Given that the events $A$ and $B$ are such that $P(A) = \frac{1}{2}$,$P(A \cup B) = \frac{3}{5}$,and $P(B) = p$. Find $p$ if the events $A$ and $B$ are independent.

  • A
    $\frac{1}{5}$
  • B
    $\frac{1}{10}$
  • C
    $\frac{2}{5}$
  • D
    $\frac{3}{10}$

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