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

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

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