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JEE Math Practice Question

If A and B are two events such that $P(A) = 0.7$, $P(B) = 0.4$ and $P(A \cap \overline{B}) = 0.5$, where $\overline{B}$ denotes the complement of B, then $P\left(B \mid (A \cup \overline{B})\right)$ is equal to

  1. A.$\frac{1}{3}$
  2. B.$\frac{1}{2}$
  3. C.$\frac{1}{4}$
  4. D.$\frac{1}{6}$

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