Question

What is the chance that a leap year selected at random will contain 53 Sundays?

• A. the required probability=$\frac{2}{7}$
• B. the required probability=$\frac{3}{7}$
• C. the required probability=$\frac{1}{7}$
• D. the required probability=$\frac{4}{7}$

Answer 1

Answer: (A)

the required probability=$\frac{2}{7}$

A leap year consists of 366 days and so it has 52 complete weeks and two extra days. These two days can be
(i) Monday and Tuesday
(ii)Tuesday and Wednesday
(ii)Wednesday and Thursday
(iv)Thursday and Friday
(v)Friday and Saturday
(vi)Saturday and Sunday
(vii)Sunday and Monday
Of these 7 cases, the last two are favourable
Hence the required probability$=\frac{2}{7}$