Question
What is the probability that a randomly taken leap year has 52 Sundays?
✓
Answer
A leap year has 366 days $=52$ weeks and 2 days
Now, 52 weeks contain 52 Sundays
The remaining 2 days can be :
(i) Sunday and Mondays
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Thursday and Friday
(v) Wednesday and Thursday
(vi) Friday and Saturday
(vii)Saturday and Sunday
Out of these 7 cases, there are 5 cases favouring it not to be Sunday.
Now, 52 weeks contain 52 Sundays
The remaining 2 days can be :
(i) Sunday and Mondays
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Thursday and Friday
(v) Wednesday and Thursday
(vi) Friday and Saturday
(vii)Saturday and Sunday
Out of these 7 cases, there are 5 cases favouring it not to be Sunday.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
→→→→→
If $\sin \theta=\frac{1}{3}$, then find the value of $2 \cot ^2 \theta+2$.
→If $x \sin 60^{\circ}+\cos 30^{\circ}-\tan 45^{\circ}=\frac{\sqrt{3}}{2}$, find the value of $x$.
→Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.
Find the distance between the pair of points (-5, 7), (-1, 3)
In Fig. 3, PQ = 24cm, QR = 26cm, $\angle\text{PAR}=90^\circ,$ PA = 6cm and AR = 8cm. Find $\angle\text{QPR}=90^\circ.$
→State whether the given statement is true of false:
The sum of two rationals is always rational.
The sum of two rationals is always rational.
A fair coin is tossed twice, find the probability of getting 'at most one head'.
If 1 is a root of the equation $a y^2+a y+3=0$ and $y^2+y+b=0$ then find the value of $a b$.
→In Figure 2, DE||BC in $\triangle\text{ABC}$ such that BC = 8cm, AB = 6cm and DA = 1.5cm. Find DE.
→