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
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0.4
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