1.

If A and B are two events such that \[P\,(A)\ne 0\] and \[P\,(B)\ne 1,\] then \[P\,\left( \frac{{\bar{A}}}{{\bar{B}}} \right)=\] [IIT 1982; RPET 1995, 2000; DCE 2000; UPSEAT 2001]

A.        \[1-P\,\left( \frac{A}{B} \right)\]  
B.        \[1-P\,\left( \frac{{\bar{A}}}{B} \right)\]
C.        \[\frac{1-P\,(A\cup B)}{P\,(\bar{B})}\]      
D.        \[\frac{P\,(\bar{A})}{P\,(\bar{B})}\]
Answer» D.        \[\frac{P\,(\bar{A})}{P\,(\bar{B})}\]


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