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South African Mathematics Olympiad First Round

South Africa statistics

Problem

In the school library there are books of which 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) (B) (C) (D) (E)
Solution
There are detective stories which are not about Sherlock Holmes. The probability of choosing one of these at random out of books is .
Final answer
D

Techniques

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