Jane Street–styleTraderTraderQuestion #359

A cube painted with red paint is divided into 27 smaller cubes (3×3×3). If one small cube is randomly selected and tossed, what is the probability that at least one of the sides that are visible has paint on it?

Build Your Approach

State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.

Try the free diagnostic with worked solutions →

Get Free Interview Prep Resources

Practice the Reasoning Behind the Answer

Bring your target roles and interview timeline to a free quant consult. Discuss your preparation priorities and how Quant Blueprint’s lessons, practice and mock interviews can help.

Book a Free Quant Consult

Your goals · your preparation · your next steps