Probability - Leap Year

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by lkm » Sun Apr 25, 2010 6:00 pm
jerryragland wrote:Is the probability of a person to have born in a leap year is 1/4?? If so, please explain?
No. It's not.

Reason: Since the duration of a solar year is slightly less than 365.25 days, so years that are evenly divisible by 100 are not leap years, unless they are also evenly divisible by 400, in which case they are leap years.

for example, year 2100, 2200, 2300 are not the leap year.

So, in general, if you go by real mathematics calculation then in every 400 years there could be 100 leap years but since year number 100, 200 and 300 cannot be counted as leap year, so in fact, there are only 97 leap years are there in every 400 years.

So, probability of having leap year would be 97/400 = 0.2425

However, again all this depends upon the context of the question.
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by jerryragland » Sun Apr 25, 2010 6:11 pm
Thank you, LKM