The probability that a leap year selected randomly will have 53 S… - Vidyadip

MCQ

The probability that a leap year selected randomly will have $53$ Sundays is

A
$\frac{1}{7}$
✓
$\frac{2}{7}$
C
$\frac{4}{{53}}$
D
$\frac{4}{{49}}$

✓

Answer

Correct option: B.

$\frac{2}{7}$

b
(b) A leap year contain $366$ days i.e. $52$ weeks and $2$ days, clearly there are $52$ Sundays in $52$ weeks
For the remaining two days, we may have any of the following two days.
$(i)$ Sunday and Monday, $(ii)$ Monday and Tuesday,
$(iii)$ Tuesday and Wednesday, $(iv)$ Wednesday and
Thursday, $(v)$ Thursday and Friday, $(vi)$ Friday and
Saturday and $(vii)$ Saturday and Sunday.
Now for $53$ Sundays, one of the two days must be Sunday

Hence required probability $ = \frac{2}{7}.$

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 STD 11 - 14. probability→STD 11 - 14. probability — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\text{S}_\text{n}=\sum\limits^{\text{n}}_{\text{r}=1}\frac{1+2+2^2+\ ...\text{ Sum to r terms}}{2^{\text{r}}},$ then $S_n$ is equal to:

The equation of the ellipse with focus $(-1, 1),$ directrix $x - y + 3 = 0$ and eccentricity $\frac{1}{2}$ is:

The value of $\cos 1^\circ \cos 2^\circ \cos 3^\circ ...\cos 179^\circ$ is:

The directrix of the parabola $x^2- 4x - 8y + 12 = 0$ is

Let $\bar{z}$ denote the complex conjugate of a complex number $z$ and let $i=\sqrt{-1}$. In the set of complex numbers, the number of distinct roots of the equation

$\bar{z}-z^2=i\left(\bar{z}+z^2\right)$ is. . . . . .

The sum of first $n$ terms of the given series ${1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + ............$ is $\frac{{n{{(n + 1)}^2}}}{2}$, when $n$ is even. When $n$ is odd, the sum will be

The value of $\tan 3 A-\tan 2 A-\tan A$ is :

If the tangent to the circle ${x^2} + {y^2} = {r^2}$ at the point $(a, b)$ meets the coordinate axes at the point $A$ and $B$, and $O$ is the origin, then the area of the triangle $OAB$ is

If one root of the equation ${x^2} + px + q = 0$ is $2 + \sqrt 3 $, then values of $p$ and $q$ are

What is the approximate radius of the circle whose equation is $\text{(x}-\sqrt{3)}^2+(\text{y}+2)^2=11?$