Let \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are pairwise ...

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Let \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are pairwise independent events
\( \mathrm{P} \) with \( \mathrm{P}(\mathrm{C})0 \) and \( \mathrm{P}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C})=0 \). Then,

W \( \mathrm{P}\left(\frac{\mathrm{A}^{c} \cap \mathrm{B}^{c}}{\mathrm{C}}\right) \) is
(1) \( \quad \mathrm{P}\left(\mathrm{A}^{c}\right)-\mathrm{P}(\mathrm{B}) \)
(2) \( \mathrm{P}(\mathrm{A})-\mathrm{P}\left(\mathrm{B}^{c}\right) \)
(3) \( \quad \mathrm{P}\left(\mathrm{A}^{c}\right)+\mathrm{P}\left(\mathrm{B}^{c}\right) \)
(4) \( \quad \mathrm{P}\left(\mathrm{A}^{c}\right)-\mathrm{P}\left(\mathrm{B}^{c}\right) \)
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