2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Probability

JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    If A and B are two events such that \[P(A)\ne 0\] and \[P(B)\ne 1,\] then \[P\left( \frac{\overline{A}}{\overline{B}} \right)=\]

    A) \[1-P\left( \frac{A}{B} \right)\]

    B) \[1-P\left( \frac{\overline{A}}{B} \right)\]

    C) \[\frac{1-P(A\cup B)}{P(\overline{B})}\]

    D) \[\frac{P(\overline{A})}{P(\overline{B})}\]

    Correct Answer: C

    Solution :

    [c] \[P\left( \frac{\overline{A}}{\overline{B}} \right)=\frac{P(\overline{A}\cap \overline{B})}{P(\overline{B})}\] \[=\frac{P(\overline{A\cup B})}{P(\overline{B})}=\frac{1-P(A\cup B)}{P(\overline{B})}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner