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New on YouTube: This HRT Quant Interview Question Has a One-Line Answer - Watch now

Get quant-ready in 2026

⚡ Build the skills to land top-paying quant jobs. Offer ends in 25d 09h 50m 18s25 days 9 hours 50 minutes 18 seconds.

A paint balloon lands at a uniformly random point (uniform over area) inside a circular courtyard of radius 5 metres. A statue, which you may treat as a point, stands at the exact centre. When the balloon bursts it splatters paint over everything within 2 metres of its landing point.

What is the probability that the statue stays clean? Give an exact fraction.