TS EAMCET · Maths · Probability
Let A and B be two events in a random experiment. If \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})=0.1\), \(\mathrm{P}(\overline{\mathrm{A}} \cap \mathrm{B})=0.2\) and \(\mathrm{P}(\mathrm{B})=0.5\) then \(\mathrm{P}(\overline{\mathrm{A}} \cap \overline{\mathrm{B}})=\)
- A \(0.6\)
- B \(0.5\)
- C \(0.4\)
- D \(0.3\)
Answer & Solution
Correct Answer
(C) \(0.4\)
Step-by-step Solution
Detailed explanation
\( \mathrm{P}(\mathrm{A} \cap \mathrm{B}) = \mathrm{P}(\mathrm{B}) - \mathrm{P}(\overline{\mathrm{A}} \cap \mathrm{B}) = 0.5 - 0.2 = 0.3 \)…
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
- The value of the series \(\cos 12^{\circ}+\cos 84^{\circ}\) \(+\cos 132^{\circ}+\cos 156^{\circ}\) isTS EAMCET 2004 Easy
- If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^3+3 x^2-x-3=0\), then \(\left(1+\alpha^2\right)\left(1+\beta^2\right)\left(1+\gamma^2\right)=\)TS EAMCET 2020 Easy
- If \(d\) is the distance between the point of intersection of the lines \(x^2+4 x y+k y^2-4 x-10 y+3=0\) and the origin and \(p\) is the product of the perpendicular distances from the origin to these lines, then \(d^2-20 p^2=\)TS EAMCET 2019 Medium
- Assertion (A) If the tangent and normal to the ellipse \(9 x^2+16 y^2=144\) at the point \(p\left(\frac{\pi}{3}\right)\) on it meet the major axis in \(Q\) and \(R\) respectively, then \(Q R=\frac{57}{8}\). Reason (R) If the tangent and normal to the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) at the point \(P(\theta)\) on it meet the major axis in \(Q\) and \(R\) respectively, then \(Q R=\left|\frac{a^2 \sin ^2 \theta-b^2 \cos ^2 \theta}{a \cos \theta}\right|\) The correct answer isTS EAMCET 2019 Medium
- Let \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) be three non-coplanar vectors and let \(\mathbf{p}, \mathbf{q}\) and \(\mathbf{r}\) be the vectors defined by \(\mathbf{p}=\frac{\mathbf{b} \times \mathbf{c}}{[\mathbf{a} \mathbf{b} \mathbf{c}]}, \mathbf{q}=\frac{\mathbf{c} \times \mathbf{a}}{[\mathbf{a} \mathbf{b} \mathbf{c}]}, \mathbf{r}=\frac{\mathbf{a} \times \mathbf{b}}{[\mathbf{a} \mathbf{b} \mathbf{c}]}\). Then, \((\mathbf{a}+\mathbf{b}) \cdot \mathbf{p}+(\mathbf{b}+\mathbf{c}) \cdot \mathbf{q}+(\mathbf{c}+\mathbf{a}) \cdot \mathbf{r}\) is equal toTS EAMCET 2012 Easy
- The number of values of \(x\) satisfying the equation
\(\operatorname{Tan}^{-1}\left(x+\frac{\sqrt{2}}{x}\right)+\operatorname{Tan}^{-1}\left(x-\frac{\sqrt{2}}{x}\right)=\operatorname{Tan}^{-1}(x) \text { is }\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The general solution of the differential equation \(d x=(2 x+3 y-4) d y\) isTS EAMCET 2022 Medium
- The resistivity of a material is found to be . Then the material would beTS EAMCET 2022 Easy
- The number of significant figures in the measurement of a length \(0.079000 \mathrm{~m}\) isTS EAMCET 2023 Easy
- If \(\bar{a}\) and \(\bar{b}\) are two vectors such that \(|\bar{a}|=|\bar{b}|=\sqrt{6}\) and \(\bar{a} \cdot \bar{b}=-1\) then \(|\bar{a} \times \bar{b}| \sin (\bar{a}, \bar{b})=\)TS EAMCET 2025 Medium
- What are the compounds formed when white phosphorus is dissolved in boiling \(\mathrm{NaOH}\) solution in an inert atmosphere?TS EAMCET 2019 Hard
- A particle moves in a straight line such that its displacement (in ) at a time (in ) is given by The instantaneous velocity at isTS EAMCET 2021 Easy