Mr. X, Mr. Y, and Mr. Z are to fight in a three-cornered pistol duel. It is known that Mr. X's chance of hitting his target is 0.3, Mr. Y's is 0.5, and Mr. Z never misses. They are to fire at their choice of target in succession in the order Mr X(0.3 chance), Mr Z(never misses), and Mr Y(0.5 chance). A hit individual is considered dead and no longer shot at, and this duel lasts until one person is left. What should Mr X's strategy be? (If he wants to win).
I've been thinking about this one, and the only possible conclusion I can come up with is try to shoot Mr Z, but then there's a chance you might end up in a never-ending pistol duel between Mr X and Mr Y.
2007-05-26
15:41:20
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4 answers
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asked by
fattycakes_
1
in
Mathematics