What Is the Probability of Getting 53 Sundays or 53 Mondays in a Non-Leap Year?

Learn the probability of having 53 Sundays or Mondays in a non-leap year and how calendar dates affect this occurrence.

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In a non-leap year with 365 days, the probability of getting 53 Sundays or 53 Mondays is 2/7 or about 28.57%. This occurs because there is one extra day beyond the 52 full weeks. If the year starts on a Sunday or a Monday, you'll have 53 of that day. Utilize a calendar to track when these extra days fall.

FAQs & Answers

  1. Why can a non-leap year have 53 Sundays or Mondays? A non-leap year has 365 days, which equals 52 full weeks plus 1 extra day. If this extra day falls on a Sunday or Monday, that day will occur 53 times.
  2. What is the probability of 53 Sundays or Mondays in a non-leap year? The probability is 2/7 or about 28.57%, since the extra day can fall on any day of the week with equal chance.
  3. How does the starting day of the year affect the number of Sundays or Mondays? If the year starts on a Sunday, there will be 53 Sundays; if it starts on a Monday, there will be 53 Mondays.