By Bayes theorem, P(Box I∣Red)=P(Red)P(Red∣I)P(I).
P(Red)=31(1)+31(0)+31(21)=21.
P(Box I∣Red)=1/21/3=32.
The other ball is red only in Box I.
There are three identical boxes I, II and III, each containing two balls. In box I, both balls are red, In box II, both balls are blue and box III…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
There are three identical boxes I, II and III, each containing two balls. In box I, both balls are red, In box II, both balls are blue and box III contains one blue ball and one red ball. A boy randomly chooses a box and takes out a ball at random from it. If the ball is red, then the probability that the other ball in the box is also red colour is:
Official previous-year question
Held on 6 Aug 2022 · Verified 13 Jul 2026.
Options
- A
21
- B
32
- C
0
- D
1
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
A relation R in the set A = {1, 2,3, 4} is given by R = {(1,1), (2,2), (1,2), (2,3), (3,4), (4,4), (1,3), (2,4), (1,4)} is
2025medium
If $P(A) = \frac{3}{5}$, $P(B) = \frac{1}{2}$ and $P(A \cap B) = \frac{1}{4}$, then $P(\overline{A} | \overline{B})$ is
2025medium
The maximum value of a LPP $z = 3x + 4y$ subject to the constraints: $x + y \leq 6$, $x \geq 0$, $y \geq 0$ is:
2025medium
Match List-I with List-II | List-I | List-II | |---|---| | (A) The number of possible matrices of order 3x3 with each entry 1 or 0 | (I) $2^4$ | | (B) The number of possible matrices of order 2x3 with each entry 1 or 0 | (II) $2^9$ | | (C) The number of possible matrices of order 2x3 with each entry 0,1,2 | (III) $2^6$ | | (D) The number of possible matrices of order 2x2 with each entry 1 or 0 | (IV) $3^6$ | Choose the correct answer from the options given below:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.