The probability that A speaks truth is 4 5 , while this probability for B is 3 4 . The probability that they contradict each other when asked to speak on a fact

The probability that A speaks truth is 4 5 , while this probabili…

MCQ

The probability that $A$ speaks truth is $\frac{4}{5}$, while this probability for $B$ is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact

A
$\frac{4}{5}$
B
$\frac{1}{5}$
✓
$\frac{7}{{20}}$
D
$\frac{3}{{20}}$

✓

Answer

Correct option: C.

$\frac{7}{{20}}$

c
(c) Here $P(A) = \frac{3}{4},\,P(B) = \frac{4}{5}$

$\therefore $ Required probability $ = P(A).P(\bar B) + P(\bar A)\,.\,P(B) = \frac{7}{{20}}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the domain of the function
$f(x)=\log _{7}\left(1-\log _{4}\left(x^{2}-9 x+18\right)\right)$ is $(\alpha, \beta) \cup(\gamma, \delta)$, then $\alpha+\beta+\gamma+\delta$ is equal to

→

A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of $V \ mm ^3$, has a $2 \ mm$ thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness $2 \ mm$ and is of radius equal to the outer radius of the container.

If the volume of the material used to make the container is minimum when the inner radius of the container is $10 \ mm$, then the value of $\frac{V}{250 \pi}$ is

→

Greatest value of the function, $f(x) = - 1 + \frac{2}{{{2^x}^2 + 1}}$ is

→

If $\log _{10} 2, \log _{10} (2^x + 1), \log _{10} (2^x + 3)$ are in $A.P.,$ then :-

→

Let $g(x)=\int_0^{|x|^{3 / 4}} t^{2 / 3} \sin \frac{1}{t} d t$, for all real $x$. Then, $\lim _{x \rightarrow 0} \frac{g(x)}{x}$ is equal to

→

Let $\left\{a_{n}\right\}_{n=0}^{\infty}$ be a sequence such that $a_{0}=a_{1}=0$ and $a_{ n +2}=3 a_{ n +1}-2 a_{ n }+1, \forall n \geq 0$.Then $a_{25} a_{23}-2 a_{25} a_{22}-2 a_{23} a_{24}+4 a_{22} a_{24}$ is equal to.

→

If $A = \left[ {\begin{array}{*{20}{c}}
1&{\sin \,\theta }&1\\
{ - \,\sin \,\theta }&1&{\sin \,\theta }\\
{ - 1}&{ - \,\sin \,\theta }&1
\end{array}} \right];$ then for all $\theta \, \in \,\left( {\frac{{3\pi }}{4},\frac{{5\pi }}{4}} \right),$ det $(A)$ lies in the interval

→

$S$ denote the set of all real values of $\lambda$ such that the system of equations $\lambda x + y + z =1$ ; $x +\lambda y + z =1$ ; $x + y +\lambda z =1$ is inconsistent, then $\sum_{\lambda \in S}\left(|\lambda|^2+|\lambda|\right)$ is equal to