What is the probability that a leap year has 53 Tuesdays and 53 Mondays?
GIVEN: A leap year
TO FIND: Probability that a leap year has 53 Tuesdays and 53 Mondays
Total number of days in a non leap year is 366days
Hence number of weeks in a non leap year is
In a non leap year we have 52 complete weeks and 2 day which can be any pair of the day of the week i.e.
To make 53 Tuesdays and 53 Mondays the additional days should include Monday and Tuesday
Hence total number of pairs of days is 7
Favorable day i.e. in which one Tuesday and one Monday is there is only 1
We know that PROBABILITY =
Hence probability that a leap year has 53 Tuesdays and 53 Mondays is equal to