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. \(\frac{8}{9}\)

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R.A.E.
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