Further Venn Diagrams (AQA A-Level Mathematics): Flashcards

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Further Venn Diagrams
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Set (definition)

A collection of distinct objects or elements

Universal set ξ\xi (definition)

Set containing all possible outcomes under consideration

Intersection A∩BA \cap B (definition)

Elements common to both events AA and BB

Union A∪BA \cup B (definition)

Elements in either event AA or BB (or both)

Complement A′A' (definition)

Elements that are not in event AA

Formula: P(A∪B)P(A \cup B)

P(A)+P(B)−P(A∩B)P(A) + P(B) - P(A \cap B)

Why subtract P(A∩B)P(A \cap B) in union formula?

Intersection counted twice when summing P(A)P(A) and P(B)P(B)

Formula: P(A′)P(A')

1−P(A)1 - P(A)

Overlapping region in 2-set Venn diagram

Represents intersection A∩BA \cap B

Event (definition)

Subset of universal set with specific outcomes

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