If $A$ and $B$ are events of a random experiment such that $P(A \cup B) = \frac{4}{5}$, $P(\bar{A} \cup \bar{B}) = \frac{7}{10}$, and $P(B) = \frac{2}{5}$, then $P(A)$ equals

  • A
    $\frac{9}{10}$
  • B
    $\frac{8}{10}$
  • C
    $\frac{7}{10}$
  • D
    $\frac{3}{5}$

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