What is the probability that a leap year has 53 Sundays and 52 Mondays?

What is the probability that a leap year has 53 Sundays and 52 Mondays?

Explanation

A leap year has 366 days, which means 52 full weeks (364 days) and 2 extra days. The extra days can be:

  • Sunday and Monday
  • Monday and Tuesday, etc.

For a leap year to have 53 Sundays and 52 Mondays, the two extra days must be Sunday and Monday, which happens in 2 out of 7 possible combinations.

Hence, the probability is 2/7.