What is the probability that a leap year has 53 Sunday
Answers
Answered by
3
Very slightly higher than 2/7, owing to the
400-year cycle of leap years (years which are divisible by 100, but not
by 400, are not leap years — so 2100 will not be one.)
Answered by
1
We know that a normal year has 365 days with 7 days comprises a week.
Thus, Number of weeks in normal year =365÷7 = 52 weeks and 1 left a day(which is 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays, 52 Sundays)
A leap year has 366 days in which 2 days are left with 52 weeks.
That can be any of the day of a week.
So, Total possible days are:
(Sunday, Monday)
(Monday, Tuesday)
(Tuesday, Wednesday)
(Wednesday, Thursday)
(Thursday, Friday)
(Friday, Saturday)
(Saturday, Sunday)
So, here favorable outcome = 2 {i.e.(Sunday, Monday), (Saturday, Sunday)}
Total possible outcomes = 7 (written above)
Thus, required probability = 2/7
Similar questions