CUET · MATHS · PYQ PAPER 2023
Probability that A speaks truth is \(\frac{4}{5}\). A coin is tossed. A reports that a head appears. The probability that actually there was head is:
- A \(\frac{1}{2}\)
- B \(\frac{1}{5}\)
- C \(\frac{4}{5}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
\(P(H) = \frac{1}{2}\) \(P(R|H) = \frac{4}{5}\) \(P(R|T) = 1 - \frac{4}{5} = \frac{1}{5}\) \(P(H|R) = \frac{P(R|H)P(H)}{P(R|H)P(H) + P(R|T)P(T)}\) \(P(H|R) = \frac{\frac{4}{5} \times \frac{1}{2}}{\frac{4}{5} \times \frac{1}{2} + \frac{1}{5} \times \frac{1}{2}}\)…
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
- If \(A = [a_{ij}]\) be a square matrix of order n, then the correct statements are:
A. A is a symmetric matrix if and only if \(A^T = A\).
B. A is a skew-symmetric matrix if and only if \(A^T = -A\).
C. If order of A is n x n, then order of \(A^T\) is m \(\times\) n (m\(\neq\)n).
D. If \(\begin{bmatrix} 1 & 2 \\ 3 & 2x \end{bmatrix} = \begin{bmatrix} 1 & 2 \\ 3 & 2x \end{bmatrix}\) then x = 4.
Choose the correct answer from the options given below.CUET 2023 Hard - The function \(f(x)=\cos x\) is strictly decreasing in :CUET 2023 Hard
- Which of the following are correct?
(A) For a square matrix \(A\), if \(A^3=I\), then \(A^{-1}=A^2\).
(B) The determinant of only a square matrix can be defined.
(C) If \(A\) is a square matrix of order 3 , then the number of minors of the matrix \(A\) is 3 .
(D) If \(A\) and \(B\) are two non-singular matrices of the same order, then \((A B)^{-1}=B^{-1} A^{-1}\).
Choose the correct answer from the options given below :CUET 2025 Easy - The value of parameter k for which the function \(f(x)=1+k x, k \neq 0\) is the inverse of itself is:CUET 2023 Hard
- The number of all possible matrices of order \(2 \times 2\) with each entry ' \(a\) ', ' \(b\) ' or ' \(c\) ' is :CUET 2023 Medium
- If A= \(\left[\begin{array}{cc}7 & 3 \\ 5 & -7\end{array}\right]\) be such that \(A^{-1}\) = kA, then k equalsCUET 2025 Medium
More PYQs from CUET
- The degree of the differential equation \(\left(1+\frac{d y}{d x}\right)^4=\left(\frac{d^2 y}{d x^2}\right)^2\) is:CUET 2023 Hard
- Gel electrophoresis can separate the DNA fragments because :
(A) Agarose gel has sieving effect
(B) DNA fragments are positively charged.
(C) DNA fragments are of different size.
(D) DNA fragments can move in an electric field.
Choose the correct answer from the options given below :CUET 2023 Hard - Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by pipe B alone to fill the tank is :CUET 2025 Medium
- The integral \(\int e^x\left(\frac{x-1}{2 x^2}\right) d x\) is equal to:CUET 2023 Medium
- The essential condition for total internal reflection to occur is :CUET 2023 Easy
- The total charge of an electric dipole is (Where 'q' is the point charge on either side of the dipole and 'e' is the charge of an electron)CUET 2023 Hard