A) 11/14
B) 2/11
C) 2/7
D) 1/7
Correct Answer: A
Solution :
[a] \[P(A\cap B')=P(A)-P(A\cap B)=0.20\] Also, \[P(A'\cap B)=P(B)-P(A\cap B)=0.15\] \[\Rightarrow P(A)+P(B)-2P(A-B)=0.35\] Now, \[P(A'\cap B')=1-P(A\cup B)\] \[\Rightarrow 0.1=1-P(A)-P(B)+P(A\cap B)\] \[\Rightarrow P(A)+P(B)-P(A\cap B)=0.9\] \[\Rightarrow P(A\cap B)=0.9-0.35=0.55\] and \[P(A)=0.75,P(B)=0.70\] Now, \[P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0.55}{0.70}\]You need to login to perform this action.
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