COMEDK · Maths · 36. Probability
The probability that a randomly chosen number from one to twelve is a divisor of twelve is
- A \(\dfrac{5}{12}\)
- B \(\dfrac{1}{2}\)
- C \(\dfrac{5}{6}\)
- D \(\dfrac{1}{3}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{1}{2}\)
Step-by-step Solution
Detailed explanation
The set of numbers from one to twelve is \(S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\). The total number of elements is \(n(S) = 12\). The divisors of twelve are the numbers that divide twelve without leaving a remainder. These are \(1, 2, 3, 4, 6,\) and \(12\). The set of…
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 coordinates of the foot of the perpendicular drawn from the point \((3,4)\) on the line \(2 x+y-7=0\) isCOMEDK 2020 Medium
- \(\int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} \cos x d x\)COMEDK 2022 Easy
- If \(A=\{1,2,4\} \quad B=\{2,4,5\} \quad C=\{2,5\}\) then \((A-B) \cap(B-C)=\)COMEDK 2025 Easy
- What is the probability of a randomly chosen 2 digit number being divisible by 3 ?COMEDK 2024 Easy
- Let R be a relation on natural numbers defined by \(x+2 y=8, x, y \in N\). The domain of R isCOMEDK 2025 Easy
- Given, the positive integers \(r>1, n>2\) and the coefficients of \((3 r)\) th and \((r+2)\) th terms in the expansion of \((1+x)^{2 n}\) are equal, then \(n=\)COMEDK 2017 Hard
More PYQs from COMEDK
- The last digit of \(\sum_{\substack{1 < p < 100 \\ p \rightarrow \text { prime }}} p !-\sum_{n=1}^{50}(2 n) !\) isCOMEDK 2018 Medium
- The time required for \(100 \%\) completion of zero order reaction isCOMEDK 2012 Easy
- Which of the following is true?COMEDK 2013 Medium
- Peptisation is a process in whichCOMEDK 2012 Medium
- The measure of the angle between the lines \(x=k+1, \quad y=2 k-1, \quad z=2 k+3, \quad k \in R \quad\) and \(\quad \dfrac{x-1}{2}=\dfrac{y+1}{1}=\dfrac{z-1}{-2}\) isCOMEDK 2024 Medium
- What is the equation of the locus of a point which moves such that \(4\) times its distance from the \(X\)-axis is the square of its distance from the origin?COMEDK 2013 Medium