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The Kelly Criterion originates from information theory, and it’s the most powerful staking plan for maximizing long-term bankroll growth. It solves a crucial problem: how to bet enough to grow quickly without risking total bankruptcy.

To use Kelly, you must have an 'Edge' (a probability estimate higher than what the bookmaker's odds imply). Without a positive edge, Kelly will always suggest a stake of zero.

Most professional bettors use 'Fractional Kelly' (like Half-Kelly), which reduces volatility and protects against errors in win probability estimation.

Mastering Kelly is the difference between a gambler and an investor.

Expected Value is the amount you expect to win or lose on average for every bet placed. In betting, we only look for +EV (Positive Expected Value) opportunities.

Formula: (Win Probability * Profit) - (Loss Probability * Stake). If the result is positive, the bet is worth taking.

Even a +EV bet can lose in the short term due to variance. However, over 1000 bets, the actual return will converge toward the expected value.

Sharps focus on the process (+EV) rather than the outcome of single bets.

Arbitrage betting occurs when different bookmakers have significantly different opinions on an outcome, allowing you to bet on all results and lock in a profit.

Bookie A offers 2.15 on Team 1. Bookie B offers 2.10 on Team 2. By betting on both, you win regardless of who prevails.

Arbitrage gaps close quickly, and excessive arbitrage betting can lead to account limitations from sportsbooks.

Use our calculator to find the exact stakes needed to balance the payout perfectly.