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Kaplan Question - Probability

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by hwiya320 » Mon Nov 24, 2008 4:22 pm
A machine is made up of two components, A and B. Each component either works or fails. The failure or non-failure of one component is independent of the failure or non-failure of the other component. The machine works if at least one of the components works. If the probability that each component works is 2/3 , what is the probability that the machine works?

a 1/9
b 4/9
c 1/2
d 2/3
e 8/9

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Re: Kaplan Question - Probability

by Ossa » Mon Nov 24, 2008 6:07 pm
Hi,

If the two components are A, and B, then the probabilty of the machine not working is the probability of both A and B failing which is (1-2/3)*(1-2/3)=1/9, and so the probability of the machine working is =1-probability of failure=8/9.



hwiya320 wrote:A machine is made up of two components, A and B. Each component either works or fails. The failure or non-failure of one component is independent of the failure or non-failure of the other component. The machine works if at least one of the components works. If the probability that each component works is 2/3 , what is the probability that the machine works?

a 1/9
b 4/9
c 1/2
d 2/3
e 8/9

Thanks!
Ossa Elhadary, PhD, CISA, PMP
Math Specialist
Test Prep New York
maximize your score, minimize your stress

www.testprepny.com
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