CUET · MATHS · PYQ PAPER 2023
If A and B are two events such that \(P(A) \neq 0\) and \(P(A / B)=1\) then :
- A \(A \subset B\)
- B \(B \subset A\)
- C \(B=\phi\)
- D \(A=\phi\)
Answer & Solution
Correct Answer
(B) \(B \subset A\)
Step-by-step Solution
Detailed explanation
\(P(A / B) = \frac{P(A \cap B)}{P(B)}\) \(1 = \frac{P(A \cap B)}{P(B)}\) \(P(B) = P(A \cap B)\) \(B \subset A\)
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 \(A\) be a matrix such that \(A=\left[\begin{array}{cc}1 & 2 \\ -2 & 3\end{array}\right]\) Then which of the following are TRUE?
(A) \(A\) is a non-singular matrix
(B) \(A^T=A\)
(C) \(A\) is not an invertible matrix
(D) \(A\) is not a skew-symmetric matrix
Choose the correct answer from the options given below :CUET 2025 Easy - \(\int_{\frac{\pi}{8}}^{\frac{\pi}{8}} \frac{\tan x}{\tan x+\cot x} d x\) is equal to:CUET 2025 Easy
- The remainder when (672 + 541 + 383 + 295 + 101 + 86) is divided by 3, is :CUET 2025 Easy
- An insect moves along the ellipse \(\frac{x^2}{16}+\frac{y^2}{4}=1\), when the rate of change of abscissa is 4 times that of ordinate, then the insect lies in the quadrant:
A. \(I or II\)
B. \(III or IV\)
C. \(II or III\)
D. \(II or IV\)
Choose the correct answer from the options given below:CUET 2023 Easy - If \(y=\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right), 0 < x < 1\), then \(\frac{d y}{d x}\) is equal to :CUET 2025 Easy
- In the adjoining figure, the inequality representing AB is :
CUET 2023 Medium
More PYQs from CUET
- Which of the following is related to DNA Replication?
(A) DNA ligase
(B) DNA-dependent RNA polymerase
(C) Rho factor
(D) Replication fork
Choose the correct answer from the options given below:CUET 2023 Easy - Nitin has taken the subjects mathematics, physics and chemistry. The probability of him getting grade A in these subjects are respectively 0.2, 0.3 and 0.9. Getting grades in different subjects are regarded as independent events. The probability of getting A grade by him, either in mathematics or physics, isCUET 2025 Hard
- Arrange the following stages of oogenesis in order of their occurrence.
(A) Ovum
(B) Oogonia
(C) Primary oocyte
(D) Secondary oocyte
Choose the correct answer from the options given below :CUET 2024 Medium - Certain Aldehydes, Retore and certain alcohol undergo iodoform test. Certain Aldehydes ketones undergo aldol condensation. While certain aldehydes undergo Cannizaro's reaction. Aldehydes responds to tollen reagent and fehling reagent test.
Which amongst the following undergo aldol condensation?
A. \(CH_3CHO\)
B. \(HCHO\)
C. \(CH_3COCH_3\)
D. \(C_6H_5CHO\)
Choose the correct optionCUET 2023 Medium - The degree of the differential equation \(\left(2+\left(\frac{d y}{d x}\right)^2\right)^{\frac{3}{2}}=a^2 \frac{d^2 y}{d x^2}\) is :CUET 2025 Easy
- An electric dipole of length 2 cm is placed at an angle of \(30^\circ\) with an electric field \(3 \times 10^5 \text{ N C}^{-1}\). If the dipole experiences a torque of \(9 \times 10^{-3} \text{ N m}\), the magnitude of either charge of the dipole isCUET 2025 Hard