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Q.

If P(A)=0.4,P(B)=0.5,P(C)=0.6,P(AB)=0.2 , P(BC)=0.3,P(CA)=0.25,P(ABC)=0.1  then P(ABC)=

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a

0.55

b

0.65

c

0.75

d

0.85

answer is B.

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Detailed Solution

P(ABC)=P(A)+P(B)+P(C)P(AB)  

P(BA)P(CA)+P(ABC)                             

               =0.4+0.5+0.60.20.30.25+0.1

              =1.60.75=0.85

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