Dependent and Independent Events (Grade 11 NSC Matric Mathematics): Flashcards

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Dependent and Independent Events
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Independent events definition

One event doesn't affect probability of the other

Dependent events definition

One event affects probability of the other

Independence formula

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

How to test independence

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

Sampling with replacement result

Independent events

Sampling without replacement result

Dependent events

Mutual exclusivity vs independence

Completely different concepts

Mutual exclusivity test formula

P(A and B)=0P(A \text{ and } B) = 0

Effect when event B is known

Sample space changes

Effect of replacement on independence

With: independent; Without: dependent

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