Question

Find the probability that there are 5 Sundays in the month of February in a leap year.
(Ans. = 1/7)​

Answer 1

Number of days in February in leap year= 29

1 week = 7 days = 1 Sunday

Number of weeks in February in leap year= 29/7

= 4 week 1 day

4 weeks = 4 Sunday

Now, 1 Day can be:

1.Monday

2.Tuesday

3.Wednesday

4.Thursday

5.Friday

6.Saturday

7. Sunday

No. of possible outcome=7

No. of favourable outcomes= 1

Probability of 5 Sundays = 1/7

Answer 2

Answer:

You can either use a full 400 year cycle Gregorian calendar, or you can make your own - the easiest option I’ve found is to use a spreadsheet.

There are 97 leap years in a a 400 year cycle, and leap year dates - including 29 February - will occur on a particular day of the week either 13, 14, or 15 times. Leap years that have five Sundays in February occur 13 times out of 97 leap years, making slightly more than 13.4% of all leap years.

Step-by-step explanation:

I hope it will help you