A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. ...

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A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Find \( \mathrm{P}(\mathrm{A}) \), given that \( \mathrm{P}(\mathrm{B})=\frac{3}{2} \mathrm{P}(\mathrm{A}) \) and \( \mathrm{P}(\mathrm{C})=\frac{1}{2} \mathrm{P}(\mathrm{B}) \).
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