For any two independent events \(E_{1}\) and \(E_{2},P\{(E_{1})\cup (E_{2})\cap(\bar{E_{1}})\cap (\bar{E_{2}})\}\) is

\(\geq \frac{1}{4}\) \(\leq \frac{1}{4}\) \(>\frac{1}{4}\) \(<\frac{1}{4}\)

\(<\frac{1}{4}\)

\(E_{1}\cup E_{2}\) and \(\bar{E_{1}\cup E_{2}}\) are mutually exclusive.