CUET Mathematics - A bag contains 4 red and 6 black balls. Two balls are drawn in succession without replacement. The probability that the first is red and the second is black is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

core

$\frac{2}{5}$

$\frac{2}{3}$

$\frac{4}{15}$

$\frac{6}{25}$

✅ Correct Option: 3

Related questions:

27 May Shift 1

Let X be a random variable. Let E (X) and Var (X) denote the mean and the variance of X respectively. Then match List-I with List-II

List-I	List-II
(A) If Var (X) = $a$ , then Var (2X + 3) is	(I) 11 $a$
(B) If E (X) = $a$ , then E (2X) is	(II) 6 $a$
(C) If Var (X) = $a$ , then Var(3X - $a$ ) + Var ( $\sqrt{2}x + \beta$ ) is	(III) 4 $a$
(D) If E (X) = $\frac{5a}{12}$ , then E (12X + $a$ ) is	(IV) 2 $a$

Choose the correct answer from the options given below:

3 June Shift 1

60% members of a committee favour a certain proposal and 40% members oppose the proposal. A member is selected and let the random variable X = 0 if he opposes and X = 1 if he is in favour. Then the variance of the random variable X is

19 May Shift 1

Three bad eggs are mixed with 7 good ones. If two eggs are drawn one by one without replacement, then the probability distribution of the number (X) of bad eggs drawn is:

X	0	1	2
P(X)	1/4	1/2	1/4

X	0	1	2
P(X)	15/61	20/61	26/61

X	0	1	2
P(X)	7/15	7/15	1/15

X	0	1	2
P(X)	1/8	1/4	5/8

CUET Mathematics 2025 3 June Shift 2 PYQs

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