Set Theory and Probability (Junior Cert Mathematics): Flashcards

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Set Theory and Probability
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What is a set?

A collection of things (called elements)

What does A∪BA ∪ B represent?

Union: all elements in either AA, BB, or both

What does A∩BA ∩ B represent?

Intersection: only elements in both AA and BB

What does A′A' represent?

Complement: everything NOT in set AA

Purpose of Venn diagrams in set theory

Visual tool showing sets as circles; overlaps show intersections

What do overlapping parts in Venn diagrams show?

Intersection: elements common to both sets

How to think of union (A∪B)(A ∪ B)?

AA or BB

How to think of intersection (A∩B)(A ∩ B)?

AA and BB

How do sets help with probability problems?

Organise information and make calculations easier

What does complement A′A' exclude?

Everything in set AA

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