If $A$ and $B$ are any two events, then $P(\bar A \cap B) = $

  • A

    $P(\bar A)\,\,\,P(\bar B)$

  • B

    $1 - P(A) - P(B)$

  • C

    $P(A) + P(B) - P(A \cap B)$

  • D

    $P(B) - P(A \cap B)$

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  • [AIEEE 2002]

In class $XI$ of a school $40\%$ of the students study Mathematics and $30 \%$ study Biology. $10 \%$ of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.