What Is the Probability of January Having 5 Sundays?

Learn why January has a 1 in 7 chance of containing 5 Sundays based on the month's start day and length.

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The probability of January having 5 Sundays is 1 in 7. For a month to have 5 Sundays, it needs to have 31 days and start on a Sunday. Since January always has 31 days, it becomes a matter of which day of the week it starts on. Hence, there's a simple 1 in 7 chance.

FAQs & Answers

  1. How often does any month have 5 Sundays? A month with 31 days has a 1 in 7 chance of having 5 Sundays, depending on which weekday the month starts.
  2. Why does January have 31 days? January has 31 days as per the Gregorian calendar system, which was designed to align the calendar year with the solar year.
  3. Can months with fewer than 31 days have 5 Sundays? No, only months with 31 days can have 5 Sundays because shorter months don't have enough days to contain 5 Sundays.