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

A

$$\frac{3}{32}$$

B

$$\frac{3}{64}$$

C

$$\frac{1}{16}$$

D

$$\frac{1}{32}$$