AP EAMCET · Maths · Probability
A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. If one fruit is picked out at random from each basket, then the probability of getting one apple and one orange is
- A \(\frac{1}{6}\)
- B \(\frac{7}{18}\)
- C \(\frac{17}{36}\)
- D \(\frac{19}{36}\)
Answer & Solution
Correct Answer
(C) \(\frac{17}{36}\)
Step-by-step Solution
Detailed explanation
\( P(\text{apple from 1st basket}) = \frac{5}{12} \) \( P(\text{orange from 1st basket}) = \frac{7}{12} \) \( P(\text{apple from 2nd basket}) = \frac{4}{12} = \frac{1}{3} \) \( P(\text{orange from 2nd basket}) = \frac{8}{12} = \frac{2}{3} \)…
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 \(y=\operatorname{Tanh}^{-1} \sqrt{\frac{1-x}{1+x}}\), then \(\frac{d y}{d x}=\)AP EAMCET 2025 Medium
- The discreate random variables \(\mathrm{X}\) and \(\mathrm{Y}\) are independent from one another and are defined as \(X \sim B\left(n_1, 0.5\right)\) and \(\mathrm{Y} \sim \mathrm{B}\left(\mathrm{n}_2, 0.4\right)\). If the variance of both \(\mathrm{X}\) and \(\mathrm{Y}\) is 6 then \(\sqrt{n_1+n_2}=\)AP EAMCET 2022 Medium
- \(\cos A \cos 2 A \cos 4 A \ldots \cos 2^{n-1} A\) equalsAP EAMCET 2009 Easy
- If \(\cos \alpha+\cos \beta=a\) and \(\sin \alpha+\sin \beta=b\), then match the items given in List \(-A\) with those of their values in List-B
List-A Liat-B (I) \(\tan \left(\frac{\alpha+\beta}{2}\right)=\) (a) \(\frac{ b }{ a }\) (II) \(\cos (\alpha+\beta)=\) (b) \(\frac{2 a b}{a^2+b^2}\) (III) \(\sin (\alpha+\beta)^{-}\) (c) \(\frac{2 a b}{a^2-b^2}\) (IV) \(\tan (\alpha+\beta)=\) (d) \(\frac{a^2-b^2}{a^2+b^2}\) (e) \(\frac{a^2+b^2}{a^2-b^2}\) AP EAMCET 2023 Medium - If \(\sin x+\sin y=\frac{\sqrt{3}+1}{2}\) and \(\cos x+\cos y=\) \(\frac{\sqrt{3}-1}{2}\), then \(\tan ^2\left(\frac{x-y}{2}\right)+\tan ^2\left(\frac{x+y}{2}\right)=\)AP EAMCET 2019 Easy
- If \((2,3)\) is the vertex and.' \((3,2)\) is the focus of a parabola, then its equation isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- \(\lim _{x \rightarrow \infty} \frac{3 x+4 \cos ^2 x}{\sqrt{x^2-5 \sin ^2 x}}=\)AP EAMCET 2025 Medium
- A die is tossed thrice. If event of getting an even number is a success, then the probability of getting at least successes isAP EAMCET 2021 Medium
- At 300 K vapour pressure of a pure liquid, 'A' is 70 mm Hg. It forms an ideal solution with another liquid ' B '. The mole fraction of B in the solution is 0.2 and total vapour pressure of solution is 84 mm Hg at same temperature. What is the vapour pressure \((\mathrm{in} \mathrm{mm})\) of pure liquid B at 300 K ?AP EAMCET 2025 Medium
- A particle of mass 0.2 g and charge 2 C is released from rest in a uniform electric field of \(20 \mathrm{~N} \mathrm{C}^{-1}\). The kinetic energy of the particle after moving a distance of 20 cm isAP EAMCET 2025 Medium
- If the coefficient of \(x\) is in expansion of \(\left(x^2+\frac{k}{x}\right)^5\) is 270 , then \(k\) is equal toAP EAMCET 2002 Medium
- The equation that represents magnetic field of a plane electromagnetic wave which is propagating along \(x\)-direction with wavelength \(10 \mathrm{~mm}\) and maximum electric field \(60 \mathrm{Vm}^{-1}\) in \(y\)-direction is (where, \(c=\) speed of light)AP EAMCET 2022 Easy