Download App

Probability — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsProbability1 Mark
MCQ
The probability that a leap year selected at random will have $53$ Fridays is :
  • ✓
    $\frac{2}{7}$
  • B
    $\frac{6}{7}$
  • C
    $\frac{4}{7}$
  • D
    $\frac{1}{7}$
✓

Answer

Correct option: A.
$\frac{2}{7}$
Leap year contains $366$ days $= 364$ days $+\ 2$ days $= 364/73$ weeks $+\ 2$ additional days $= 52$ weeks $+\ 2$ additional days
$52$ weeks contain $52$ Fridays
We will get $53$ Fridays if one of the remaining two additional days is a Friday
These additional days can be :
$\text{(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday)}$
$\text{(Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)}$
Number of total outcomes $= 7$
Number of possible outcomes $= 2$
$\therefore$ Required Probabillity of the event $=\frac{\text{Number of possible outcomes}}{\text{Number of total outcomes }}=\frac{2}{7}$

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 Probability→Probability — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The curved surface area of a cylindrical pillar is $264m^2$ and its volume is $924m^3$. The height of the pillar is:
→
If each edge of a cube is increased by $50\%$, the percentage increase in the surface area is:
→
If the $n^{\text {th }}$ term of an AP is $3 n+7$, then its common difference is
→
Choose the correct answer from the given four options : A cylindrical pencil sharpened at one edge is the combination of :
→
Three bells ring at intervals of 4,7 and 14 minutes. All the three rang at 6 AM . When will they ring together again?
→
What is the probability that a non-leap year has 53 Sundays?
→
If one end of a diameter of a circle is $(4, 6)$ and the centre is $(-4, 7),$ then the other end is
→
The heights of two circular cylinders of equal volume are in the ratio $1 : 2.$ The ratio of their radii is:
→
The $\text{LCM}$ of two consecutive numbers is :
→
If $\tan\theta=\frac{1}{\sqrt7}$ then $\frac{(\text{cosec}^2\theta-\sec^2\theta)}{(\text{cosec}^2\theta+\sec^2\theta)}=? $
→