What Is the Probability That April Has 5 Sundays? Explained
Learn how to calculate the probability of April having 5 Sundays and why it occurs about once every 7 years.
Video transcript
The probability that a month of April has 5 Sundays is calculated by analyzing the calendar structure. For April to have 5 Sundays, it must start on a Sunday if the month has 30 days. This situation occurs in approximately 1 out of every 7 years, making the probability around 14.28%.
Questions and answers
How often does April have 5 Sundays?
April has 5 Sundays roughly once every 7 years, which corresponds to a probability of about 14.28%.
Why does April need to start on a Sunday for 5 Sundays to occur?
Since April has 30 days, if it starts on a Sunday, it will have Sundays on days 1, 8, 15, 22, and 29 — a total of 5 Sundays.
Can other months have 5 Sundays?
Yes, months with 31 days or specific starting weekdays can also have 5 Sundays, depending on the calendar layout.
How is the probability of a month having 5 Sundays calculated?
The probability is calculated by analyzing the number of possible starting weekdays for the month and counting how many lead to 5 Sundays.