odds -500 or greater. Bonus Bets wager excluded from returns. New customers only. T&CS, time limits and exclusions apply.GAMBLING PROBLEM? CALL 1-800-MY-RESET. 21+ (AZ/CO/IL/IN/KS/KY/LA/MD/NC/NJ/OH/PA/TN/VA) or 1-800-BETS OFF (IA). 21+ (18+ KY). Must be present in AZ/CO/IA/IL/IN/KS/KY/LA (select parishes)/MD/NC/NJ/OH/PA/TN/VA.
BetMGM
2.
4.7/5
Up To $1500 in Bonus Bets Paid Back if your First Bet Does Not Win
USA
USA Players Eligible
Min. Deposit: $5
Visit BetMGM
Get bonus now
Gambling problem? Call 1-800-GAMBLER or 1-800-MY-RESET (Available in the US) 877-8-HOPENY or text HOPENY (467369) (NY) 1-800-327-5050 (MA), 1-800-BETS-OFF (IA), 1-800-981-0023 (PR). 21+ only. Please Gamble Responsibly. See BetMGM.com for Terms. First Bet Offer for new customers only (if applicable). Subject to eligibility requirements. Bonus bets are non-withdrawable. In partnership with Kansas Crossing Casino and Hotel. Promotional offers not available in Mississippi, New York, Ontario, or Puerto Rico.
FanDuel
3.
4.6/5
New Users – Bet $5 Get $200 in Bet Reset Tokens for 5 Days
USA
USA Players Eligible
Terms (WR): New Users – Bet $5 Get $200 in Bet Reset Tokens for 5 Days. (Up to $1,000 Bet Reset Tokens)
Visit FanDuel
Get bonus now
Gambling Problem? Call 1-800-GAMBLER or 1-800-MY-RESET. Call 1-888-789-7777 or visit ccpg.org/chat (CT). Hope is here. GamblingHelplineMA.org or call (800) 327-5050 for 24/7 support (MA). Visit www.mdgamblinghelp.org (MD). Call 1-877-HOPENY or text HOPENY (467369) (NY). 21+ (18+ DC, IA, KY, WV) only. New users only or text HOPENY (467369) (NY). Casino, First online real money wager only. $5 first deposit required. Min $5 wager required for 5 consecutive days. Bonus issued as non-withdrawable Bet Reset tokens. Refund from token issued as nonwithdrawable bonus bet that expire 7 days after receipt. Max refund $200 per day. Restrictions apply, including token expiration. See full terms at fanduel.com/sportsbook. Call 1-877-770-7867 (LA).
Fanatics
4.
4.6/5
10 x $100 bet match in FanCash
USA
USA Players Eligible
Visit Fanatics
Get bonus now
Must be 21+. GAMBLING PROBLEM? CALL 1-800-GAMBLER OR CALL 1-800-MY-RESET, www.mdgamblinghelp.org (MD), (800)-327-5050 or gamblinghelplinema.org (MA), Call (877)8-HOPENY or text HOPENY (467369) (NY), (888) 789-7777 or ccpg.org (CT), morethanagame.nc.gov (NC), 1800gambler.net (WV)
DraftKings
5.
4.5/5
New DraftKings Customers: Spend $5+ Get $200 in Bonuses Instantly!
USA
USA Players Eligible
Min. Deposit: 5
Visit DraftKings
Get bonus now
GAMBLING PROBLEM? CALL 1-800-GAMBLER or 1-800-MY-RESET, (800) 327-5050 or visit gamblinghelplinema.org (MA). Please Gamble Responsibly. 888-789-7777/visit ccpg.org (CT), or visit www.mdgamblinghelp.org (MD), 1-800-981-0023 (PR). 21+ and present in most states. (18+ DC/NH/PR/WY). Void in CAN. Eligibility restrictions apply. On behalf of Boot Hill Casino (KS). Pass-thru of per wager tax may apply in IL. 1 per new DraftKings customer. $5+ first-time bet req. Max. $200 issued as non-withdrawable Bonus Bets that expire in 7 days (168 hours). Stake removed from payout. Terms: sportsbook.draftkings.com/promos. Ends 7/19/26 at 11:59 PM ET. Sponsored by DK.

FAQs

🤔 Who created the Kelly Criterion?

John Kelly was the inventor of the Kelly Criterion formula. He came up with this formula for long-distance telephone signals, but later realized that the formula could be used for investments and money management, and thus, a new era was born.

📊 What is the Kelly Criterion betting strategy?

The Kelly Criterion is a mathematical formula used by bettors to help them make an optimal bet by equating how much money from their bankroll they should stake for a favorable outcome. Bettors also apply the modified half and quarter methods to cut back on the risk of a loss even further.

⚙️ How does the Kelly Criterion calculator work?

The Kelly Criterion sports betting calculator requires you to enter certain variables including, the bet’s odds, estimated probability of winning, probability of losing into its formulaic framework. The formula then works its charms and tells you the optimal bet size.

Latest News
Master the Overpowered Weapons in Fortnite: They’re Back to Haunt Us in 2026
Overpowered weapons can be real game changers in ...
Dota 2 Salaries Impact: Are High Pro Wages Harming the Esports Scene in 2026?
Several esports organizations are pulling out of the ...
Projecting Mobile Legends player count for 2026: Trends and forecasts
Mobile Legends: Bang Bang (MLBB) has long been ...
Our Team
Andrew BoggsSophie McCarthy
Andrew Boggs
Sports Writer
Sophie McCarthy
Sophie McCarthy
Editor
Close
Unlock Your Winning Potential! Exclusive Offers from Top Sportsbooks Await.
Bet365
Bet365 Deal
Bet $10 Get $150 in Bonus Bets
Our Favorite
T&Cs / 21+
Promo Code:
Visit Bet365
Visit Bet365
BetMGM
BetMGM Deal
Up To $1500 in Bonus Bets Paid Back if your First Bet Does Not Win
Best Odds
T&Cs / 21+
Promo Code:
Visit BetMGM
Get Bonus
FanDuel
FanDuel Deal
New Users – Bet $5 Get $200 in Bet Reset Tokens for 5 Days
Newcomer
T&Cs / 21+
Promo Code:
Visit FanDuel
Get Bonus
×
Your Promo Code:
The bonus offer of was already opened in an additional window. If not, you can open it also by clicking the following link:
Visit Site