find the percentage of poplation of population whose birthday falls on the last day of februray in aleep year assuming the number of births each day is the same
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The choices given are not very close to each other. Hence, we can easily approximate as given below.
In every 4 years, there is one leap year.
So, there is one 'Feb 29' in every 4×365+ 1 = 1461 days (∵ 1 is added due to account 366 days in the leap year)
Therefore, required percentage =
= 0.0684.
But all years divisible by 4 are not leap years. If you want an exact answer, use the following procedure.
Take a span of 400 days
So, number of leap years in every 400 years = 100-3 = 97. We decreased the count by 3 because 100,200,200
are not leap years though divisible by 4 (Every 4th century is a leap year. But no other century is a leap year)
Total count of 'Feb 29' in every 400 years = 97
Total number of days in every 400 years = 400×365 + 97 = 146097
Percentage of the people whose birthday will fall on 29th February =
= 0.06639
In every 4 years, there is one leap year.
So, there is one 'Feb 29' in every 4×365+ 1 = 1461 days (∵ 1 is added due to account 366 days in the leap year)
Therefore, required percentage =
= 0.0684.
But all years divisible by 4 are not leap years. If you want an exact answer, use the following procedure.
Take a span of 400 days
So, number of leap years in every 400 years = 100-3 = 97. We decreased the count by 3 because 100,200,200
are not leap years though divisible by 4 (Every 4th century is a leap year. But no other century is a leap year)
Total count of 'Feb 29' in every 400 years = 97
Total number of days in every 400 years = 400×365 + 97 = 146097
Percentage of the people whose birthday will fall on 29th February =
= 0.06639
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