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Question Id : 13244 | Context : JEE Main 2023 (29 January Evening Shift)
Let \( S=\{w_1,w_2,\ldots\} \) be the sample space of a random experiment. Let the probabilities satisfy \[ P(w_n)=\frac{P(w_{n-1})}{2},\qquad n\ge 2. \] Let \[ A=\{\,2k+3\ell : k,\ell\in\mathbb{N}\,\},\qquad B=\{\,w_n : n\in A\,\}. \] Then \(P(B)\) is equal to:


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