If A, B, C are three mutually exclusive and exhaustive events such that if P(B) = \(\frac{3}{2}\)P(A) and P(C) = \(\frac{1}{2}\)P(B), then P(A) = _______

1
\(\frac{5}{14}\)
2
\(​\frac{5}{13}\)
3
\(\frac{4}{11}\)
4
\(\frac{4}{13}\)

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