Given P(A)=0.5 ,P(B)=0.3 , P(A∪B)=0.63 Evaluate P(A^c│B^c )

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2022-05-18

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Given P(A)=0.5 ,P(B)=0.3 , P(A∪B)=0.63
Evaluate P(A^c│B^c )

Mathematics, Statistics,

hamza

2022-05-18

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∵P(A∪B)=P(A)+P(B)-P(A∩B)
∴P(A∩B)=P(A)+P(B)-P(A∪B)
=0.5+0.3-0.63=0.17
P(A^c│B^c )=P(A^c∩B^c )/(P(B^c))=0.37/0.7=0.53

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