What Is the Probability of Getting 53 Sundays in a Regular and Leap Year?

Learn the probability of having 53 Sundays in a regular year versus a leap year and how the year's start day affects this outcome.

Published

Video transcript

The probability of having 53 Sundays in a regular year is 1/7 as the year must start on a Sunday. In a leap year, this probability is slightly higher, at 2/7, because the leap year provides an extra day, making 53 Sundays possible if the year starts on a Sunday or Monday.

Questions and answers

  1. How often does a year have 53 Sundays?

    A regular year has a 1/7 chance to have 53 Sundays, which occurs if the year starts on a Sunday.

  2. Why is the probability higher for 53 Sundays in a leap year?

    In a leap year, the extra day means 53 Sundays can happen if the year starts on either Sunday or Monday, increasing the probability to 2/7.

  3. Can any other weekdays occur 53 times in a year?

    Yes, depending on the year's starting day, it is possible for other weekdays to appear 53 times in both regular and leap years.