Wednesday, 14 August 2013

Probability and regular tetrahedron here!

Probability and regular tetrahedron here!

A bug crawls along the edges of a regular tetrahedron ABCD with edges
length 1. It starts at A and at each vertex chooses its next edge at
random (so it has a 1/3 chance of going back along the edge it came on,
and a 1/3 chance of going along each of the other two). Find the
probability that after it has crawled a distance 7 it is again at A is p.

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