Question

Find the fraction for the number of sundays to the total number of days in a non leap year.Assume that the first day of the year is monday.​

Answer 1

in a leap year there are 366 days .

we have ,

366days=52weeks and 2days

thus, a leap year has always 52sundays .

the remaining 2 days can be:

1. Sunday and Monday
2. Monday and Tuesday
3. Tuesday and Wednesday
4. Wednesday and Thursday
5. Thursday and Friday
6. Friday and Saturday
7. Saturday and Sunday

clearly, there are seven elementary events associated with this random experiment,Let A be the event A will happen if the last two days of the leap year are either Sunday and Monday or Saturday and Sunday .

favorable number of elementary events

=2

hence, required probability =2/7

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Answer 2

The fraction for the number of sundays to the total number of days in a non-leap year is 52 / 365.

• A non-leap year has 365 days as it has has only 28 days in the month of february.
• It might have 52 or 53 sundays, depending on which day the year begins.
• Since the first day of the year is monday, as the given assumption in the question, the year will have a total of 52 sundays.
• The fraction will be given as,

        $\frac{52}{365}$.