AP EAMCET · Maths · Probability
From a group of 50 students, two sections comprising of 20 and 30 students are formed. If Ram and Rahim are two particular students among the 50 students, then the probability that they both belong to the same section is
- A \(\frac{25}{49}\)
- B \(\frac{12}{23}\)
- C \(\frac{13}{23}\)
- D \(\frac{24}{49}\)
Answer & Solution
Correct Answer
(A) \(\frac{25}{49}\)
Step-by-step Solution
Detailed explanation
Total number of students \(=50\) Number of ways of making groups if both the students are in first group \(={ }^{48} C_{18} \times{ }^{30} C_{30}={ }^{48} C_{18}\) and number of ways of making groups if both the students are in second group…
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 \(z=x+i y\) and if the point \(\mathrm{P}\) in the Argand plane represents \(z\), then the locus of \(\mathrm{P}\) satisfying the equation \(|z-3 i|+|z+3 i|=10\) isAP EAMCET 2017 Hard
- Three dice are thrown, given that they have a sum of the probability that one of them is four is ______AP EAMCET 2020 Easy
- The rank of \(\left[\begin{array}{ccc}2 & 1 & 1 \\ 0 & 3 & -1 \\ 1 & -1 & 1\end{array}\right]\) isAP EAMCET 2020 Easy
- One line of the pair of lines \(x^2+x y-2 y^2=0\) is perpendicular to one line of the pair of lines \(3 y^2-5 x y-2 x^2=0\). If the combined equation of the two lines other than those two perpendicular lines is \(a x^2+2 h x y+b y^2=0\), then \(a+2 h+b=\)AP EAMCET 2025 Hard
- The mean of five observations is 4 and their variance is also 4 . If three of the five observations are \(1,3,4\) then the product of the other two isAP EAMCET 2018 Easy
- If \(p=a_1 x+b_1 y+k_1=0, q=a_2 x+b_2 y+k_2=0\) and \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{k_1}{k_2}\), then the curve \(p+c q\) isAP EAMCET 2020 Medium
More PYQs from AP EAMCET
- The de Broglie wavelength of an electron travelling with \(20 \%\) of velocity of light is
\(\left(\mathrm{h}=6.626 \times 10^{-34} \mathrm{JS} ; \mathrm{m}_{\mathrm{e}}=9.1 \times 10^{-31} \mathrm{~kg}\right)\)AP EAMCET 2023 Medium - A tower subtends angles \(\alpha, 2 \alpha\) and \(3 \alpha\) respectively at points \(A, B\) and \(C\), all lying on a horizontal line through the foot of the tower, then \(\frac{A B}{B C}\) is equal to:AP EAMCET 2003 Medium
- If thenAP EAMCET 2018 Medium
- A common tangent to the circle \(x^2+y^2=9\) and parabola \(y^2=8 x\) isAP EAMCET 2024 Medium
- An electric motor exerts a force of \(50 \mathrm{~N}\) on a a cable and pulls it through \(60 \mathrm{~m}\) in \(1 \mathrm{~min}\). The power supplied by the motor isAP EAMCET 2020 Medium
- For all positive integers ' \(n\) ' if \(3\left(5^{2 \mathrm{n}+1}\right)+2^{3 \mathrm{n}+1}\) is divisible by \(k\), then the number of prime numbers less than or equal to \(k\) isAP EAMCET 2024 Medium