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Overlapping Sets & Venn Diagrams

Section: Statistics & ProbabilityBank code: STA-OVLGRE frequency: HighPro

1. Core Idea

When two groups overlap, simply adding their sizes double counts the members in both. The correction is the inclusion-exclusion principle:

Total in A or B = A + B - (both)

For questions with two attributes and a yes/no answer for each, a 2x2 table is usually faster and less error-prone than a Venn diagram.


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