Günfighters A, B, and three-cornered pistol duel. AlI e aubtI o3 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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10. 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. shoots himself
Transcribed Image Text:10. 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. shoots himself
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