Set Notation & Conditional Probability (AQA A-Level Mathematics): Flashcards

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Set Notation & Conditional Probability
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Universal set symbol

E\mathcal{E}

Empty set notation

∅={}\emptyset = \{\}

Definition of A∩BA \cap B

Elements common to both sets AA and BB

Definition of A∪BA \cup B

Elements in either set AA or set BB, or both

Definition of A′A' (complement)

All elements not in AA

Mutually exclusive events meaning

Events that cannot occur at the same time

P(A∩B)P(A \cap B) when AA and BB mutually exclusive

P(A∩B)=0P(A \cap B) = 0

Independent events meaning

Outcome of one does not affect probability of the other

Formula for independent events

P(A∩B)=P(A)P(B)P(A \cap B) = P(A)P(B)

Notation for number of elements in set AA

n(A)n(A) or ∣A∣|A|

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