Mutually Exclusive and Complementary Events (Grade 10 NSC Matric Mathematics): Flashcards

Events that cannot happen at the same time

$P(A ∩ B) = ∅$

$P(A ∪ B) = P(A) + P(B)$

$P(A ∪ B) = P(A) + P(B) - P(A ∩ B)$

Contains all outcomes not in the event

$A'$ or not(A)

$P(A) + P(A') = 1$

$P(A') = 1 - P(A)$

$A ∪ A' = S$ (covers entire sample space)

Complementary must cover entire sample space