Positive integers from 1 to 8 inclusively are randomly placed on the faces of a regular octahedron with each face being assigned a different number. For the purposes of the puzzle, 8 and 1 are considered as consecutive numbers.

Determine the probability that no two consecutive numbers are placed on faces that share an edge.

(In reply to computer assisted solution by Charlie)

Ty, Charlie. I confirm having hyperlinked your methodology in the official solution.

Posted by K Sengupta on 2024-04-09 02:51:49