CUET Mathematics - A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is four. The probability that it is actually four is | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Algebra

Medium

core

$\frac{1}{3}$

$\frac{7}{8}$

$\frac{3}{8}$

$\frac{1}{8}$

✅ Correct Option: 3

Related questions:

21 May Shift 2

If X is a random variable which can assume values 0, 1, 2, 3 or 4 such that P(X = 1) = P(X = 2) and 3P(X = 3) = 4P(X = 4) = P(X = 0) = $\frac{1}{4}$ , then P(X > 0) is:

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

30 May Shift 1

The probability distribution of a random variable X is given by

X	0	1	2
P(X)	k	2k	3k

If k > 0, then $P(0 < X \leq 2)$ is equal to

CUET Mathematics 2025 13 May Shift 2 PYQs

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