Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is. (a) What is the value of p? (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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Timely patching is important for server security. Suppose an organization has 3 servers.
Two of them have been patched, while one of them still remains unpatched. The prob-
ability an unpatched server gets compromised is, and the probability that a patched
server get compromised is p. If an attacker randomly attacks one of the three servers,
the probability he compromises the server is
(a) What is the value of p?
•
(b) This time the attacker randomly chose two servers to attack, and observed only one
of them got compromised. What is the conditional probability that both attacked
servers are patched?
Transcribed Image Text:Timely patching is important for server security. Suppose an organization has 3 servers. Two of them have been patched, while one of them still remains unpatched. The prob- ability an unpatched server gets compromised is, and the probability that a patched server get compromised is p. If an attacker randomly attacks one of the three servers, the probability he compromises the server is (a) What is the value of p? • (b) This time the attacker randomly chose two servers to attack, and observed only one of them got compromised. What is the conditional probability that both attacked servers are patched?
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