JEE Math Practice Question

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

1. A.$$\frac{3}{32}$$
2. B.$$\frac{1}{32}$$
3. C.$$\frac{1}{16}$$
4. D.$$\frac{3}{64}$$