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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
Posts: 34
Followers: 0

Kudos [?]: 2 [0], given: 0

The integers from 1 to 100 inclusive are each written on a [#permalink]  03 Dec 2005, 07:05
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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%
Director
Joined: 13 Nov 2003
Posts: 790
Location: BULGARIA
Followers: 1

Kudos [?]: 30 [0], given: 0

50 even numbers ,17 odd multiples of 3 then 67/100
Senior Manager
Joined: 11 May 2004
Posts: 458
Location: New York
Followers: 1

Kudos [?]: 18 [0], given: 0

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?
Current Student
Joined: 29 Jan 2005
Posts: 5240
Followers: 23

Kudos [?]: 191 [0], given: 0

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.
SVP
Joined: 14 Dec 2004
Posts: 1706
Followers: 1

Kudos [?]: 58 [0], given: 0

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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