CUET Mathematics - 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) = cases 0.5, & if x_i = 0, \\ kx_i, & if x_i = 1, \\ k(4 - x_i), & if x_i = 2 or 3, \\ 0, & otherwise. cases Then the value of k is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Algebra

Medium

applied

$k = \frac{1}{4}$

$k = \frac{1}{8}$

$k = \frac{1}{6}$

$k = \frac{1}{2}$

✅ Correct Option: 3

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A die is thrown 4 times and getting 3 is considered a success. The probability of 2 successes is:

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A coin is tossed K times. If the probability of getting $3$ heads is equal to the probability of getting $7$ heads, then the probability of getting $8$ tails is :

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Match List-I with List-II

Let $A$ and $B$ be two events such that $P(A) = 0.2$ , $P(B) = 0.4$ , $P(B|A) = 0.5$

List-I	List-II
(A) $P(A \cap B)$	(I) $0.5$
(B) $P(A\|B)$	(II) $0.8$
(C) $P(A \cup B)$	(III) $0.25$
(D) $P(A')$	(IV) $0.1$

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 1 PYQs

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