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.

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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

  1. 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%.

  2. 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.

  3. 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.

  4. 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.