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If $\mathrm{A}$ and $\mathrm{B}^{\prime}$ are independent events, then $\mathrm{P}\left(\mathrm{A}^{\prime} \cup \mathrm{B}\right)=1-\mathrm{P}(\mathrm{A}) \mathrm{P}\left(\mathrm{B}^{\prime}\right)$
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