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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Probability

A and B are two events such that $ P(A) > 0, P(B) \neq 1$ then $ P( \overline A / \overline B )=$

$\begin {array} {1 1} (A)\;1-P(A/B) & \quad (B)\;1-P ( \overline A / B ) \\ (C)\;\large\frac{1-P(A \cup B)}{P(\overline B)} & \quad (D)\;\large\frac{P( \overline A)}{P( \overline B )} \end {array}$

 

1 Answer

$P( \overline A / \overline B) = \large\frac{P(\overline A \cap \overline B )}{P( \overline B )}$
$ = \large\frac{( \overline{A\cup B})}{P( \overline B)}$
$ = \large\frac{1-P(A \cup B )}{P(\overline B)}$
Ans : (C)
answered Jan 6, 2014 by thanvigandhi_1
 

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