Find the probability that the month of January may have 5 Mondays in
(i) a leap year
(ii) a non-leap year.
Find the probability that the month of January may have 5 Mondays in
(i) a leap year
(ii) a non-leap year.

Solution:

For a leap year there are 366 days.

Number of days in January = 31

Total number of January month types = 7

Number of January months with 5 Mondays = 3

(i)Probability that the month of January have 5 Mondays in leap year = 3/7

(ii) Probability that the month of January have 5 Mondays in a non leap year = 3/7