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# The integers from 1 to 100 inclusive are each written on a

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Intern
Joined: 05 Nov 2005
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The integers from 1 to 100 inclusive are each written on a [#permalink]

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03 Dec 2005, 08:05
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The integers from 1 to 100 inclusive are each written on a single slip of paper and dropped into a jar. If one slip of paper is remove at random, approximately what is the probability that the number on it is neither even nor a multiple of 3?
A. 83%
B. 67%
C. 50%
D. 33%
E. 17%

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Director
Joined: 13 Nov 2003
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Location: BULGARIA

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03 Dec 2005, 08:18
50 even numbers ,17 odd multiples of 3 then 67/100

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Senior Manager
Joined: 11 May 2004
Posts: 453

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Location: New York

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03 Dec 2005, 18:25
so the prbobabilty of getting an even or multiple of 3 is 67/100.

1-67/100 = 33/100 = probability that it will be neither?

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Current Student
Joined: 29 Jan 2005
Posts: 5206

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03 Dec 2005, 21:50
Nix all the evens, so that leaves you with half or 50 numbers. Therefore A, B, and C are out.

Of the 50 odd numbers, 1/3 will be multiples of 3. Use logic to save time... clearly E is too low and the trap answer.

(D) remains.

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SVP
Joined: 14 Dec 2004
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04 Dec 2005, 00:30
1) 50 numbers are even
2) Remaining 50 are odd, of which 1/3rd are multiples of 3.

=> 2/3rd of 50 are favorable numbers => 33%

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04 Dec 2005, 00:30
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