Question

What is the probability of getting 53 mondays in a year of 365 days?

Answer 1

total outcome 7

In a year 365 days

Extra days 365/7=1

P e of 53 Mondays 1/7

Answer 2

We have, 365 days = 364 days 1 days = (52 أ— 7) days 1 day = 52 weeks 1 day So, a non-leap year will always have 52 Mondays. The remaining one day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday. Total number of outcomes = 7 Let E denote the event that a non-leap year has 53 Mondays. There is only one outcome in favour of the event E i.e., the remaining one day is a Monday. Number of favourable outcomes = 1 Thus, the probability of a non-leap year having 53 Monday's is 1/7