AP EAMCET · Maths · Probability
An urn contains 3 black and 5 red balls. If 3 balis are drawn at random from the urn, the mean of the probability distribution of the number of red balls drawn is
- A \(\frac{45}{28}\)
- B \(\frac{15}{8}\)
- C \(\frac{2}{5}\)
- D \(\frac{3}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{15}{8}\)
Step-by-step Solution
Detailed explanation
Let \(X\) be number of red balls drawn. \begin{array}{|c|c|c|c|c|}\hline \boldsymbol{X}=\boldsymbol{x} & 0 & 1 & 2 & 3 \\\hline \boldsymbol{P}(\boldsymbol{X}=\boldsymbol{x}) & \frac{{ }^3 C_3}{{ }^8 C_3} & \frac{{ }^5 C_1 \times{ }^3 C_2}{{ }^8 C_3} & \frac{{ }^5 C_1 \times{ }^3…
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 two sides of a triangle are represented by \(3 x^2-5 x y+2 y^2=0\) and its orthocentre is \((2,1)\), then the equation of the third side isAP EAMCET 2025 Hard
- Let and be the midpoints of the sides and of a triangle respectively. If is an interior point of the triangle such that then the area (in sq. units) of the triangle isAP EAMCET 2019 Medium
- The coordinates of the point which divides the line joining the points \((2,3,4)\) and \((3,-4,7)\) in the ratio \(2: 4\) externally isAP EAMCET 2023 Easy
- If the point \(P(\alpha, \beta, \gamma)\) lies on the plane \(2 x+y+z=1\) and \([\alpha \beta \gamma]\left[\begin{array}{lll}1 & 9 & 1 \\ 8 & 2 & 1 \\ 7 & 3 & 1\end{array}\right]=\left[\begin{array}{lll}0 & 0 & 0\end{array}\right]\), then \(\alpha^2+\beta^2+\gamma^2=\)AP EAMCET 2018 Medium
- The direction ratios of normal to the plane passing through \((0,0,1),(0,1,2)\) and \((1,0,3)\), areAP EAMCET 2002 Easy
- Let \(\mathbf{a}\) and \(\mathbf{b}\) be unit vectors with \(\theta\) as the acute angle between them. If \(\frac{1}{2}|\mathbf{a}-\mathbf{b}|=\sin \lambda \theta\), then \(4 \lambda^2=\)AP EAMCET 2019 Easy
More PYQs from AP EAMCET
- The general solution of \(x d y-y d x=y d y\) isAP EAMCET 2022 Medium
- The defect produced due to the presence of extra cations at interstitial sites is calledAP EAMCET 2020 Easy
- If , where thenAP EAMCET 2022 Easy
- Three point charges shown in the figure lie along a straight line. The energy required to exchange the position of central charge with one of the negative charges is
AP EAMCET 2025 Medium - \(\int_{\log _c 2}^x \frac{d t}{\sqrt{e^t-1}}=\frac{\pi}{6} \Rightarrow x=\)AP EAMCET 2019 Medium
- The equation \(x^4-x^3-6 x^2+4 x+8=0\) has two equal roots. If \(\alpha, \beta\) are the other two roots of this equation then \(\alpha^2+\beta^2=\)AP EAMCET 2024 Easy