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Which event is represented by A∩BA\cap BA∩B?
A
Both AAA and BBB occur.
B
Mutual exclusivity gives P(A∩B)=0P(A\cap B)=0P(A∩B)=0, but independence requires P(A∩B)=P(A)P(B)>0P(A\cap B)=P(A)P(B)>0P(A∩B)=P(A)P(B)>0.
C
P(A∩B)=0P(A\cap B)=0P(A∩B)=0
D
For any events AAA and BBB, P(A∪B)\boxed{P(A\cup B)}P(A∪B) =P(A)+P(B)−=P(A)+P(B)-=P(A)+P(B)− P(A∩B)P(A\cap B)P(A∩B).
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2.3.8 Mutually exclusive and independent events (notation) (A-level only) Flashcards
22 flashcards on OCR (MEI) A Level Maths 2.3.8 Mutually exclusive and independent events (notation) (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.