PYQ Vault
EbooksTutor

Sample points whose probabilities halve or double from one to the next

This type of question, asked 2 times: 29 Jan 2023, 3 Apr 2025. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jan 2023

    169
    Let S={w1,w2,…….}S =\left\{ w_{1},w_{2},\ldots\ldots. \right\} be the sample space associated to a random experiment. Let (wn)=\left( w_{n} \right)= P(wn−1)2,n≥2\frac{P\left( w_{n - 1} \right)}{2},n \geq 2. Let A={2k+3l:k,l∈N}\mathbf{A = \{ 2k + 3l:k,l \in N\}} and B={wn:n∈A}B =\left\{ w_{n}:n \in A \right\}. Then P(B)P(B) is equal to

    Tap an option to check your answer.

  2. Question 2

    3 Apr 2025

    71
    All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the word at serial number nn be denoted by WnW_{n}. Let the probability P(Wn)P\left( W_{n} \right) of choosing the word WnW_{n} satisfy P(Wn)=2P(Wn−1),n>1P\left( W_{n} \right) = 2P\left( W_{n - 1} \right),n > 1.If P(CDBEA)=2α2β−1,α,β∈NP(CDBEA) = \frac{2^{\alpha}}{2^{\beta} - 1},\alpha,\beta \in \mathbb{N}, then α+β\alpha + \beta is equal to: