Decisions Under Uncertainty
Math · Intermediate · Lesson 4 of 7

The Kelly Criterion

How much to bet

An interactive lesson with 7 steps, about 6 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Repeated bets compound, so maximise the average growth rate, not the expected value per bet.
  • Kelly fraction: f∗=p−q/bf^* = p - q/b.
  • Overbetting, even with an edge, can make your money shrink.

Steps

  1. A favourable coin
  2. Maximise growth
  3. Kelly’s formula
  4. Same luck, different bets
  5. Better odds
  6. Half Kelly
  7. Doubling time