Choose the correct answer from the given four options:If A and B … - Vidyadip

MCQ

Choose the correct answer from the given four options:If $A$ and $B$ are such events that $\text{P}(\text{A})>0$ and $\text{P}(\text{B})\neq1,$ then $\text{P}\Big(\frac{\text{A}'}{\text{B}'}\Big)$ equals to:

A
$1-\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$
B
$1-\text{P}\Big(\frac{\text{A}'}{\text{B}}\Big)$
✓
$\frac{1-\text{P}(\text{A}\cup\text{B})}{\text{P}(\text{B}')}$
D
$\frac{\text{P}(\text{A}')}{\text{P}(\text{B}')}$

✓

Answer

Correct option: C.

$\frac{1-\text{P}(\text{A}\cup\text{B})}{\text{P}(\text{B}')}$

We have, $\text{P}(\text{A})>0$ and $\text{P}(\text{B})\neq1$
$\text{P}\Big(\frac{\text{A}'}{\text{B}'}\Big)=\frac{\text{P}(\text{A}'\cap\text{B}')}{\text{P}(\text{B}')}$
$=\frac{1-\text{P}(\text{A}\cup\text{B})}{\text{P}(\text{B}')}$

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 "M.C.Q (1 Marks)" from Probability→Probability — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $y=\sin x^{\circ}$ then the value of $\frac{d y}{d x}$ is

$\int {(\sqrt {\tan x} + \sqrt {\cot x} )} $ is equal to-

Choose the correct answer in Exercise.$\int\sqrt{\text{x}^2-8\text{x}+7}\text{dx}$ is equal to

If $ \text{x} \in \left ( \frac{3\pi}{2}, 2\pi \right )$ then the value of the expression $ \sin^{-1}[\cos({\cos^{-1}(\cos \, \text{x})}+\sin^{-1}(\sin \, \text{x}))]$ is:

The function $\frac{{({e^{2x}} - 1)}}{{({e^{2x}} + 1)}}$ is

$\int_{}^{} {\frac{{dx}}{{x\sqrt {1 - {{(\log x)}^2}} }} = } $

$\int_{}^{} {\frac{{dx}}{{{e^x} + 1 - 2{e^{ - x}}}} = } $

Let $S$ be the set of all integer solutions, $(x, y, z)$, of the system of equations

$x-2 y+5 z=0$

$-2 x+4 y+z=0$

$-7 x+14 y+9 z=0$

such that $15 \leq x^{2}+y^{2}+z^{2} \leq 150 .$ Then, the number of elements in the set $S$ is equal to

A vector of length $3$ perpendicular to each of the vectors $3\,i + j - 4\,k$ and $6\,i + 5\,j - 2\,k$ is

The solution of $\frac{\text{d}^2\text{y}}{\text{dx}^2}=0$ represents: