AP EAMCET · Maths · Probability
The probability that A speaks truth is \(75 \%\) and the probability that B speaks truth is \(80 \%\). The probability that they contradict each other when asked to speak on a fact is
- A \(\frac{3}{20}\)
- B \(\frac{4}{20}\)
- C \(\frac{7}{20}\)
- D \(\frac{5}{20}\)
Answer & Solution
Correct Answer
(C) \(\frac{7}{20}\)
Step-by-step Solution
Detailed explanation
\(P(A)=\frac{75}{100}, P(\bar{A})=\frac{25}{100}\)…
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
- It \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are non-coplanar vectors and the four points with position vectors \(2 \mathbf{a}+3 \mathbf{b}-\mathbf{c}\), \(\mathbf{a}-2 \mathbf{b}+3 \mathbf{c}, 3 \mathbf{a}+4 \mathbf{b}+2 \mathbf{c}\) and \(k \mathbf{a}-6 \mathbf{b}+6 \mathbf{c}\) are coplanar, then \(k=\)AP EAMCET 2018 Easy
- If \(f(x)=\left\{\begin{array}{lll}x-5, & \text { for } x \leq 1 \\ 4 x^2-9, & \text { for } 1 < x < 2 \\ 3 x+4, & \text { for } x \geq 2,\end{array}\right.\) then \(f^{\prime}\left(2^{+}\right)\)is equal toAP EAMCET 2007 Medium
- There are two dice \(A\) and \(B\). Die \(A\) has 4 red and 2 white faces and \(B\) has 2 red and 4 white faces. A coin is tossed once, if it shows head, die \(A\) is rolled, if it shows tail, die \(B\) is rolled, if the probability that die \(A\) is used is \(\left(\frac{32}{33}\right)\) when it is given that red turns up every time in first \(n\) throws, then \(n=\)AP EAMCET 2020 Medium
- AP EAMCET 2018 Hard
- \(\int \frac{x^3-x^2+x-1}{x-1} d x\) is equal toAP EAMCET 2021 Easy
- If \({ }^{27} \mathrm{P}_{\mathrm{r}+7}=7722{ }^{25} \mathrm{P}_{(\mathrm{r}+4)}\), then \(\mathrm{r}=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- A source emitting sound of frequency \(288 \mathrm{~Hz}\) is tied to a string of \(100 \mathrm{~cm}\) length and rotated with an angular velocity of \(20 \mathrm{rad} \mathrm{s}^{-1}\) in the horizontal plane. The range of frequencies heard by an observer standing at a distance of \(5 \mathrm{~m}\) from the source is (in \(\mathrm{Hz}\))
(Speed of sound in air \(=340 \mathrm{~ms}^{-1}\))AP EAMCET 2017 Medium - The average translational kinetic energy of \(\mathrm{O}_2\) molecules at a particular temperature is \(0.048 \mathrm{eV}\). The average translational kinetic energy of equal number of \(\mathrm{N}_2\) molecules at the same temperature is (in \(\mathrm{eV}\))AP EAMCET 2017 Easy
- The equation of the circle which cuts the circles
\(\begin{aligned}
& S_1 \equiv x^2+y^2-4=0 \\
& S_2 \equiv x^2+y^2-6 x-8 y+10=0 \\
& S_3 \equiv x^2+y^2+2 x-4 y-2=0
\end{aligned}\)
at the extremities of diameters of these circles isAP EAMCET 2019 Easy - If \(x+i y=\frac{3}{2+\cos (\theta)+i \sin (\theta)}\), then \(x^2+y^2=\)AP EAMCET 2020 Medium
- A 3 kg block is connected as shown in the figure. Spring constants of two springs \(\mathrm{K}_1\) and \(\mathrm{K}_2\) are \(50 \mathrm{Nm}^{-1}\) and \(150 \mathrm{Nm}^{-1}\) respectively. The block is released from rest with the springs unstretched, The acceleration of the block in its lowest position is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)
AP EAMCET 2024 Medium - If \(|\mathbf{a}|=3,|\mathbf{b}|=4\) and the angle between \(\mathbf{a}\) and \(\mathbf{b}\) is \(120^{\circ}\), then \(|4 \mathbf{a}+3 \mathbf{b}|\) is equal toAP EAMCET 2016 Easy