Probability (HSC SSCE Mathematics Advanced): Flashcards

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Venn Diagrams
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Venn diagram definition

Visual tool showing sets and relationships using circles

Universal set (UU) representation

Rectangle containing all possible elements

ABA \cap B meaning

Intersection - elements in both sets

ABA \cup B meaning

Union - elements in either set or both

A\overline{A} meaning

Complement - elements not in A but in universal set

Cardinality of a set

Number of elements it contains

Cardinality rule for union

AB=A+BAB|A \cup B| = |A| + |B| - |A \cap B|

Why subtract AB|A \cap B| in cardinality rule?

To avoid double-counting shared elements

Intersection logical operator

AND - element must be in both sets

Union logical operator

OR - element in either set or both

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