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# what is the probability that a leap year selected at random

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Manager
Joined: 04 Dec 2005
Posts: 81
what is the probability that a leap year selected at random [#permalink]

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01 Jan 2007, 12:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

what is the probability that a leap year selected at random will contain 53 sundays????
1. 1/2
2. 1/9
3. 1/14
4. 1/7
5. 2/7
Senior Manager
Joined: 23 Jun 2006
Posts: 387

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01 Jan 2007, 12:36
2/7

a leap year has 366 days which are 52 full weeks plus 2 days.

the chance that one of these is a sunday 2/7
SVP
Joined: 08 Nov 2006
Posts: 1554
Location: Ann Arbor
Schools: Ross '10

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01 Jan 2007, 17:59
hobbit wrote:
2/7

a leap year has 366 days which are 52 full weeks plus 2 days.

the chance that one of these is a sunday 2/7

To elaborate, the 2 days can be any of the following combinations

Sun,Mon
Mon,Tue
Tue,Wed
Wed,Thu
Thu,Fri
Fri,Sat
Sat,Sun

The probability of getting a Sunday/Monday/Tuesday... is 2/7.
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Manager
Joined: 04 Dec 2005
Posts: 81

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04 Jan 2007, 14:27
Thanks Guys. OA is 2/7
04 Jan 2007, 14:27
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