Given P(A)=0.5 ,P(B)=0.3 , P(A∪B)=0.63 Are the two events are independent??
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total answers (1)
total answers (1)
Mathematics
∵P(A∪B)=P(A)+P(B)-P(A∩B)
need an explanation for this answer? contact us directly to get an explanation for this answer∴P(A∩B)=P(A)+P(B)-P(A∪B)
=0.5+0.3-0.63=0.17
but P(A)P(B)=(0.5)(0.3)=0.15
Since P(A∩B)≠P(A)P(B)
Then the two events are not independent.