A) \[\frac{1}{4}\]
B) \[\frac{1}{2}\]
C) \[\frac{1}{8}\]
D) \[\frac{1}{16}\]
Correct Answer: A
Solution :
It is given that \[P(\bar{A})=0.3\] and P=0.4 and \[P(A\cap B')=0.5\] where, \[P(A)=1-P(\bar{A})=0.7\] \[P(A\cap \bar{B})=P(A)-P(A\cap B)=0.5\] \[\therefore \] \[P(A\cap B)=0.5-0.3=0.2\] \[P(B/A\cup \bar{B})=\frac{P(B\cap (A\cup B'))}{P(A\cup \bar{B})}\] \[=\frac{P(A\cap B)}{1-P(B)+P(A\cap B)}\] \[=\frac{0.2}{1-0.4+0.2}=\frac{1}{4}\]You need to login to perform this action.
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