What Is the Probability of Getting 5 Sundays in August?

Learn how to calculate the chance of having 5 Sundays in August based on which weekday August 1st falls on.

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The probability of getting 5 Sundays in August depends on the day of the week August 1st falls on. Since August has 31 days, for there to be 5 Sundays, August 1st must be on a Thursday, Friday, or Saturday. Given there are 7 possible days August 1st could fall on, and 3 of these days lead to 5 Sundays, the probability is 3 out of 7, or approximately 42.86%.

FAQs & Answers

  1. How often does August have 5 Sundays? August has 5 Sundays approximately 3 out of every 7 years, or about 42.86% of the time, depending on which day of the week August 1st falls.
  2. Why does August having 31 days matter for 5 Sundays? Because August has 31 days, if the first Sunday falls early enough, there can be five Sundays; shorter months usually cannot accommodate 5 Sundays.
  3. On which days must August 1st fall to have 5 Sundays? August 1st must be on a Thursday, Friday, or Saturday for the month to contain 5 Sundays.