TS EAMCET · Maths · Probability
The numbers \(2,3,5,7,11,13\) are written on six distinct paper chits. If 3 of them are chosen at random, then the probability that the sum of the numbers on the obtained chits is divisible by 3 , is
- A \(\frac{7}{20}\)
- B \(\frac{6}{20}\)
- C \(\frac{5}{20}\)
- D \(\frac{1}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{7}{20}\)
Step-by-step Solution
Detailed explanation
Given numbers \(2,3,5,7,11,13\) Total no. of ways 3 chits can be choosen \(={ }^6 C_3\) Now, we observe the outcomes for sum divisible by 3 . So, the pairs whose sum divisible by 3 are \((2,3,7)\), \((2,3,13),(2,5,11),(3,5,7),(3,5,13),(3,7,11)\), \((3,11,13)\) Hence, required…
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
- Let \(f(x)\) be an even function with period 2 and \(f(x)\) be integrable on every interval. If \(g(x)=\int_0^x f(t) d t\), then \(g(x+2)=\)TS EAMCET 2019 Easy
- If one of the vertices of an equilateral triangle inscribed in the parabola \(y^2=12 x\) coincides with the vertex of the parabola, then the area (in sq. units) of that triangle isTS EAMCET 2023 Medium
- If \(x=p+q, y=p \omega+q \omega^2 \quad\) and \(\quad z=p \omega^2+q \omega\), where \(\omega\) is a complex cube root of unity, then \(x y z\) equals toTS EAMCET 2014 Medium
- A student has to answer 10 out of 13 questions in an examination choosing atleast 5 questions from the first 6 questions. The number of choice available to the student isTS EAMCET 2012 Medium
- If \(f: \mathrm{R}-\{0\} \rightarrow \mathrm{R}\) is defined by \(3 f(x)+4 f\left(\frac{1}{x}\right)=\frac{2-x}{x}\) then \(f(3)=\)TS EAMCET 2025 Medium
- Let \(A(2 \sec \theta, 3 \tan \theta)\) and \(B(2 \sec \phi, 3 \tan \phi)\) where \(\theta+\phi=\frac{\pi}{2}\), be two points on the hyperbola \(\frac{x^2}{4}-\frac{y^2}{9}=1\). If \((\alpha, \beta)\) is the point of intersection of normals to the hyperbola at \(A\) and \(B\), then \(\beta\) is equal toTS EAMCET 2016 Hard
More PYQs from TS EAMCET
- If \(f(x)=\int_1^x \frac{1}{2+t^4} d t\), thenTS EAMCET 2018 Medium
- The chlorination of ethane is an example for which type of the following reactions?TS EAMCET 2012 Easy
- The domain and range of are respectivelyTS EAMCET 2021 Easy
- The ratio of relative strengths of the gravitational force and the electromagnetic force between two charged particles isTS EAMCET 2023 Easy
- If \(X\) is a Poísion variable representing number of successes in 50 trials such that \(2 P(X=1)=5 P(X=5)+2 P(X=3)\), then the probability of getting success in one trial isTS EAMCET 2019 Medium
- A plane meets the coordinate axes at \(A, B, C\) so that the centroid of the triangle \(A B C\) is \((1,2,4)\). Then, the equation of the plane isTS EAMCET 2010 Medium