MCQMediumJEE Main 2023 · 29 January, Shift 2Probability Basics

Mathematics Question from JEE Main 2023 · 29 January, Shift 2

Let S={W1,W2,…}S = \{W_1, W_2, \ldots\} be the sample space associated with a random experiment. Let P(Wn)=P(Wn−1)2P(W_n) = \frac{P(W_{n-1})}{2}, n≥2n \geq 2. Let A={2k+3l;k,l∈N}A = \{2k + 3l; k, l \in \mathbb{N}\} and B={Wn;n∈A}B = \{W_n; n \in A\}. Then P(B)P(B) is equal to:

  • A

    332\frac{3}{32}

  • B

    364\frac{3}{64}

  • C

    116\frac{1}{16}

  • D

    132\frac{1}{32}

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