Statement-1: Let \( E_{1}, E_{2}, E_{3} \) be three events such \( ...

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Statement-1: Let \( E_{1}, E_{2}, E_{3} \) be three events such
\( \mathrm{P} \) that \( \mathrm{P}\left(\mathrm{E}_{1}\right)+\mathrm{P}\left(\mathrm{E}_{2}\right)+\mathrm{P}\left(\mathrm{E}_{3}\right)=1 \), then \( \mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3} \) are

W. exhaustive events. And
Statement-2: If the events \( E_{1}, E_{2} \) and \( E_{3} \) be exhaustive events, then \( \mathrm{P}\left(\mathrm{E}_{1} \cup \mathrm{E}_{2} \cup \mathrm{E}_{3}\right)=1 \).
(1) Statement I is true, statement II is true; statement II is a correct explanation for statement I.
(2) Statement I is true, statement II is true; statement II is not a correct explanation for statement I.
(3) Statement I is true, statement II is false.
(4) Statement I is false, statement II is true.
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