If the events A and B are mutually exclusive, then P ( A / B )= - Vidyadip

MCQ

If the events A and B are mutually exclusive, then $P ( A / B )=$

✓
$0$
B
1
C
$\frac{P(A \cap B)}{P(A)}$
D
$\frac{P(A \cap B)}{P(B)}$

✓

Answer

Correct option: A.

$0$

(A)
$P(A / B)=\frac{P(A \cap B)}{P(B)}$
Since, A and B are mutually exclusive.
So, $P ( A \cap B )=0$.
Hence, $P(A / B)=\frac{0}{P(B)}=0$

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

More "MCQ" from Probability→Probability — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

The range of the function $\text{f(x)}=\frac{\text{x}}{|\text{x}|}$ is :

The angle between the line √3x – y – 2 = 0 and x – √3y + 1 = 0 is

If $\lim _{n \rightarrow-\infty} \frac{1-(10)^n}{1+(10)^{n+1}}=\frac{-\alpha}{10}$, then the value of $\alpha$ is

For every integer $n$, let $a_n$ and $b_n$ be real number
Let function $f : R \rightarrow R$ be given by
$f(x)=\left\{\begin{array}{lll}a_n+\sin \pi x & \text { for } & x \in[2 n, 2 n+1] \\b_n+\cos \pi x & \text { for } & x \in(2 n-1,2 n)\end{array}\right.$
for all integers $n$. If $f$ is continuous, then which of the following does not hold for all $n$ ?

$
\lim _{x \rightarrow 3}\left[\frac{5^{x-3}-4^{x-3}}{\sin (x-3)}\right]=
$

If $a>0$ and $z=\frac{(1+i)^2}{a-i}, i=\sqrt{-1}$, has magnitude $\frac{2}{\sqrt{5}}$, then $\bar{z}$ is

If $m_1, m_2\left(m_1>m_2\right)$ are the slopes of the lines which make an angle of $30^{\circ}$ with the line joining the points (1, 2) and (3, 4), then $\frac{ m _1}{m_2}=$

The value of $(1+\text{i})(1+\text{i}^2)(1+\text{i}^3)(1+\text{i}^4)$ is

If the probability for $A$ to fail in an examination is $0.2$ and that for $B$ is $0.3,$ then the probability that either $A$ or $B$ fails is :

If $f(x)=\frac{12^x-4^{x^2-3^x+1}}{1-\cos 2 x}$, for $x \neq 0$ is continuous at $x=0$ then the value of $f(0)$ is