Let S={E_1, E_2, … … …, E_8} be a sample space of a random experiment such that P(E_n)=n/36 for every n=1,2, ….., 8. Then the number of elements in…

Let $\displaystyle S=\left\{E_1, E_2, \ldots \ldots \ldots, E_8\right\}$ be a sample space of a random experiment such that $\displaystyle P\left(E_n\right)=\frac{n}{36}$ for every $\displaystyle n=1,2, \ldots . ., 8$. Then the number of elements in the set $\displaystyle \left\{A \subseteq S: P(A) \geq \frac{4}{5}\right\}$ is \_\_\_\_.