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If a number between 0 and 1/2 is selected at random, which

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If a number between 0 and 1/2 is selected at random, which [#permalink] New post 25 Feb 2004, 13:19
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If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
(A) 0 and 3/20
(B) 3/20 and 1/5
(C) 1/5 and 1/4
(D) 1/4 and 3/10
(E) 3/10 and 1/2
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 [#permalink] New post 25 Feb 2004, 13:37
answer is E)
Put everything over common denominator X/100
A) 0 - 15
B) 15 - 20
C) 20 - 25
D) 25 - 30
E) 30 - 50

Largest interval is E with 20 points interval
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 [#permalink] New post 25 Feb 2004, 13:37
I simply checked how broad all the intervals are and think it is E)
A) 0 to 3/20=3/20; B)3/20 to 1/5(4/20)=1/20 ; C)1/5 to 1/4=1/20; D)1/4 to 3/10=1/20 and E) 3/10 to 1/2=4/20
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 [#permalink] New post 25 Feb 2004, 14:34
E is the correct. This question is about the continuous probability.

P = Desired range/Total range

Only E has the maximum range = 0.35
A number between the range given by E will most likely occur.
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 [#permalink] New post 25 Feb 2004, 14:37
anandnk wrote:
E is the correct. This question is about the continuous probability.

P = Desired range/Total range

Only E has the maximum range = 0.35
A number between the range given by E will most likely occur.

I think you meant: Only E has the maximum range = 0.20
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 [#permalink] New post 26 Feb 2004, 01:46
Thanks for all the replies! E is the official answer as well... :-D
  [#permalink] 26 Feb 2004, 01:46
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