More Venn Diagrams (Grade 11 NSC Matric Mathematics): Flashcards

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More Venn Diagrams
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Purpose of 3-event Venn diagrams

Visualise & count outcomes in event combinations

What sample space (S) contains

All possible outcomes

What 3-circle intersection represents

Outcomes belonging to all three events

Meaning of 'All' in Venn diagrams

A∩B∩CA \cap B \cap C - central region where all 3 events overlap

Meaning of 'None' in Venn diagrams

Outside all circles - no events occur

Meaning of 'At least one'

A∪B∪CA \cup B \cup C - union, anywhere inside any circle

What 'Both A and B' represents

A∩BA \cap B - intersection where circles A and B overlap

What 'A or B' represents

A∪BA \cup B - union, anywhere in circle A or B

Probability formula

P=favourable outcomestotal outcomesP = \frac{\text{favourable outcomes}}{\text{total outcomes}}

First step in creating Venn diagram

Define sample space and event sets

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