In a non-leap year, there are 365 days. When we divide 365 by 7 (the number of days in a week), we get:
365 ÷ 7 = 52 weeks and 1 day.
This means that in a non-leap year, there are 52 complete weeks plus 1 extra day. Therefore, we have 52 Sundays in those 52 weeks.
The extra day can be any day of the week, including Sunday. Hence, there are two scenarios for the extra day:
- If the extra day is a Sunday, then the year will have 53 Sundays.
- If the extra day is not a Sunday, the year will only have 52 Sundays.
Since there are 7 days in a week, the probability of the extra day being a Sunday is:
P(Sunday) = Number of favorable outcomes / Total outcomes = 1 / 7
Thus, the probability of getting 53 Sundays in a non-leap year is:
1/7