A little change in that problem:
Logic question: Ant walking a cube
There is a cube and an ant is performing a random walk on the edges where it can select any of the 3 adjoining vertices with equal probability. What is the expected number of steps it needs till it reaches the diagonally opposite vertex?
Taking the cube image there, and starting in 1 and ending in 8,
What would be the expected number of steps without passing by vertex 5?
Thanks!