MCQ
What is the probability that a leap year has 52 Mondays?
- ✓$\frac{5}{7}$
- B$\frac{6}{7}$
- C$\frac{2}{7}$
- D$\frac{4}{7}$
✓
Answer
Correct option: A.
$\frac{5}{7}$
(a) $\frac{5}{7}$
Explanation: No. of days in a leap year $=366$
No. of Mondays $=52$
Extra days $=366-52 \times 7$
$=366-364=2$
$\therefore$ Remaining days in the week $=7-2=5$
$\therefore$ Probability of being 52 Mondays in the leap
$\text { year }=\frac{5}{7}$
Explanation: No. of days in a leap year $=366$
No. of Mondays $=52$
Extra days $=366-52 \times 7$
$=366-364=2$
$\therefore$ Remaining days in the week $=7-2=5$
$\therefore$ Probability of being 52 Mondays in the leap
$\text { year }=\frac{5}{7}$
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