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STA 112 lesson
Addition, complements and independence
Use addition, complements and independence to solve and interpret a specified problem.
Source note: corrected against the supplied pages.
STA112-T14-L02; Source: T56-61, S12, S27 | Course topic 3
P(Aᶜ)=1-P(A). P(A∪B)=P(A)+P(B)-P(A∩B). Mutually exclusive events have empty intersection. Independent events satisfy P(A∩B)=P(A)P(B); neither changes the probability of the other. Events of positive probability cannot be both disjoint and independent. Use disjointness for an addition simplification and independence for a multiplication simplification.