CUET · MATHS · PYQ PAPER 2023
\(A\) and \(B\) take turns in throwing a pair of dice, the first to throw a sum of 9 wins the prize.
If \(A\) throws first, then the ratio of the probabilities of \(A\) and \(B\) winning is :
- A \(9: 17\)
- B \(8: 9\)
- C \(9: 8\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(C) \(9: 8\)
Step-by-step Solution
Detailed explanation
\(p = P(\text{sum of 9}) = \frac{\text{{(3,6), (4,5), (5,4), (6,3)}}}{\text{36}} = \frac{4}{36} = \frac{1}{9}\) \(q = P(\text{not sum of 9}) = 1 - p = 1 - \frac{1}{9} = \frac{8}{9}\) \(P(A \text{ wins}) = \frac{p}{1-q^2}\) \(P(B \text{ wins}) = \frac{qp}{1-q^2}\) Ratio…
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
- The constraints of the given shaded feasible region below of an L.P.P., for non-negative variable constraints \(x\) and \(y\) are
CUET 2025 Easy - The value of \(k\) for which the function, defined by, \(f(x)=\left\{\begin{array}{ll}\frac{3 x+4 \tan x}{x} & : x \neq 0 \\ k & : x=0\end{array}\right.\) is continuous at \(x=0\), isCUET 2025 Easy
- Area of region bounded by the curve \(y^2=4 x\) y-axis and the line y = 3 is:CUET 2023 Easy
- Suppose that A, B and C are matrices of order \(m \times n, n \times 5\) and \(5 \times q\) respectively. The restriction on m, n and q so that AB - BC is defined areCUET 2025 Medium
- The solution of the differential equation xdy - ydx = 0 representsCUET 2025 Easy
- A coin is tossed 3 times. If \(X\) denotes the number of heads, then Match List I with List II
Choose the correct answer from the options given below:LIST I LIST II A. \(P(X=0)\) I. \(\frac{1}{8}\) B. \(P(X=1)\) ㅍ. \(\frac{7}{8}\) C. \(P(X \leq 2)\) III. \(\frac{4}{8}\) D. \(P(X \geq 2)\) IV. \(\frac{3}{8}\) CUET 2023 Medium
More PYQs from CUET
- If \(r_{e f f}=\) effective rate of interest, \(r=\) nominal rate of interest and \(m=\) number of conversion periods per year, the relationship between nominal rate and effective rate of interest is :CUET 2025 Easy
- Choose the correct statements from following:
A. Resistivity of a conductor increases with increase in its length.
B. When a small resistor is connected in parallel across a galvanometer, it is converted into ammeter.
C. Current density is a vector quantity.
D. Potentiometer is used to measure the electric current.
E. Kirchoff's junction rule is based on the conservation of charge.
Choose the correct answer from the options given below:CUET 2023 Hard - A parallel plate capacitor having plate area 200 \( cm^2 \) and separation 2.0 mm holds a charge of \( 0.06\mu C \) on applying a potential difference of 60 V. The dielectric constant of the material filled in between the plates is.
Given permittivity of the vaccum \(\epsilon_0=8.85 \times 10^{-12} F / m \))CUET 2025 Hard - A magnetic needle is in the most equilibrium state in a uniform magnetic field requires 'W' units of work to turn through \( 60^\circ \). The work done to turn the magnetic needle from the position of most stable equilibrium to the most unstable equilibrium position is.CUET 2023 Medium
- The probability distribution of a random variable X is given by
If \(k>0\), then \(P(0 < X \leq 2)\) is equal toX 0 1 2 P(X) k 2k 3k CUET 2025 Hard - A player participates in 3 matches against three teams \(T_1, T_2\) and \(T_3\). The probability of winning a match against teams \(T_1, T_2\) and \(T_3\) are \(0.2,0.3\) and 0.9 respectively. If 'wins' can be regarded as independent events, then the probability that he
(A) wins all the 3 matches is 0.054
(B) wins no match is 0.054
(C) wins exactly two matches is 0.348
(D) wins exactly one match is 0.542
Choose the correct answer from the options given below :CUET 2025 Hard