If $A$ and $B$ are two events such that $P\,(A \cup B)\, + P\,(A \cap B) = \frac{7}{8}$ and $P\,(A) = 2\,P\,(B),$ then $P\,(A) = $

  • A

    $\frac{7}{{12}}$

  • B

    $\frac{7}{{24}}$

  • C

    $\frac{5}{{12}}$

  • D

    $\frac{{17}}{{24}}$

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