Question

Find the probability that i) an leap year has 53 sundays. ii) a non leap year has 53 sundays

Answer 1

the probability of an leap year has 53 days =53/366
the probability of a non leap year has 53 Sunday's =53/365

Answer 2

Answer- In a leap year there are 366days.

So,total weaks in a leap year = 52weeks,2days

Because as in a non leap year there are 365 days and it has 52 weeks and 1 day so if it is a leap year than there is addition of 1 day .

Hence,these two days can be -- sun,Mon ; Mon,Tue;Tue,Wed;Wed,Thu;Thu,Fri;Fri,Sat;sat,sun.

So in question we have asked about Sunday so in the outcome Sundays are two .

So the probability of 53 Sundays in a leap year=2÷7

Also, probability of 53 Sundays in a non leap year = 1÷7 because it has 52 weeks and 1day.