Question

If a leap year is selected randomly, then what is the probability of having 53 Mondays in this year?

(1) 1/7

(2) 2/7

(3) 53/366

(4) 52/365

Answer 1

Correct option: (2) 2/7

Explanation:

In leap year there are 366 days which contains 52 weeks + 2 days.

52 weeks contains 52 Mondays and the remaining 2 days can be

(M, T), (T, W), (W, Th), (Th, F), (F, Sat), (Sat, Sun), (Sun, M)

So there are 7 possibility for 2 days. out of which 2 of the cases our favorable cases.

So required probability = 2/7.