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Let \( S=\w_1,w_2,\ldots\ \) be the sample space of a random experiment. Let the probabilities satisfy \[ P(w_n)=\fracP(w_n-1)2,\qquad n\ge 2. \] Let \[ A=\\,2k+3\ell : k,\ell\in\mathbbN\,\,\qquad B=\\,w_n : n\in A\,\. \] Then \(P(B)\) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.