Three cube faces at a corner
The six faces of a cube are each painted a distinct color (red, blue, green, yellow, purple, pink), chosen uniformly at random. What is the probability that the red, green, and blue faces all meet at a single vertex (corner) of the cube?
Show hints (2)+
- The three faces colored red/green/blue are a uniform random 3-subset of the 6 faces.
- How many face-triples meet at a vertex (one per corner), out of ?
Answer
Reveal answer →Final answer
0.4
Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.
Asked at: Jane Street, SIG