find the probability of 2024 febuary must have 5 sunday
Answers
Answer:
“How can I find the probability that there are five Sundays in the month of February in a leap year?”
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.
NB - any leap year February will begin and end on the same day of the week, so beginning on Sunday 1st is the same as ending on Sunday 29th.
Every February beginning on a Sunday is a year beginning on a Thursday.
29/7=4+1day
This one day can be
Either of
Sun , mon , tue ,wed , Thursday,Friday Saturday
P(5th Sunday)=1/7