Let S ={w_1, w_2, … …} be the sample space associated to a random experiment. Let P(w_n)=(P(w_n-1))/2, n ≥ 2. Let A ={2 k +3 l: k, l ∈ N } and B…

Let $\displaystyle \mathrm{S}=\left\{w_1, w_2, \ldots \ldots\right\}$ be the sample space associated to a random experiment. Let $\displaystyle P\left(w_n\right)=\frac{P\left(w_{n-1}\right)}{2}, n \geq 2$. Let $\displaystyle \mathrm{A}=\{2 \mathrm{k}+3 l: \mathrm{k}, l \in \mathbb{N}\}$ and $\displaystyle \mathrm{B}=\left\{w_n: \mathrm{n} \in \mathrm{A}\right\}$. Then $\displaystyle P(\mathrm{~B})$ is equal to