CUET · MATHS · PYQ PAPER 2023
Three numbers are chosen at random without replacement from {1, 2, 3, 4, 5, 6, 7, 8}. The probability that their minimum is 3, (given that their maximum is 6)is:
- A \(\frac{3}{8}\)
- B \(\frac{1}{5}\)
- C \(\frac{1}{4}\)
- D \(\frac{2}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{5}\)
Step-by-step Solution
Detailed explanation
Total cases where maximum is 6: \( \binom{5}{2} = 10 \) Cases where minimum is 3 and maximum is 6: \( \binom{2}{1} = 2 \) Probability \( = \frac{2}{10} = \frac{1}{5} \)
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 \(y=\frac{1}{2} x \sqrt{a^2-x^2}+\frac{a^2}{2} \sin ^{-1}\left(\frac{x}{a}\right)\), then \(\frac{d y}{d x}=\)CUET 2023 Hard
- The system of equations \(x+k y=0\) \(3 x+5 y=0\) has infinitely many solutions, then \(k\) is equal toCUET 2025 Hard
- The value of the integral \(\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x\) is equal to:CUET 2023 Hard
- The direction ratios of the line perpendicular to the lines \(\frac{x-7}{-6}=\frac{y+17}{4}=\frac{z-6}{2}\) and \(\frac{x+5}{6}=\frac{y+3}{3}=\frac{z-4}{-6}\) are proportional to:CUET 2023 Easy
- If A is any non-zero square matrix, then the matrix \(P=\frac{1}{2}\left(A-A^T\right)\) is:CUET 2023 Easy
- If \(A=\left[a_{i j}\right]_{3 \times 3}\), where \(a_{i j}=\frac{(-1)^{i+j}-1, i=j}{(-1)^{i+j}, i \neq j}\) then the value of \(A+A^T\) is:CUET 2025 Medium
More PYQs from CUET
- The differential equation of the family of parabolas \(y^2=4 a x\) where \(a\) is an arbitrary constant is :CUET 2023 Medium
- Resolving power of a telescope can be increased by increasing:CUET 2023 Hard
- Mameesh took a loan of Rs 9,00,800 from bank at an interest rate of \(6 \%\) per annum for 10 years. If she has to pay the loan back with the help of equal monthly installments (EMI). Then, the EMI using reduced balance method is (approx) :
(Given: \((1.005)^{-120}=0.5496\))CUET 2025 Easy - What is the colour of the third band of a coded resistor of resistance 3.2 \(\times 10^3\) \(\Omega\) ?CUET 2023 Easy
- Two photons of equal energy 8 MeV each, strikes two different metal sheets having work functions 4 MeV and 6 MeV, respectively. The ratio of maximum velocity of electrons emitted from two metal sheets respectively is :CUET 2023 Medium
- The demand function for a commodity is \(p=35-2 x-x^2\), then the consumer's surplus at equilibrium price \(p_0=20\) isCUET 2025 Easy