If \( \mathrm{A} \) and \( \mathrm{B} \) are two events such that \...

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If \( \mathrm{A} \) and \( \mathrm{B} \) are two events such that
\( \mathrm{P} \)
\[
\mathrm{P}(\mathrm{A} \mid \mathrm{B})=p, \mathrm{P}(\mathrm{A})=p, \mathrm{P}(\mathrm{B})=\frac{1}{3}
\]
W)
and \( \quad \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{5}{9} \), then \( p= \)
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