JEE Mains · Maths · STD 12 - 13. probability
Bag \(I\) contains \(3\) red,\(4\) black and \(3\) white balls and Bag \(II\) contains \(2\) red,\(5\) black and \(2\) white balls. One ball is transferred from Bag \(I\) to Bag \(II\) and then a ball is draw from Bag \(II\). The ball so drawn is found to be black in colour. Then the probability, that the transferred ball is red,is.
- A \(\frac{4}{9}\)
- B \(\frac{5}{18}\)
- C \(\frac{1}{6}\)
- D \(\frac{3}{10}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{18}\)
Step-by-step Solution
Detailed explanation
\(A :\) Drown ball from boy II is black \(B :\) Red ball transferred \(P\left(\frac{B}{A}\right)=\frac{P(A \cap B)}{P(A)}\) \(= \frac{3}{\frac{3}{9} \times \frac{5}{10}+\frac{4}{9} \times \frac{5}{10}+\frac{6}{9} \times \frac{5}{10}}\)…
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 \(y = y\left( x \right)\) be the solutions of the differential equation, \(\left( {{x^2} + 1} \right)^2\,\frac{{dy}}{{dx}} + 2x\left( {{x^2} + 1} \right)\,y = 1\) such that \(y\left( 0 \right) = 0\). If \(\sqrt a y\left( 1 \right) = \frac{\pi }{{32}}\), then the value of \(‘a’\) isJEE Mains 2019 Hard
- An angle between the lines whose direction cosines are given by the equations, \(l+ 3m + 5n\, = 0\) and \(5lm -2mn + 6nl = 0\) , isJEE Mains 2018 Hard
- Suppose \(a_1, a_2, 2, a_3, a_4\) be in an arithmeticogeometric progression. If the common ratio of the corresponding geometric progression is \(2\) and the sum of all \(5\) terms of the arithmetico-geometric progression is \(\frac{49}{2}\), then \(a_4\) is equal to \(...........\).JEE Mains 2023 Hard
- Consider an elIipse, whose centre is at the origin and its major axis is along the \(x-\) axis. If its eccentricity is \(\frac{3}{5}\) and the distance between its foci is \(6\), then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, isJEE Mains 2017 Hard
- Let \(a_{1}, a_{2}, a_{3}, \ldots\) be a G.P. such that \(a_{1}<0\); \(a_{1}+a_{2}=4\) and \(a_{3}+a_{4}=16 .\) If \(\sum\limits_{i=1}^{9} a_{i}=4 \lambda,\) then \(\lambda\) is equal toJEE Mains 2020 Hard
- The number of \(4\)-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any letter, is:JEE Mains 2026 Medium
More PYQs from JEE Mains
- In a series of \(2n\) observation, half of them are equal to \('a'\) and remaining half observations are equal to \(' -a'\). If the standard deviation of this observations is \(2\) then \(\left| a \right|\) equalsJEE Mains 2013 Hard
- Let \(\mathrm{y}=\mathrm{y}(\mathrm{x})\) be a solution of the differential equation, \(\sqrt{1-\mathrm{x}^{2}} \frac{\mathrm{dy}}{\mathrm{dx}}+\sqrt{1-\mathrm{y}^{2}}=0,|\mathrm{x}|<1\) If \(\mathrm{y}\left(\frac{1}{2}\right)=\frac{\sqrt{3}}{2},\) then \(\mathrm{y}\left(\frac{-1}{\sqrt{2}}\right)\) is equal toJEE Mains 2020 Hard
- Let \(S_{n}\) denote the sum of first \(n\)-terms of an arithmetic progression. If \(S_{10}=530, S_{5}=140\), then \(\mathrm{S}_{20}-\mathrm{S}_{6}\) is equal to :JEE Mains 2021 Medium
- If the maximum value of \(a\), for which the function \(f_{a}(x)=\tan ^{-1} 2 x-3 a x+7\) is non-decreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\bar{a}\), then \(f_{a}\left(\frac{\pi}{8}\right)\) is equal toJEE Mains 2022 Hard
- If \( \overrightarrow{ a }=2 \hat{ i }+\hat{ j }+3 \hat{ k }, \overrightarrow{ b }=3 \hat{ i }+3 \hat{ j }+\hat{ k } \) and \(\overrightarrow{ c }= c _{1} \hat{ i }+ c _{2} \hat{ j }+ c _{3} \hat{ k }\) are coplanar vectors and \(\overrightarrow{ a } \cdot \overrightarrow{ c }=5, \overrightarrow{ b } \perp \overrightarrow{ c }\), then \(122\left( c _{1}+ c _{2}+ c _{3}\right)\) is equal to.......JEE Mains 2022 Medium
- Let the mean and the variance of \(5\) observations \(x_{1}, x_{2}, x_{3}, x_{4}, x_{5}\) be \(\frac{24}{5}\) and \(\frac{194}{25}\) respectively. If the mean and variance of the first \(4\) observation are \(\frac{7}{2}\) and \(a\) respectively, then \(\left(4 a+x_{5}\right)\) is equal toJEE Mains 2022 Hard