Q:

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

hamza
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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 )

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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∪B)^c=1-P(A∪B)
                                                                    =1-0.63=0.37

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