Probability Identities (Grade 10 NSC Matric Mathematics): Flashcards

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Probability Identities
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Set of all possible outcomes in a probability experiment

P(S)P(S) formula

P(S)=1P(S) = 1

Union identity formula

P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B)

A∪BA \cup B meaning

Probability that either event A or B (or both) occurs

Reason to subtract P(A∩B)P(A \cap B)

To avoid double-counting the overlap

A∩BA \cap B meaning

Outcomes that belong to both events A and B

Basic probability formula

P(E)=n(E)n(S)P(E) = \frac{n(E)}{n(S)}

Range of probability values

Between 0 and 1

Memory aid for union formula

Add the parts, subtract the overlap

Purpose of Venn diagrams

Help visualise why we subtract the intersection

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