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JEE Math Practice Question

If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{3}, P(B)=\frac{1}{5}$$ and $$P(A \cup B)=\frac{1}{2}$$, then $$P\left(A \mid B^{\prime}\right)+P\left(B \mid A^{\prime}\right)$$ is equal to :

  1. A.$$\frac{3}{4}$$
  2. B.$$\frac{5}{8}$$
  3. C.$$\frac{5}{4}$$
  4. D.$$\frac{7}{8}$$

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