Let \(S=\left\{w_1, w_2, \ldots \ldots\right\}\) be the sample space associated to a random experiment. Let \(P\left(w_n…

Let \(S=\left\{w_1, w_2, \ldots \ldots\right\}\) 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 \(A=\{2 k+3 l ; k, l \in N \}\) and \(B=\left\{w_n ; n \in A\right\}\). Then \(P(B)\) is equal to

[JEE Main 2023, 29 Jan (Shift 2)]