Sports Odds

Bankroll Management—The Kelly Criterion Simplified

The most crucial strategy for long-term success is disciplined Bankroll Management (BRM). The Kelly Criterion is a popular mathematical formula used by professional bettors to determine the optimal fraction of one’s bankroll to wager on a specific bet.

The simplified formula is:

$$f = \frac{bp – q}{b}$$

Where:

  • $f$ = Fraction of the bankroll to bet (the result)
  • $b$ = Decimal odds – 1 (the fractional odds you’d win if you bet 1 unit)
  • $p$ = Your estimated True Probability of winning (as a decimal)
  • $q$ = Your estimated True Probability of losing ($1-p$)

The Principle: The Kelly Criterion suggests betting more when your perceived edge (the difference between $p$ and $IP$) is large, and less when the edge is small. Crucially, most conservative bettors use a Fractional Kelly (e.g., betting half-Kelly or quarter-Kelly) to protect against the inherent uncertainty in their True Probability estimate, ensuring they weather variance (losing streaks).

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