CUET · MATHS · PYQ PAPER 2025
If \(A\) and \(B\) are any two events such that \(P(B)=P(A\) and \(B)\), then which of the following is correct:
- A \(P(B \mid A)=1\)
- B \(P ( A \mid B )=1\)
- C \(P(B \mid A)=0\)
- D \(P ( A \mid B )=0\)
Answer & Solution
Correct Answer
(B) \(P ( A \mid B )=1\)
Step-by-step Solution
Detailed explanation
\(P(B) = P(A \cap B)\) \(P(A \mid B) = \frac{P(A \cap B)}{P(B)}\) \(P(A \mid B) = \frac{P(B)}{P(B)}\) \(P(A \mid B) = 1\)
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
- Rahul can run 34.4 m in the given time as Amit runs 50 m. By how much distance Rahul is away from Amit at the winning point, in a two km race?CUET 2023 Medium
- Let \(f(x)=\log _e(\sin x), x \in(0, \pi)\), then which of the following statements is/are TRUE?
(A) \(f(x)\) is increasing on \((0, \pi / 2)\)
(B) \(f ( x )\) is decreasing on \(( \pi / 2 , \pi)\)
(C) \(f(x)\) is increasing on \((0, \pi)\)
(D) \(f(x)\) is decreasing on \((0, \pi)\)
Choose the correct answer from the options given below :CUET 2025 Easy - If 525 = (10 + K) (mod 7) where \(K \in N\), then the least value of K is:CUET 2025 Easy
- If A, B and C are angles of a triangle, then the determinant
\(\left|\begin{array}{ccc}-1 & \cos C & \cos B \\ \cos C & -1 & \cos A \\ \cos B & \cos A & -1\end{array}\right|\) is equal to:CUET 2023 Hard - The first \(m\)-year moving average of the data \(10,20,30,40,50\) is 30 . The value of \(m\) is :CUET 2025 Easy
- If area of the triangle with vertices \(A(2, k), B(1,1), C(10,8)\) is \(\frac{47}{2}\) sq. units, then one of the values of \(k\) is:CUET 2023 Medium
More PYQs from CUET
- If \(f: R \rightarrow R\) be given by \(f(x)=\left(3-x^3\right)^{\frac{1}{3}}\), then (fof) (x) is:CUET 2023 Easy
- Identify the correct sequence of formation of embryo sac or female gametophyte in flowering plants?
(A) Female gametophyte
(B) 2-nucleate embryo sac
(C) Megaspore mother cell
(D) 4-nucleate embryo sac
Choose the correct answer from the options given below:CUET 2025 Medium - Let the determinant be \(\Delta=\left|\begin{array}{ccc}x & \sin \theta & \cos \theta \\ -\sin \theta & -x & 1 \\ \cos \theta & 1 & x\end{array}\right|\)
Which of the following statements are correct ?
(A) \(\Delta\) is independent of \(\theta\)
(B) \(\Delta\) is independent of \(x\)
(C) \(\Delta\) is independent of \(\theta\) and \(x\) both and is equal to 1
(D) \(\Delta\) depends upon both of \(x\) and \(\theta\)
(E) \(\Delta\) is independent of \(\theta\) and is equal to \(x^3\)
Choose the correct answer from the options given below :CUET 2023 Medium - In an LC oscillator, \( C = 50 \text{ } \mu\text{F} \) and \( L = 0.08 \text{ H} \) are used. If the resistance of the circuit is negligible, the time period of oscillation isCUET 2025 Medium
- If a matrix has 12 elements, then the possible orders it can have, are
(A) \(1 \times 12\)
(B) \(4 \times 3\)
(C) \(6 \times 3\)
(D) \(6 \times 2\)
Choose the correct answer from the options given below :CUET 2025 Easy - If \(f(x)=a \log _e|x|+b x^2+x\) has critical points at \(x=-2\) and \(x=1\), thenCUET 2025 Hard