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 and understand the conditions that affect this likelihood.

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In a 31-day month, there is a high chance of getting 5 Sundays if the month starts on a Sunday, Monday, Tuesday, Wednesday, or Thursday. This is because starting on any of these days ensures that the month includes at least five Sundays. The probability is approximately 5 out of 7, or around 71.4%.

FAQs & Answers

  1. Can a 31-day month have 5 Sundays? Yes, if the month starts on Sunday, Monday, Tuesday, Wednesday, or Thursday, it will have 5 Sundays.
  2. What is the chance of 5 Sundays in a 31-day month? The probability of having 5 Sundays in a 31-day month is approximately 71.4% or 5 out of 7.
  3. Do all months with 31 days have 5 Sundays? No, only months starting on Sunday through Thursday will have 5 Sundays in a 31-day month.