Coin Race

What this coin-race probability question tests

This is an easy probability question designed to check whether you can enumerate outcomes, track state, and reason about relative frequencies. It's a warm-up style problem that appears in early-stage quant interviews to establish baseline comfort with counting and conditional reasoning.

The core skill is setting up a simple sample space, tracking which outcome occurs first, and then counting how many of those outcomes satisfy the constraint you're asked about. No heavy computation is needed—just systematic enumeration and a clear head.

• Sample space enumeration for repeated trials
• Comparing outcomes within a finite sequence
• Reducing fractions to simplest form