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Lesson 3 · Foundations · 18 min

Variance and Bankroll

Why a bankroll is a statistical instrument, and how to size yours like a practitioner.

Variance is the reason a session feels nothing like its expected value. A single 35:1 hit can wipe out a long losing streak; a long losing streak can wipe out a surprisingly respectable bankroll. Neither proves anything about the wheel.

A practical bankroll is designed to survive a reasonable negative run. Most seasoned players plan for sessions of N chips where N is at least 40–60x their base bet for outside bets, and 200x for straight-ups. The exact numbers are less important than the discipline of planning before sitting.

Key takeaways
  • Variance is not streakiness — it is finite-sample fluctuation.
  • Bankroll size should match bet type and session length.
  • Plan bankrolls before the session; never mid-session.

Keep going.

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