Let S = w₁,w₂,...... be the sample space associated to a random experiment. Let P(w n) = (P(w n - 1))/2,n ≥ 2. Let A = 2k + 3l:k,l N and B = w n:n A. Then P(B) is equal to:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Evening shift · Q5003

JEE Main 202329 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let

\mathrm{S} = \{ {w_1},{w_2},......\}

be the sample space associated to a random experiment. Let

P({w_n}) = {{P({w_{n - 1}})} \over 2},n \ge 2

. Let

A = \{ 2k + 3l:k,l \in N\}

and

B = \{ {w_n}:n \in A\}

. Then P(B) is equal to :

JEE Main 2023 · 29 Jan, Evening shift · Q5003

JEE Main 202329 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let

\mathrm{S} = \{ {w_1},{w_2},......\}

be the sample space associated to a random experiment. Let

P({w_n}) = {{P({w_{n - 1}})} \over 2},n \ge 2

. Let

A = \{ 2k + 3l:k,l \in N\}

and

B = \{ {w_n}:n \in A\}

. Then P(B) is equal to :