Asked by DOM
What is the probability that an year will have 53 Tuesdays
Answers
Answered by
Reiny
That depends on the leap years.
e.g
number of Tuesdays in our leap-year cycle:
2016 -- 52
2017 -- 52
2018 -- 52
2019 -- 53
So in any leap-year cycle there are 3(52) + 53 or 209 Tuesdays
and in that leap-year cycle there are 3(365) + 366 or 1460 days
(ignoring the fact that every 100 years, the leap year is skipped and every 400 years it is put back in: Zeller's congruence .... )
prob(of your event) = 209/1460 = appr .14315
e.g
number of Tuesdays in our leap-year cycle:
2016 -- 52
2017 -- 52
2018 -- 52
2019 -- 53
So in any leap-year cycle there are 3(52) + 53 or 209 Tuesdays
and in that leap-year cycle there are 3(365) + 366 or 1460 days
(ignoring the fact that every 100 years, the leap year is skipped and every 400 years it is put back in: Zeller's congruence .... )
prob(of your event) = 209/1460 = appr .14315
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