JEE Main 2022 · 27 Jun · Shift 2, Mathematics question 30

Let $S=\{E_1,E_2,\dots,E_8\}$ be a sample space of a random experiment such that $P(E_n)=\dfrac n{36}$ for every $n=1,2,\dots,8$. Then the number of elements in the set $\left\{A\subseteq S:P(A)\ge\dfrac45\right\}$ is ______.