Expected duration of a fair walk

A fair ±1\pm 1 random walk starts at 0. What is the expected number of steps until it first hits +3+3 or −3-3?

Show hints (2)+
  1. Set up a one-step recurrence for the expected time from each position.
  2. The general answer for ±a is a2a^2.

Answer

Reveal answer →

9

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

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

Related questions