Suppose \( \mathrm{E}_{1}, \mathrm{E}_{2} \) and \( \mathrm{E}_{3} ... VIDEO
Suppose \( \mathrm{E}_{1}, \mathrm{E}_{2} \) and \( \mathrm{E}_{3} \) be three mutually exclusive events
\( \mathrm{P} \) such that \( \mathrm{P}(\mathrm{Ei})= \) pi for \( i=1,2,3 \).
W \( \mathrm{P}\left(\right. \) none of \( \mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3} \) ) such that equals \( \mathrm{E}_{1}, \mathrm{E}_{2} \) and \( \mathrm{E}_{3} \) are mutually exhaustive events
(1) 0
(2) \( p_{1}+p_{2}+p_{3} \)
(3) \( \left(1-p_{1}\right)\left(1-p_{2}\right)\left(1-p_{3}\right) \)
(4) None of the above
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