CUET Mathematics - An urn contains 5 red and 5 black balls. A ball is drawn at random, its color is noted and is returned to the urn. Moreover, 2 additional balls of the same color are put in the urn and then a ball is drawn at random. The probability that the second drawn ball is red, is: | PYQs + Solutions

CUET Mathematics 2025 2 June Shift 1

Algebra

Medium

core

$\frac{5}{12}$

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

✅ Correct Option: 2

Related questions:

2 June Shift 1

The probability distribution of a random variable $x$ is, $P(x) = \frac{x}{3}, x = 0, 1, 2, 3$ . Then

Match List-I with List-II

List-I	List-II
(A) $k$	(I) $\frac{2}{15}$
(B) $P(x = 1)$	(II) $\frac{1}{5}$
(C) $P(1 < x < 3)$	(III) $\frac{8}{15}$
(D) $P(x \geq 2)$	(IV) $\frac{4}{15}$

Choose the correct answer from the options given below:

3 June Shift 1

Let X denote the number of hours a student studies on a selected day. The probability distribution of X is given by (where k is some unknown constant)

$P(X = x_i) = \begin{cases} 0.5, & \text{if } x_i = 0, \\ kx_i, & \text{if } x_i = 1, \\ k(4 - x_i), & \text{if } x_i = 2 \text{ or } 3, \\ 0, & \text{otherwise}. \end{cases}$

Then the value of k is

13 May Shift 2

Let a pair of dice be thrown and the random variable X be the sum of the numbers that appear on the two dice.

Match List-I with List-II

List-I	List-II
X	Probability, P(X)
(A) 4	(I) $\frac{1}{6}$
(B) 5	(II) $\frac{5}{36}$
(C) 6	(III) $\frac{1}{12}$
(D) 7	(IV) $\frac{1}{9}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 2 June Shift 1 PYQs

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