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if P(A)=0.4,P(B^('))=0.6 and P(AcapB)=0....

if `P(A)=0.4,P(B^('))=0.6` and `P(AcapB)=0.15` then the value of `P(A|A^(')cupB^('))` is K. The value of 17 K is equal to.

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The correct Answer is:
5
`P((A)/(A^('))cupB^('))=(P(Acap(A^(')cupB^('))))/(P(A^(')cupB^(')))`
`=(P(A)-P(AcapB))/(1-P(AcapB))=(0.4-0.15)/(1-0.15)=(25)/(.85)=(5)/(17)`
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