Gambling terms, explained straight

Odds, Probability & Bankroll

Bankroll management blackjack

Bankroll management blackjack is the practice of sizing blackjack bets as a fraction of your bankroll to control variance and avoid ruin.

Kelly fraction
f* = (bp - q) / b, where p is win probability and b is profit per dollar wagered 1
Practical bet cap
2–3% of bankroll per bet 1
Minimum bankroll
$1,000 recommended for typical bet sizes 1

Key points

  • Bet size rises and falls with the bankroll rather than staying fixed. 1
  • Kelly-style guidance computes an optimal fraction from win probability and payoff, then may reduce it to fractional Kelly. 1
  • A $25 blackjack player needs a bankroll of at least $1,000 to survive variance; $50 play requires $2,000; $15 play requires $600. 1

Where this term is used

Sources

  1. Variance and Bankroll Management for Player Props wizardofodds.com Provides the Kelly fraction formula, the 2–3% bet cap, the $1,000 minimum bankroll, and the principle of sizing bets as a fraction of bankroll.

Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.