Probability of getting 52 Sundays in a leap year
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Answered by
99
There are 52 weeks in a way which means there will be 52 Sundays in a year.
There are 365 days in a year but we have 366 days in a leap year.
There are 7 days in a week.
If we multiply the weeks by the days we have 52x7 which equals to 364. This means that there are 2 extra days in a leap year which will make it 366.
The probability of having 52 Sundays in a leap year is thus: the remaining two days can be any of this formation:
Sunday-Monday, Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday, Thursday-Friday, Friday-Saturday, Saturday-Sunday.
However, to get 52 Sundays in a leap year, none of the remaining two days must be a Sunday. Therefore, out of the 7 combinations above, that can be only realized 5 out of 7 times. The connection "Sunday-Monday and Saturday-Sunday" most be scraped off.
The probability of having 52 Sundays in a leap year is therefore 5/7
There are 365 days in a year but we have 366 days in a leap year.
There are 7 days in a week.
If we multiply the weeks by the days we have 52x7 which equals to 364. This means that there are 2 extra days in a leap year which will make it 366.
The probability of having 52 Sundays in a leap year is thus: the remaining two days can be any of this formation:
Sunday-Monday, Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday, Thursday-Friday, Friday-Saturday, Saturday-Sunday.
However, to get 52 Sundays in a leap year, none of the remaining two days must be a Sunday. Therefore, out of the 7 combinations above, that can be only realized 5 out of 7 times. The connection "Sunday-Monday and Saturday-Sunday" most be scraped off.
The probability of having 52 Sundays in a leap year is therefore 5/7
Answered by
49
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