AP EAMCET · Maths · Probability
A bag contains 10 identical pens, of which 4 are red and 6 are blue. 3 pens are taken out at random one after another. Find probability that all 3 are blue
- A \(\frac{6}{10}\)
- B \(\frac{3}{10}\)
- C \(\frac{1}{6}\)
- D \(\frac{3}{6}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{6}\)
Step-by-step Solution
Detailed explanation
Total number of balls \(=10\) Number of Red balls \(=4\) Number of Blue balls \(=6\) Total Number of ways of choosing 3 balls \(={ }^{10} C_3\) Number of ways of choosing 3 blue balls \(={ }^6 C_3\) \(\therefore\) Required Probability…
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 the lines given by \(\left(x^2+y^2\right) \sin ^2 \alpha=(x \cos \alpha-y \sin \alpha)^2\) are perpendicular to each other, then \(\sin ^2 \alpha+\tan ^2 \alpha=\)AP EAMCET 2023 Hard
- If the solution for the system of equations \(x+2 y-z=3\), \(3 x-y+2 z=1\) and \(2 x-2 y+3 z=2\) is \((\alpha, \beta, \gamma)\), then \(\alpha^2+\beta^2+\gamma^2=\)AP EAMCET 2023 Medium
- The equation of the plane passing through the point \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and perpendicular to the line of intersection of the planes \(\mathbf{r} \cdot(3 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})=1\) and \(\mathbf{r} \cdot(\hat{\mathbf{i}}+4 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})=2\), isAP EAMCET 2019 Medium
- The equation of circle passing through \((0,0)\) and cutting orthogonally the circles \(x^2+y^2+6 x-15=0\) and \(x^2+y^2-8 y-10=0\) isAP EAMCET 2022 Easy
- An item is tested on a device for its defectiveness. The probability that such an item is defective is 0.3. The device gives accurate result in 8 out of 10 such tests. If the device reports that an item tested is not defective, then the probability that it is actually defective isAP EAMCET 2025 Medium
- If \(f(x)=x^3+a x^2+b x+5 \sin ^2 x\) is an increasing function on \(R\), thenAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- Consider the following.
Statement-I : Gold sol is prepared by Bredig's arc method.
Statement-II : Bredig's arc method involves only dispersion but not condensation.
The correct answer isAP EAMCET 2025 Medium - If the resistance of \(0.1 \mathrm{M} \mathrm{KCl}\) solution in a conductance cell is \(300 \Omega\) and conductivity is \(0.013 \mathrm{Scm}^{-1}\), then the value of cell constant isAP EAMCET 2021 Medium
- The radius of germanium \((\mathrm{Ge})\) nuclide is measured to be twice the radius of \({ }_4^9 \mathrm{Be}\). The number of nucleons in Ge will beAP EAMCET 2016 Easy
- The equation of the plane whose intercepts on \(x, y, z\) axes are \(1,2,4\) respectively isAP EAMCET 2020 Easy
- The alkenes which exhibit cis, trans isomerism from the following are
a) \(\mathrm{YXC}=\mathrm{CXZ}\)
b) \(\mathrm{X}_2 \mathrm{C}=\mathrm{CX}_2\)
c) \(\mathrm{YXC}=\mathrm{CXY}\)
d) \(\mathrm{YXC}=\mathrm{CWZ}\)
e) \(\mathrm{X}_2 \mathrm{C}=\mathrm{CXY}\)AP EAMCET 2017 Medium - In comparison to a \(0.01 \mathrm{M}\) solution of glucose, the depression in freezing point of a \(0.01 \mathrm{M} \mathrm{MgCl}_2\) solution is (Molecular weight of \(\mathrm{MgCl}_2=95\), molecular weight of glucose \(=180\) ).AP EAMCET 2020 Medium