Gambler's ruin

You start with $k and bet $1 on fair coin flips, stopping at $0 or $N. What is the probability you reach $N before going broke?

Show hints (2)+
  1. The win probability is linear in your starting capital.
  2. Use the boundary conditions at 0 and N.

Answer

This is an open-ended question - work through it and compare your reasoning.

Create a free account to see the full worked solution and track your progress.

Interview format: Prop Trading, Systematic & Data-Driven Trading

Related questions