Question

What is the probability that a leap year at random will contain 53 sunday

Answer 1

The probability of a year being a leap year is 1/4 and being non-leap is 3/4.

A leap year has 366 days or 52 weeks and 2 odd days.

The two odd days can be {Sunday,Monday},{Monday,Tuesday},{Tuesday,Wednesday}, Wednesday,Thursday},{Thursday,Friday},{Friday,Saturday},{Saturday,Sunday}.

So there are 7 possibilities out of which 2 have a Sunday. So the probability of 53 Sundays in a leap year is 2/7.