The probability that a number selected at random from the numbers… - Vidyadip

MCQ

The probability that a number selected at random from the numbers $1, 2, 3, ....., 15$ is a multiple of $4$, is:

A
$\frac{4}{15}$
B
$\frac{2}{15}$
✓
$\frac{1}{5}$
D
$\frac{1}{3}$

✓

Answer

Correct option: C.

$\frac{1}{5}$

The total number of given numbers is $15.$
$\therefore$ Total number of outcomes $= 15$
Among the given numbers, the multiples of $4$ are $4, 8$ and $12.$
So, the favourable number of outcomes are $3.$
$\therefore$ $P($number selected is a multiple of $4)$
$=\frac{\text{Favourable number of outcomes}}{\text{Total number of outcomes}}$
$=\frac{3}{15}=\frac{1}{5}$
Hence, the correct answer is option $c.$

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 10 question papers→Gujarat Board STD 10 question papers→Gujarat Board question paper generator→

Similar questions

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is $₹\ 18$. Find the missing frequency $f$.

Daily pocket allowance $($in $₹)$	$11-13$	$13-15$	$15-17$	$17-19$	$19-21$	$21-23$	$23-25$
Frequemcy	$7$	$6$	$9$	$13$	$f$	$5$	$4$

If $x_i$ s are the midpoints of the class intervals of a grouped data, $f_i$ s are the corresponding frequency and $\bar{\text{x}}$ is the mean, then $\sum\text{f}_{\text{i}}(\text{x}_\text{i}-\bar{\text{x}})=?$

The smallest number by which $\sqrt{27}$ should be multiplied so as to get a rational number is

If $\operatorname{HCF}(26,169)=13$, then $\operatorname{LCM}(26,169)$ equal to

In $\triangle A B C$, right angled at $B, B C=5 cm$, $\angle B A C=30^{\circ}$, find the length of the side $A C$.

For some integer $m,$ every even integer is of the form:

Out of the following, which is not the measure of central tendency ?

A metalic solid cone is melted to form a solid cylinder of equal radius. If the height of the cylinder is 6cm, then the height of the cone was:

$A (1,2) B (2,3) C (3,4)$ are given points. Out of the following which is true ?

If $\operatorname{HCF}(a, b)=18$ then $\operatorname{LCM}(a, b)=\ldots \ldots \ldots$. is not possible.