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There are 30 socks in a drawer. Sixty percent of the socks are red, an

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Joined: 02 Sep 2009
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Kudos [?]: 135520 [0], given: 12697

There are 30 socks in a drawer. Sixty percent of the socks are red, an [#permalink]

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New post 31 Oct 2017, 09:19
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E

Difficulty:

  25% (medium)

Question Stats:

79% (00:50) correct 21% (01:29) wrong based on 29 sessions

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There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?

(A) 2
(B) 3
(C) 14
(D) 19
(E) 20
[Reveal] Spoiler: OA

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Re: There are 30 socks in a drawer. Sixty percent of the socks are red, an [#permalink]

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New post 31 Oct 2017, 09:55
Bunuel wrote:
There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?

(A) 2
(B) 3
(C) 14
(D) 19
(E) 20


red socks : 18
at least blue required :2
minimum number of socks to be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen would be 20

IMO E
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Re: There are 30 socks in a drawer. Sixty percent of the socks are red, an [#permalink]

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New post 02 Nov 2017, 16:04
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Bunuel wrote:
There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?

(A) 2
(B) 3
(C) 14
(D) 19
(E) 20


Since 60% of the 30 socks are red, there are 0.6 x 30 = 18 red socks. Assume the worst case scenario; that is, we draw all 18 red socks without looking. Then, if we draw two more socks, we are guaranteed to have at least 2 blue socks. So, at least 20 socks must be drawn to ensure that two blue socks have been chosen.

Answer: E
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Kudos [?]: 1015 [0], given: 3

Re: There are 30 socks in a drawer. Sixty percent of the socks are red, an   [#permalink] 02 Nov 2017, 16:04
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