Probability of Getting 52 Sundays in a Leap Year

A leap year has 366 days instead of the usual 365 days. This extra day is added to keep our calendar in alignment with the Earth's revolutions around the Sun.

In order to find the probability of getting 52 Sundays in a leap year, we need to consider the following factors:

1. Understanding Leap Years:
- A leap year occurs every 4 years.
- Leap years are divisible by 4, but not divisible by 100, unless they are divisible by 400.

2. Number of Days in a Week:
- There are 7 days in a week: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday.

3. Number of Sundays in a Leap Year:
- To find the number of Sundays in a leap year, we need to determine the number of days that fall on a Sunday.
- Since there are 7 days in a week, every 7th day will be a Sunday.
- Therefore, there will be a total of 52 Sundays in a leap year.

4. Calculating the Probability:
- Probability is defined as the number of desired outcomes divided by the total number of possible outcomes.
- In this case, the desired outcome is getting 52 Sundays in a leap year.
- The total number of possible outcomes is the total number of days in a leap year, which is 366.

- Therefore, the probability of getting 52 Sundays in a leap year is:
Desired Outcomes / Total Outcomes
= 52 / 366
= 13 / 91
= 1 / 7
≈ 0.143

Conclusion:
The probability of getting 52 Sundays in a leap year is 1/7 or approximately 0.143. This means that there is a 1 in 7 chance of any given day in a leap year being a Sunday.