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

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Further Venn Diagrams
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What do Venn diagrams represent?

Relationships between different sets in probability.

What is a universal set?

A set containing all possible outcomes under consideration.

Define an event in set theory.

A subset of the universal set representing specific outcomes.

What does ABA \cap B represent?

The intersection of events AA and BB, their common elements.

What does ABA \cup B signify?

The union of events AA and BB, elements in either event.

What is the complement of an event?

Elements not in event AA, denoted as AA'.

Formula for the union of two events?

P(AB)=P(A)+P(B)P(AB)P(A \cup B) = P(A) + P(B) - P(A \cap B)

How to find P(A)P(A')?

P(A)=1P(A)P(A') = 1 - P(A)

What is visualized in a three-set Venn diagram?

All possible intersections between three events AA, BB, CC.

Purpose of Venn diagrams in probability?

Help visualize and calculate probabilities of events.

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