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# What is the probability of being born on a leap day?

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Intern
Joined: 28 Jan 2017
Posts: 48
What is the probability of being born on a leap day?  [#permalink]

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02 Apr 2020, 08:37
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35% (medium)

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47% (00:50) correct 53% (00:43) wrong based on 30 sessions

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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
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Joined: 19 Oct 2018
Posts: 1878
Location: India
Re: What is the probability of being born on a leap day?  [#permalink]

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02 Apr 2020, 12:15
1
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

costcosized wrote:
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
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10645
Location: United States (CA)
Re: What is the probability of being born on a leap day?  [#permalink]

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04 Apr 2020, 13:41
1
costcosized wrote:
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

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.)

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Re: What is the probability of being born on a leap day?   [#permalink] 04 Apr 2020, 13:41