UPSC NDA 2 2012 Mathematics Paper

A leap year contain 366 days i.e., 52 weeks and 2 days, clearly there are 52 Mondays in 52 weeks.
For the remaining two days, we may have any of the following two days.
(i) Monday and Tuesday
(ii) Tuesday and Wednesday
(iii) Wednesday and Thursday
(iv) Thursday and Friday
(v) Friday and Saturday
(vi) Saturday and Sunday
(vii) Sunday and Monday
Now for 53 Mondays, one of the two days must be Monday.
Hence, the required probability =‌

2

7

.