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# For a group of n people, k of whom are of the same sex, the n-k/n expr

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Math Expert
Joined: 02 Sep 2009
Posts: 55266
For a group of n people, k of whom are of the same sex, the n-k/n expr  [#permalink]

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23 Nov 2015, 12:34
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Difficulty:

15% (low)

Question Stats:

93% (01:26) correct 7% (00:34) wrong based on 38 sessions

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For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?

(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

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Re: For a group of n people, k of whom are of the same sex, the n-k/n expr  [#permalink]

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23 Nov 2015, 21:46
Index for females = (20-4)/20 = 4/5 = 0.8
Index for males = (20-16/20 = 1/5 = 0.2
Index for females exceeds males by 0.8 - 0.2 = 0.6

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Re: For a group of n people, k of whom are of the same sex, the n-k/n expr  [#permalink]

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13 Mar 2018, 17:04
Bunuel wrote:
For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?

(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

The women have an index of:

(20 - 4)/20 = 16/20 = 4/5 = 0.8

The men have an index of:

(20 - 16)/20 = 4/20 = 1/5 = 0.2

Thus, the index for the females exceeds that of the males by 0.8 - 0.2 = 0.6.

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Re: For a group of n people, k of whom are of the same sex, the n-k/n expr   [#permalink] 13 Mar 2018, 17:04
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