What is the Probability of Having 5 Sundays in January?

Learn how to calculate the probability of 5 Sundays in January and why it happens about 42.86% of the time.

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The probability of 5 Sundays in January depends on the year. January has 31 days, so for it to have 5 Sundays, the first Sunday must fall on one of the first three days of the month. This can occur in 3 out of 7 possible cases, giving a probability of 3/7 or about 42.86%.

FAQs & Answers

  1. How often does January have 5 Sundays? January has 5 Sundays approximately 3 out of every 7 years, or about 42.86% of the time.
  2. Why does January sometimes have 5 Sundays? Because January has 31 days, if the first Sunday falls within the first three days, the month will contain 5 Sundays.
  3. What is the probability that January has 5 Sundays in a given year? The probability is 3 out of 7, or approximately 42.86%, depending on which day of the week January 1st falls.