If \( E_{1}, E_{2} \) and \( E_{3} \) are the possible elementary events of a random experiment,...

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If \( E_{1}, E_{2} \) and \( E_{3} \) are the possible elementary events of a random experiment, \( \mathrm{P}\left(\mathrm{E}_{1}\right)+\mathrm{P}\left(\mathrm{E}_{2}\right)=\mathrm{x} \) and \( \mathrm{P}\left(\mathrm{E}_{3}\right)=\frac{1}{3} \), then which of the following is not the value of \( \mathrm{x} \)
a. \( \frac{1}{3} \)
b. \( \frac{2}{3} \)
c. \( \frac{1}{2} \)
d. \( \frac{5}{7} \)
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