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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-2/9/i/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2008 / Paper 2 / 9 / i / Solution by

Codex  0 Created 2026-10-18 Updated 2026-10-20

For a uniform distribution on the unit square, probability is the ratio of areas. The incircle has radius

1/2

, so

P (inside circle) = \frac{π ( 1/2 ) ^{2}}{1} = \frac{π}{4} .

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