There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q.. You plan on selecting a site to protect, with probability p; of selecting site i. The choice of {4;} and {p:} represent the attacker's and defender's strategy, respectively.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1) What is the probability that you successfully prevent the attack?
2) Suppose that if site i is successfully attacked, you incur cost C. What is the expected or average cost of an
attack?
Transcribed Image Text:1) What is the probability that you successfully prevent the attack? 2) Suppose that if site i is successfully attacked, you incur cost C. What is the expected or average cost of an attack?
There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and
you must pick one to protect. Suppose that the attacker is going to attack site i with probability qi. You plan on
selecting a site to protect, with probability p, of selecting site i. The choice of {4;} and {p:} represent the attacker's
and defender's strategy, respectively.
Transcribed Image Text:There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability qi. You plan on selecting a site to protect, with probability p, of selecting site i. The choice of {4;} and {p:} represent the attacker's and defender's strategy, respectively.
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