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MathNet 2018-part-02 — 181 problems (EN–VI) Question 67

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 67

A box holds $n$ balls, some of which are white, and some are black. Find $n$ if the probability that by drawing two balls we draw exactly one white and one black is $\frac{1}{2}$, and we know that there are 2018 more balls of one colour than the other.