TS EAMCET · Maths · Probability
A class has fifteen boys and five girls. Suppose three students are selected at random from the class. The probability that there are two boys and one girl is
- A \(\frac{35}{76}\)
- B \(\frac{35}{38}\)
- C \(\frac{7}{76}\)
- D \(\frac{35}{72}\)
Answer & Solution
Correct Answer
(A) \(\frac{35}{76}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \therefore \text { Required probability } & =\frac{{ }^{15} C_2 \times{ }^5 C_1}{{ }^{20} C_3} \\ & =\frac{15 \times 7 \times 5}{\frac{20 \times 19 \times 18}{3 \times 2}} \\ & =\frac{7 \times 25}{20 \times 19}=\frac{35}{76}\end{aligned}\)
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 \(f: R \rightarrow R\) be defined by \(f(x)=\left\{\begin{array}{ccc}\alpha+\frac{\sin [x]}{x}, & \text { if } & x>0 \ 2, & \text { if } & x=0 \ \beta+\left[\frac{\sin x-x}{x^3}\right], & \text { if } & x < 0\end{array}\right.\) where, \([x]\) denotes the integral part of \(x\). If \(f\) continuous at \(x=0\), then \(\beta-\alpha\) is equal toTS EAMCET 2012 Medium
- The length of the projection of the line segment joining the points and on the line joining the points and isTS EAMCET 2019 Easy
- \(\int \frac{\sec x}{3(\sec x+\tan x)+2} d x=\)TS EAMCET 2024 Medium
- Face masks are supplied to a junior college in packets of If there is a chance that in face mask is defective, then the number of packets containing no defective face masks in a consignment of packets, isTS EAMCET 2021 Hard
- An ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) with eccentricity \(\frac{2 \sqrt{2}}{3}\) is inscribed in a circle \(x^2+y^2=18\) such that the length of its major axis is equal to the diameter of this circle. The locus of the poles of all the tangents of the circle with respect to the ellipse isTS EAMCET 2020 Hard
- Let \(\alpha, \beta, \gamma\) be the roots of \(x^3+x+10=0\) and \(\alpha_1=\frac{\alpha+\beta}{\gamma^2}, \beta_1=\frac{\beta+\gamma}{\alpha^2}, \gamma_1=\frac{\gamma+\alpha}{\beta^2}\). Then, the value of \(\left(\alpha_1^3+\beta_1^3+\gamma_1^3\right)-\frac{1}{10}\left(\alpha_1^2+\beta_1^2+\gamma_1^2\right)\) isTS EAMCET 2015 Easy
More PYQs from TS EAMCET
- Particle A (which was located at the origin at time \(t=0\) ) is moving along the \(\mathrm{x}\)-axis with a constant speed of \(1 \mathrm{~m} / \mathrm{s}\). Location of particle \(\mathrm{B}\) which is moving along the \(\mathrm{y}\)-axis is given by \(\mathrm{y}=\mathrm{ct}^2\), where \(\mathrm{c}=1 \mathrm{~m} / \mathrm{s}^2\). Find the speed of particle A relative to particle \(\mathrm{B}\) at \(\mathrm{t}=1 \mathrm{sec}\).TS EAMCET 2022 Easy
- \(\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]\) is equal toTS EAMCET 2003 Medium
- A function \(f: R-\{0\} \rightarrow R\) is defined as \(f(x)=\left\{\begin{array}{cc}x^2+3 x-7, & x>0 \ h(x), & x < 0\end{array}\right.\) If \(f(x)\) is an odd function, then \(h(x)=\)TS EAMCET 2018 Easy
- Observe the following list of molecules. Number of polar and non polar molecules are respectively
\(\mathrm{NH}_3, \mathrm{BF}_3, \mathrm{NF}_3, \mathrm{H}_2 \mathrm{~S}, \mathrm{CO}_2, \mathrm{CH}_4, \mathrm{CHCl}_3, \mathrm{H}_2 \mathrm{O}\)TS EAMCET 2025 Medium - The number of solutions for \(z^3+\bar{z}=0\), isTS EAMCET 2014 Easy
- What is the correct order of atomic/ionic size?TS EAMCET 2018 Easy