TS EAMCET · Maths · Probability
Seven white balls and three black balls are randomly arranged in a row. The probability that no two black balls are placed adjacently is
- A \(\frac{1}{2}\)
- B \(\frac{7}{15}\)
- C \(\frac{2}{15}\)
- D \(\frac{1}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{7}{15}\)
Step-by-step Solution
Detailed explanation
Firstly we fix the seven white balls in alternate position in 7 !. In out of 8 positions 3 black balls can be placed in \({ }^8 P_3\) ways.…
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 two curves \(x=y^2, \quad x y=a^3 \quad\) cut orthogonally at a point, then \(a^2\) is equal toTS EAMCET 2002 Medium
- \(\int_{-5}^5 x^4\left(25-x^2\right)^{5 / 2} d x=\)TS EAMCET 2020 Easy
- The solution of \((x+y+1) \frac{d y}{d x}=1\) isTS EAMCET 2007 Easy
- If the foot of the perpendicular from \((0,0,0)\) to a plane is \((1,2,3)\), then the equation of the plane isTS EAMCET 2012 Medium
- The point \((4,1)\) undergoes the following transformations successively I. Reflection about the line \(y=x\) II. Translation through a distance 2 units in the direction of positive \(X\)-axis. III. Rotation through an angle \(\frac{\pi}{4}\) about origin in the anticlockwise direction. Then, the final position of the point isTS EAMCET 2018 Easy
- If \(f(x)=x^2+b x+c\) and \(f(1+k)=f(1-k) \forall \mathrm{K} \in \mathbb{R}\), for two real numbers b and c, thenTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The phase difference between the following two waves and is:TS EAMCET 2020 Medium
- \(x^n+y^n\) is divisible byTS EAMCET 2018 Easy
- The ratio of the difference in energy between the first and second Bohr orbits to that between the second and third orbits isTS EAMCET 2023 Medium
- A small ball is thrown at an angle \(45^{\circ}\) to the horizontal with an initial velocity of \(2 \sqrt{2} \mathrm{~m} / \mathrm{s}\). The magnitude of mean velocity averaged over the first \(2 \mathrm{~s}\) is [talse, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]TS EAMCET 2018 Easy
- Identify the incorrect statement about the oxidation states of group 14 elementsTS EAMCET 2023 Medium
- The time required to raise the temperature of 3 litre of water from \(0^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\) by a heater operated under \(200 \mathrm{~V}\) having resistance of \(50 \Omega\) is [specific heat capacity of water is \(4200 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\) ] [density of water \(=1000 \mathrm{~kg} / \mathrm{m}^3\) ]TS EAMCET 2022 Easy