What Is the Probability of Getting 5 Sundays in a 31-Day Month?

Learn how to calculate the probability of having 5 Sundays in a 31-day month based on the starting weekday. Understand the math behind it.

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The probability of getting 5 Sundays in a 31-day month depends on the day of the week the month starts. A 31-day month has 5 occurrences of three specific days of the week. If the month begins on a Sunday, Monday, or Tuesday, it will have 5 Sundays. There are 7 days a week, hence 3 favorable outcomes. The probability is 3 out of 7 or approximately 42.86%.

FAQs & Answers

  1. How often does a 31-day month have 5 Sundays? A 31-day month has 5 Sundays if it starts on a Sunday, Monday, or Tuesday, which happens approximately 42.86% of the time.
  2. Why can some months have 5 Sundays while others don’t? Whether a month has 5 Sundays depends on the day of the week the month starts and the total number of days in the month.
  3. Can February have 5 Sundays? February cannot have 5 Sundays as it has at most 29 days, which is not enough to fit 5 Sundays.

Watch More

Explore more content on calendar probabilities and date-related calculations to deepen your understanding of how days and dates interact in various months and years. Check out our guides on calculating weekdays in months and understanding leap years for more insights.

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