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