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

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The integers from 1 to 100 inclusive are each written on a [#permalink] New post 03 Dec 2005, 07:05
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A
B
C
D
E

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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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 [#permalink] New post 03 Dec 2005, 07:18
50 even numbers ,17 odd multiples of 3 then 67/100
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 [#permalink] New post 03 Dec 2005, 17:25
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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 [#permalink] New post 03 Dec 2005, 20:50
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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 [#permalink] New post 03 Dec 2005, 23:30
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%
  [#permalink] 03 Dec 2005, 23:30
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The integers from 1 to 100 inclusive are each written on a

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