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
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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.