What Is the Probability That a 30-Day Month Has 5 Sundays?

Learn how to calculate the probability that a 30-day month contains five Sundays and understand the role of the month's starting day.

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The probability of a 30-day month having 5 Sundays is calculated by identifying the day the month starts on. A 30-day month can only have 5 Sundays if the month begins on a Friday. Since there are 7 possible days a month can start on, and only 1 of those configurations leads to 5 Sundays, the probability is 1 in 7, or approximately 14.29%.

FAQs & Answers

  1. How can a 30-day month have 5 Sundays? A 30-day month can have 5 Sundays only if it starts on a Friday, allowing for five Sundays to occur within the 30 days.
  2. What is the probability of a 30-day month having five Sundays? Since a month can start on any of the seven days of the week, and only starting on a Friday results in five Sundays, the probability is 1 in 7, or approximately 14.29%.
  3. Does the length of the month affect the number of Sundays it can have? Yes, months with 30 or 31 days can have up to 5 Sundays depending on which day of the week the month begins.

Watch More

For more insights on calendar probabilities and date-related calculations, explore our videos on determining the number of weekends in a month and understanding leap year probabilities.

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