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

hamza

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2022-05-18

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

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│B)=P(A∩B)/(P(B))=0.17/0.3=0.67

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