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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/2005/paper-1/3/b/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 / 2005 / Paper 1 / 3 / b / i / Solution by Codex 0 Created 2026-10-18 Updated 2026-10-20
Under the independent uniform-birthday model, condition on the first person's birthday. Exactly one of the second person's equally likely dates matches, so
(1)
This concerns one selected pair; the birthday problem allowing any pair among all guests is a different event.
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