ds prob integers : DS Archive
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# ds prob integers

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VP
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06 Feb 2008, 01:41
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If a number is drawn at random from the first 1000 positive integers, what is the probability of selecting a refined number?

1.any refined number must be divisible by 22
2. a refined number is any even number multiple of 11
Manager
Joined: 02 Jan 2008
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06 Feb 2008, 02:27
D

--
A: multiples of 22 (22, 44, 66,...902), Prob = 41/1000
B. even multiple of 11 (22, 44, 66...902), Prob = 41/1000
Director
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06 Feb 2008, 04:22
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Could there be an argument made for B here?

Statement 1 says "any refined number must be divisible by 22" but they don't say that a refined number IS any number divisible by 22. According to statement one it could be multiples of 66. Statement 2 is sufficient because it gives us the same info but also informs us what exactly a refined number is
CEO
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06 Feb 2008, 04:42
eschn3am wrote:
Could there be an argument made for B here?

Statement 1 says "any refined number must be divisible by 22" but they don't say that a refined number IS any number divisible by 22. According to statement one it could be multiples of 66. Statement 2 is sufficient because it gives us the same info but also informs us what exactly a refined number is

good explanation!
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VP
Joined: 22 Nov 2007
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06 Feb 2008, 05:19
eschn3am wrote:
Could there be an argument made for B here?

Statement 1 says "any refined number must be divisible by 22" but they don't say that a refined number IS any number divisible by 22. According to statement one it could be multiples of 66. Statement 2 is sufficient because it gives us the same info but also informs us what exactly a refined number is

very very good. your reasoning is outstanding. OA is B indeed
Re: ds prob integers   [#permalink] 06 Feb 2008, 05:19
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