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MathNet 2016-part-06 — 184 problems (EN–VI) Question 3

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 3

In the school library there are $1\,024$ books of which $64$ are detective stories. Twenty-four of these detective stories are about Sherlock Holmes. What is the probability that a book you selected randomly is a detective story which is not about Sherlock Holmes?

(A) $\frac{1}{16}$ (B) $\frac{3}{8}$ (C) $\frac{3}{128}$ (D) $\frac{5}{128}$ (E) $\frac{1}{24}$