Let be the sample space associated to a random experiment. Let . Let and . Then is equal to:

Explanation: Solution Step 1: ki value nikalna: Hume pata hai . Ye ek GP banati hai: . Isliye, . Step 2: Set ke elements dhundna: . Sabse choti value jab hai: . ; ; . Dhyan se dekhne par, aur usse bade saare integers mein aayenge (except 6 nahi ban payega, par is , is etc.). Asal mein, linear combination se hum sab bana sakte hain. 6 nahi ban sakta kyunki . Step 3: calculate karna: Dhyan dein ki isme missing hain. Correct Option: (1)

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

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

Choose the correct answer: