Identities (Grade 12 NSC Matric Mathematics): Flashcards

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Identities
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Independent events definition

Outcome of one event doesn't affect outcome of another

Dependent events definition

Outcome of one event influences probability of another

Mutually exclusive events definition

Events that cannot happen at the same time

Addition rule formula

P(A or B)=P(A)+P(B)−P(A and B)P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)

Addition rule for mutually exclusive events

P(A or B)=P(A)+P(B)P(A \text{ or } B) = P(A) + P(B)

Complementary rule formula

P(not A)=1−P(A)P(\text{not } A) = 1 - P(A)

Product rule for independent events

P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

How to test if events are independent

Check if P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

How to test if events are mutually exclusive

Check if P(A and B)=0P(A \text{ and } B) = 0

With replacement vs without replacement

With: independent; Without: dependent

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