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A machine is made up of two components, A and B. Each compon
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11 Jul 2019, 06:15
11 Jul 2019, 06:15
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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 \(\frac{2}{3}\), what is the probability that the machine works?
A. \(\frac{1}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{8}{9}\)
If the probability that each component works is \(\frac{2}{3}\), what is the probability that the machine works?
A. \(\frac{1}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{8}{9}\)
Re: A machine is made up of two components, A and B. Each compon
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12 Jul 2019, 00:11
12 Jul 2019, 00:11
Carcass 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 \(\frac{2}{3}\), what is the probability that the machine works?
A. \(\frac{1}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{8}{9}\)
If the probability that each component works is \(\frac{2}{3}\), what is the probability that the machine works?
A. \(\frac{1}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{8}{9}\)
Here,
The probability of the machine doesn't work = \(1- \frac{2}{3} = \frac{1}{3}\)
Probability that neither A nor B are working = \(\frac{1}{3} * \frac{1}{3} = \frac{1}{9}\)
Probability that machine works = \(1 - \frac{1}{9} = \frac{8}{9}\)
Re: A machine is made up of two components, A and B. Each compon
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24 Jun 2021, 05:59
24 Jun 2021, 05:59
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
