Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-2/1/b/solution

The original PDF places complement bars on the second in each parenthesis and on the final . Thus the first parenthesis is the empty set, whereas the second is the whole sample space. Their union with any further subset is still the whole space:
The bars are missing from the local OCR, so using its unbarred expression would give the wrong result.

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