Detect a cycle in a linked list. Note that the head pointer may be 'null' if the list is empty.

P(2 red, 1 black) = P(Red Red Black) + P(Red Black Red) + P(Black Red Red) = (4/7)(5/9)(1/2) + (4/7)(4/9)(1/2) + (3/7)(5/9)(1/2) ...

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