P(B1)=P(B2)=1/2. P(Black∣B1)=5/9, P(Black∣B2)=6/11. By Bayes' theorem: P(B2∣Black)=(1/2)(5/9)+(1/2)(6/11)(1/2)(6/11)=5/9+6/116/11=109/996/11=11×1096×99=10954.
Bag I contains 4 red and 5 black balls, while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
Bag I contains 4 red and 5 black balls, while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be black. Then the probability that it was drawn from Bag II, is
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
10954
- B
10951
- C
10964
- D
11954
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Algebra in other years
More CUET UG Algebra questions
If f(x) = 2x + 3, then f⁻¹(x) is:
2026easy
If $\vec{a}$ is a unit vector perpendicular to both the vectors $\vec{b} = \hat{j} + \hat{2k}$ and $\vec{c} = \hat{i} + 2\hat{j}$, then $\hat{a}$ is equal to
2025medium
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
2025medium
A function $f: \mathbb{R} \rightarrow \{x \in \mathbb{R}: -1 < x < 1\}$ is defined as $f(x) = \frac{x}{1+|x|}$, then $f$ is:
2025medium
If A is a square matrix such that $A^2 = A$ and I is the identity matrix of same order as A, then the value of $(A-2I)^2 - (2A + I)^2 + 11A$ is:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.