The fraction of the interval \(0\leq x \leq 2\pi\), for which one (or both) of the inequalities \[\sin x \geq\frac{1}{2}, \qquad \sin 2x \geq \frac{1}{2}\] is true, equals

\(\dfrac{1}{3}\);

\(\dfrac{13}{24}\);

\(\dfrac{7}{12}\);

\(\dfrac{5}{8}\).

The fraction of the interval \(0\leq x \leq 2\pi\), for which one (or both) of the inequalities \[\sin x \geq\frac{1}{2}, \qquad \sin 2x \geq \frac{1}{2}\] is true, equals

\(\dfrac{1}{3}\);

\(\dfrac{13}{24}\);

\(\dfrac{7}{12}\);

\(\dfrac{5}{8}\).