Three way duel (puzzle) - Wikipedia →
Three men are in a pistol duel. Each man will shoot in turn. The three men are identified as A, B, and C. A is a poor shot, and hits only 50% of the time. B is an expert marksman, and always hits. C is a moderate shot, and hits 80% of the time.
The exact order in which the three men will take turns shooting is variable (although in some variants it is stated as being A, B, C).
As the problem is based on classical dueling it is assumed that a hit target is “killed”….
The question is, what is the best strategy for A to follow to win the duel?
