P(king)=524=131, P(not king)=1312.
With replacement (independent draws):
P(X=0)=(1312)2=169144
P(X=1)=2⋅131⋅1312=16924
P(X=2)=(131)2=1691.
Two cards are drawn successively with replacement from a well shuffled deck of 52 cards. The probability distribution of the number of kings will be:
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Two cards are drawn successively with replacement from a well shuffled deck of 52 cards. The probability distribution of the number of kings will be:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
x 0 1 2 P(X=x) 1691 16924 169144 - B
x 0 1 2 P(X=x) 16924 169144 1691 - C
x 0 1 2 P(X=x) 1691 16924 169144 - D
x 0 1 2 P(X=x) 169144 16924 1691
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
If $\vec{a}$ is a unit vector perpendicular to both the vectors $\vec{b} = \hat{j} + \hat{2k}$ and $\vec{c} = \hat{i} + 2\hat{j}$, then $\hat{a}$ is equal to
2025medium
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
2025medium
A function $f: \mathbb{R} \rightarrow \{x \in \mathbb{R}: -1 < x < 1\}$ is defined as $f(x) = \frac{x}{1+|x|}$, then $f$ is:
2025medium
If A is a square matrix such that $A^2 = A$ and I is the identity matrix of same order as A, then the value of $(A-2I)^2 - (2A + I)^2 + 11A$ is:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.