Prove that finding genuine edges works — eventually. See how variance masks your edge short-term, but positive expected value always wins in the long run.
The edge is the percentage by which your true probability exceeds the implied probability from the odds.
Set your stake, bankroll, and number of bets to simulate your typical betting volume.
The confidence bands show the wide range of outcomes — even with a genuine edge, short-term results vary wildly.
What is a value bet? A value bet occurs when the true probability of an outcome is higher than what the odds imply. If you believe a team has a 55% chance of winning, but the odds imply only 50% (decimal 2.0), you have a 5% edge.
Expected value per bet: With a 5% edge at 2.0 odds, the true win probability is 52.5% (1/2.0 + 0.05 = 0.525). Your expected profit per £10 bet is: 0.525 × £10 - 0.475 × £10 = £0.50, or 5% return on each bet.
Why variance masks your edge: The standard deviation of a single bet at 2.0 odds is approximately £10 (the stake). Your expected profit per bet is just £0.50. The signal-to-noise ratio is 0.50/10 = 5%. It takes many bets for the edge to become statistically significant.
The Law of Large Numbers: As you place more bets, actual results converge toward expected value. After ~400 bets with a 5% edge, you have roughly 95% confidence of being profitable. This is why professional bettors think in terms of thousands of bets, not individual results.
See Also: Calculate your exact optimal stake with the Kelly Criterion Calculator, or check your ruin risk with the Ruin Probability Calculator.
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