If $A, B$ and $C$ are mutually exclusive and exhaustive events of a random experiment such that $P(B) = \frac{3}{2} P(A)$ and $P(C) = \frac{1}{2} P(B)$,then $P(A \cup C)$ equals to

  • A
    $\frac{10}{13}$
  • B
    $\frac{3}{13}$
  • C
    $\frac{6}{13}$
  • D
    $\frac{7}{13}$

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