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Value Bet Calculator

Identify value bets by comparing your estimated probability against bookmaker odds. Uses Kelly Criterion for optimal staking.

Value Bet Calculator
Odds Format
Bookmaker Odds
Your Estimated True Probability (%)
%
Bookmaker implied probability: 40.0%
Total Bankroll
$
Kelly Fraction: 25%
Conservative (5%)Full Kelly (100%)
Probability Comparison
Bookmaker40.0%
Your Estimate45.0%
Verdict
🟡 Slight Value
Value+12.5%
Edge (Prob. Difference)+5.00%
Full Kelly Stake$83.33 (8.3% of bankroll)
Recommended (25% Kelly)$20.83
How it works
A value bet exists when your estimated probability exceeds the bookmaker's implied probability. The Kelly Criterion determines the optimal stake to maximize long-term growth.
Quick Reference: Odds Formats
Decimal
Total return per unit staked, including your stake. 2.50 returns $2.50 on a $1 bet.
Fractional
Profit relative to stake. 3/2 means $3 profit for every $2 staked, plus your stake back.
American
Positive shows profit on a $100 stake; negative shows the stake needed to win $100.

What is a Value Bet?

A value bet occurs when the probability of an outcome is higher than the probability implied by the bookmaker’s odds. In other words, you believe the true chance of winning is greater than what the bookie is offering.

The Formula

Value = (Your Probability × Odds) − 1

If the result is positive, you have a value bet. For example: you estimate a team has a 50% chance of winning, and the odds are 2.20. Value = (0.50 × 2.20) − 1 = +0.10 (10% edge).

Expected Value Example

Over 100 bets at $10 each with a 10% edge:

  • Expected profit = 100 × $10 × 10% = $100

  • This is a long-term expectation — short-term results will vary due to variance

Kelly Criterion Staking

The Kelly Criterion determines the optimal stake size based on your edge:

Kelly % = (bp − q) / b

Where b = odds − 1, p = your probability, q = 1 − p.

Kelly Example

Odds of 2.20, your probability 50%:

  • b = 1.20, p = 0.50, q = 0.50

  • Kelly = (1.20 × 0.50 − 0.50) / 1.20 = 8.3% of bankroll

Fractional Kelly

Full Kelly maximises long-term growth but is very volatile. Most professionals use fractional Kelly (25-50%) for a smoother ride, accepting lower growth for significantly reduced risk of ruin.

How to find Value Bets with SmartOdds.win?

Glad you asked - SmartOdds.win offers you with various model predictions for different sports and a range of tournaments in each category. All you have to do is visit the sports predictions models and select the sports and competition you are interested. There are quite a few models used to generate predictions for each tournament, and one of them is the Value Scanner section which calculates probabilities for different outcomes and compares it agains online bookmaker odds to identify potential value bets.