A) A and B are independent
B) \[P\,\left( \frac{{{A}'}}{B} \right)=\frac{3}{4}\]
C) \[P\,\left( \frac{{{B}'}}{{{A}'}} \right)=\frac{1}{2}\]
D) All of the above
Correct Answer: D
Solution :
\[A,\,\,B\] are independent as \[P(A)=P\left( \frac{A}{B} \right)\] \[P\left( \frac{{{A}'}}{B} \right)=1-\frac{1}{4}=\frac{3}{4}\] as \[A,\,\,B\] are independent \[\Rightarrow {A}',\,B\] are independent. \[P\left( \frac{{{B}'}}{{{A}'}} \right)=P({B}')=1-\frac{1}{2}=\frac{1}{2}.\]You need to login to perform this action.
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