Suppose we have a triangle (with 3 vertices and 3 edges). We color each vertex blue or red uniformly at random. Then define 3 random variables, one for each edge, that indicate whether the two vertices that edge touches are the same color. Are they mutually independent?

Suppose we have a triangle (with 3 vertices and 3 edges). We color each vertex blue or red uniformly at random. Then define 3 random variables, one for each edge, that indicate whether the two vertices that edge touches are the same color. Are they mutually independent?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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