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02 Apr 2020, 09:37
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E
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Difficulty:
55%
(hard)
Question Stats:
48% (00:53) correct
52%
(00:36)
wrong
based on 242
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What is the probability of being born on a leap day? (of a leap year)
A) 1/364
B) 1/365
C) 1/366
D) 1/1460
E) 1/1461
A) 1/364
B) 1/365
C) 1/366
D) 1/1460
E) 1/1461
02 Apr 2020, 13:15
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We have 1 leap day in every 4 years.
Total number of days = 365+365+365+366 = 1461
probability of being born on a leap day = 1/1461
Total number of days = 365+365+365+366 = 1461
probability of being born on a leap day = 1/1461
costcosized
04 Apr 2020, 14:41
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costcosized
Since a leap day only occurs once every 4 years, which comprise 3 common years and 1 leap year. Since 3 common years = 3 x 365 = 1095 days and 1 leap year = 366 days, there is only 1 leap day in a total of 1095 + 366 = 1461 days. Therefore, the probability of being born on a leap day is 1/1461.
(Note: The solution above does not take into account the negligible difference in probability caused by the fact that not every 4th year is a leap year. Any year evenly divisible by 100 (such as the years 1900 or 2100) is not a leap year, unless the year is divisible by 400 (e.g.,the years 2000 or 2400); then it is a leap year.)
Answer: E
