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The events \(A\) and \(B\) are non-mutually exclusive events of a random experiment. If \(P(B) = 0.43\), \(P(A \cap B) = 0.15\) and \(P(A \cup B) = 0.63\), then find the value of \(P(A)\).
 
Answer:
 
\(P(A)\) \(=\)