Gunfighters A, B, and C are to fight a three-cornered pistol duel. All know that A’s chance of hitting the target is 0.3, C’s is 0.5, and B never misses. They are to fire at their choice of target in...

Gunfighters A, B, and C are to fight a three-cornered pistol duel. All know that A’s chance of hitting the target is 0.3, C’s is 0.5, and B never misses. They are to fire at their choice of target in succession in the order of A, B, and C, cyclically (but a hit man loses his turn and is no longer shot at) until only one man is left unhit. What should A’s strategy be? a. Shoots B first b. shoots the ground c. shoot C first d. Shoot himself

Jun 10, 2022
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