A) 1.2
B) 1.1
C) 0.1
D) 1.5
Correct Answer: B
Solution :
[b] Given that. \[P\left( A\cap B \right)=0.7\] \[P\left( A\cap B \right)=0.2\] \[\therefore \,\,P\left( \overline{A} \right)+P\left( \overline{B} \right)=1-P\left( A \right)+1-P\left( B \right)\] \[=2-\left[ P\left( A \right)+P\left( B \right) \right]\] \[\because P\left( A\cup B \right)=P\left( A \right)+P\left( B \right)-P\left( A\cap B \right)\] \[\Rightarrow \]\[P\left( A \right)+P\left( B \right)=P\left( A\cup B \right)+P\left( A\cap B \right)\] \[\Rightarrow \]\[P\left( A \right)+P\left( B \right)=0.7+0.2\] \[\Rightarrow \]\[P(A)+P(B)=0.9\] Now, \[P\left( A \right)+P\left( B \right)=2-\left[ P\left( A \right)+P\left( B \right) \right]\] \[=2-0.9=1.1\] Hence, option [b] is correct.You need to login to perform this action.
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