A, B and C are playing a shooting game. Each person takes a turn to shoot at one of the others until there's only one standing.
A has a probability 1/3 of hitting the mark.
B has a probability 2/3 of hitting the mark.
C is accurate and will definitely hit the mark.
The shooting order is A,B,C,A,B,C,.... indefinitely until only 1 person is left alive. If a person is dead, we skip his turn.
Who should A shoot first?
- A classic puzzle