CUET · MATHS · PYQ PAPER 2025
Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards.
The probability distribution of number of aces is given by :
- A
\(x\) \(0\) 1 2 \(P(x)\) \(\frac{24}{169}\) \(\frac{1}{169}\) \(\frac{144}{169}\) - B
\(x\) \(0\) 1 2 \(P(x)\) \(\frac{24}{169}\) \(\frac{144}{169}\) \(\frac{1}{169}\) - C
\(x\) \(0\) 1 2 \(P(x)\) \(\frac{144}{169}\) \(\frac{24}{169}\) \(\frac{1}{169}\) - D
\(x\) \(0\) 1 2 \(P(x)\) \(\frac{1}{169}\) \(\frac{144}{169}\) \(\frac{24}{169}\)
Answer & Solution
Correct Answer
(C) \(x\) \(0\) 1 2 \(P(x)\) \(\frac{144}{169}\) \(\frac{24}{169}\) \(\frac{1}{169}\)
Step-by-step Solution
Detailed explanation
\(P(\text{ace}) = \frac{4}{52} = \frac{1}{13}\) \(P(\text{non-ace}) = \frac{48}{52} = \frac{12}{13}\) \(P(x=0) = P(\text{non-ace})^2 = (\frac{12}{13})^2 = \frac{144}{169}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- Which of the following matrices is symmetric as well as skew-symmetric?CUET 2023 Medium
- Given that the value of a determinant of order three is zero; which one of the following is not correct?CUET 2023 Hard
- The present value of a perpetuity of ₹2,500 payable at the end of each year, if money is worth 10% compounded annually, is:CUET 2023 Medium
- If the points \((2,-3),(\lambda,-1)\) and \((0,4)\) are collinear, then the value of \(\lambda\) is:CUET 2025 Medium
- The edge of a cube is increasing at a rate of 7 cm/s. The rate of change of area of the cube when its side is 3 cm is:CUET 2025 Medium
- If \(A\) is an invertible matrix of order 2 , then \(\operatorname{det}\left((\operatorname{adj} A)^{-1}\right)\) is equal toCUET 2025 Easy
More PYQs from CUET
- The Young's double slit experiment is performed with monochromatic blue, green, yellow and red lights, respectively. Arrange the distance (x) of 4th maxima from the central maximum for all the colors in decreasing order:
(A) \( X_{red} \)
(B) \( X_{blue} \)
(C) \( X_{green} \)
(D) \( X_{yellow} \)
Choose the correct answer from the options given below:CUET 2025 Medium - Identify the correct statement in the context of Rutherford scattering of \( \alpha \)-particles by a target nucleus:CUET 2025 Hard
- How does the osmotic pressure of a solution vary with the temperature?CUET 2025 Medium
- The amount to be deposited at the end of every 6 months to accumulate Rs. 50,000 in 8 years, if money is worth 6% p.a. compounded semiannually, is : (Given \((1.03)^{16}=1.6047\) )CUET 2025 Medium
- Match List-I with List-II
Choose the correct answer from the options given below:List-I (Reaction property) List-II (Formula) (A) Half-life of decomposition of gaseous ammonia on hot platinum surface (I) \(\frac{1}{t} \ln \left(\frac{[A]_0}{[A]_t}\right)\) (B) Instantaneous rate (II) \(\frac{[R]_0}{2 k}\) (C) Rate constant of inversion of cane sugar (III) \(-\frac{d x}{d t}\) (D) Half-life of acid hydrolysis of methyl acetate (IV) \(\frac{\ln (2)}{k}\) CUET 2025 Easy - If the points \(A, B, C\) with position vectors \(20 \hat{i}+\lambda \hat{j}, 5 \hat{i}-\hat{j}\) and \(10 \hat{i}-13 \hat{j}\) respectively are collinear, then the value of \(\lambda\) is:CUET 2025 Easy