CUET · MATHS · PYQ PAPER 2025
If A and B are independent events, then which of the following is not true?
- A \(A^{\prime}\) and \(B^{\prime}\) are independent
- B \(A\) and \(B^{\prime}\) are independent
- C \(A^{\prime}\) and \(B^{\prime}\) are independent
- D \(A\) and \(B\) are mutually exclusive
Answer & Solution
Correct Answer
(D) \(A\) and \(B\) are mutually exclusive
Step-by-step Solution
Detailed explanation
If \(P(A \cap B) = P(A)P(B)\), then \(A\) and \(B\) are independent. If \(A\) and \(B\) are independent and \(P(A) > 0\), \(P(B) > 0\), then \(P(A \cap B) > 0\). If \(A\) and \(B\) are mutually exclusive, then \(P(A \cap B) = 0\). Therefore, if \(A\) and \(B\) are independent…
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
- Let \(\vec{a}=3 \hat{i}+\hat{j}-4 \hat{k}\) and \(\vec{b}=6 \hat{i}+5 \hat{j}-2 \hat{k}\) be two vectors.
Then a vector perpendicular to both \(\vec{a}\) and \(\vec{b}\) with magnitude 3 units is :CUET 2025 Hard - The solution of the differential equation \((x+1) \frac{d y}{d x}+1-2 e^{-y}=0 ; y(0)=0\) isCUET 2025 Easy
- Let \(A=\left[a_{i j}\right]\) be a square matrix, where \(a_{i j}=\left\{\begin{array}{ll}0, & \text { when } i=j \\ 1, & \text { otherwise }\end{array}\right.\)
If \(|\operatorname{adj} A|=|A|^2\), then which of the following statements are correct?
(A) A is a skew-symmetric matrix.
(B) A is a non-singular matrix.
(C) A is a square matrix of order 4.
(D) A is a symmetric matrix.
Choose the correct answer from the options given below :CUET 2025 Hard - For an LPP: Maximize \(z=3 x+9 y; x \geq 0, y \geq 0\), the feasible region \(O A B\) is shown in the figure, then the other constraints are:
CUET 2025 Hard - The area of the region enclosed by \(y=x+2\) and \(y=x^2+x-2\) is:CUET 2023 Hard
- The degree of the differential equation \(\left(\frac{d^3 y}{d x^3}\right)^2+x\left(\frac{d^2 y}{d x^2}\right)^3+x^2\left(\frac{d y}{d x}\right)^4=x+y\) is:CUET 2023 Medium
More PYQs from CUET
- Match List-I with List-II
Choose the correct answer from the options given below:List-I (Strategies of an organism) List-II (Example) (A) Organisms breed only once in their lifetime (I) Desert lizard (B) Organisms breed many times during their lifetime (II) Oysters (C) Organisms produce large number of small sized offspring (III) Salmon fish and bamboo (D) Some organisms show behavioral responses with variation in their environment (IV) Birds and mammals CUET 2025 Hard - Which one of the following is a low spin complex?CUET 2023 Hard
- A cell is written as
\(Mg\left|Mg^{2+}(0.0001 M) \| Ag^{+}(0.01 M)\right| Ag\)
Calculate its \(E_{\text {cell }}\) if \(E_{\text {cell }}^{\ominus}=1.25 V\) at 298 KCUET 2025 Medium - A capacitor is charged through a potential difference of 200 V, when 0.1 C charge is stored in it. When it is discharged, the energy it will release would be :CUET 2023 Hard
- Match List I with List II
LIST I LIST II A. Cyclotron frequency I. \(\frac{N A B}{K R}\) B. Magnetic field due to a circular coil II. \(\frac{q B}{2 \pi m}\) C. Magnetic field inside a toroid III. \(\frac{\mu_0 N I}{2 \pi R}\) D. Voltage sensitivity IV.\(\frac{\mu_0 I}{2 R}\)
Choose the correct answer from the options given below:CUET 2023 Medium - The value of the integral \(\int \frac{2 x}{\left(x^2+1\right)\left(x^2+2\right)} d x\) is:CUET 2023 Easy