Abe, Beth, and Carl each start to write a science fiction book. Their individual probabilities for completing their resp

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Abe, Beth, and Carl each start to write a science fiction book. Their individual probabilities for completing their respective books are \(\dfrac12, \dfrac15,\) and \(\dfrac14.\) A completed science fiction book has a \(20\%\) chance of getting published. What is the probability that Beth or Carl, but not Abe, will get their book published?

A. \(\dfrac{11}{250}\)

B. \(\dfrac9{200}\)

C. \(\dfrac{99}{1250}\)

D. \(\dfrac{81}{1000}\)

E. \(\dfrac15\)

Answer: C

Source: e-GMAT