A good rule for a reliable bankroll is 300 bets. If a bankroll of $6,000 to play $10–$20 Hold’em seems like a shockingly high number, we recommend reading Gambling Theory and other Topics by Mason Malmuth. It’s an amazingly insightful work into some of the statistical realities that surround poker. You’ll find out how the ups and downs of fate can produce some extreme results over the short run, and even $6,000 may be a conservative estimate for that game.