What Is the Probability of Getting 5 Sundays in a Leap Year?

Learn the probability of having 5 Sundays in a leap year with 366 days and 2 extra days—calculated as approximately 28.57%.

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Leap years have 366 days, which consist of 52 weeks and 2 extra days. If these two extra days include Sunday, a leap year will have 5 Sundays. The possible combinations for the extra days are: (Saturday, Sunday) and (Sunday, Monday). Thus, the probability is 2 out of 7, or approximately 28.57%.

FAQs & Answers

  1. How many Sundays are there usually in a leap year? A leap year typically has 52 Sundays, but it can have 5 Sundays if one of the two extra days is a Sunday.
  2. Why do leap years have extra days and how do they affect weekdays? Leap years have 366 days instead of 365 to keep the calendar aligned with the Earth's orbit. The 2 extra days cause some weekdays to appear 5 times instead of 4.
  3. What determines the probability of having 5 Sundays in a leap year? The probability depends on which days fall on the two extra days after 52 weeks; if Sunday is one of these, there will be 5 Sundays.

Watch More

If you found this explanation helpful, explore our related videos on calendar probabilities and date calculations, including how many Fridays occur in a leap year and understanding weekday distributions in different calendar years.

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