$A$ and $B$ are mutually exclusive events of an experiment. If $P(\text{not } A) = 0.65$,$P(A \cup B) = 0.65$,and $P(B) = p$,find the value of $p$.

  • A
    $0.70$
  • B
    $0.30$
  • C
    $0.63$
  • D
    $0.35$

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