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In a group of 800 people, 1/5 play at least one instrument..

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In a group of 800 people, 1/5 play at least one instrument.. [#permalink]

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New post 05 Aug 2012, 08:00
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:31) correct 21% (01:36) wrong based on 161 sessions

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In a group of 800 people, 1/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument?

A) 2/125
B) 3/125
C)2/25
D) 3/25
E) 1/5
[Reveal] Spoiler: OA

Last edited by ferrarih on 05 Aug 2012, 16:58, edited 2 times in total.

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Re: In a group with 800 people... [#permalink]

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New post 05 Aug 2012, 08:08
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ferrarih wrote:
In a grouup of 800 people, 1/5 play at least one instrument, 96 play two or more. Whats it is e probability that one student play exactly one instrument?

A) 2/125
B) 3/125
C)2/25
D) 3/25
E) 1/5


Given that 1/5*800=160 students play 1 or more instrument and 96 play 2 or more, so 160-96=64 students play exactly 1 instrument.

Therefore the probability that a randomly chosen student plays exactly one instrument is 64/800=2/25.

Answer: C.
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Kudos [?]: 133136 [1], given: 12415

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Re: In a group with 800 people... [#permalink]

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New post 05 Aug 2012, 08:14
ferrarih wrote:
In a grouup of 800 people, 1/5 play at least one instrument, 96 play two or more. Whats it is e probability that one student play exactly one instrument?

A) 2/125
B) 3/125
C)2/25
D) 3/25
E) 1/5


P(playing 2 or more instruments) = 96/800 = 3/25.
Then, the probability of playing exactly one instrument is given by:
P(playing 1 or more instruments) - P(playing 2 or more instruments) = 1/5 - 3/25 = 2/25.

Answer C.
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Kudos [?]: 1074 [0], given: 43

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Kudos [?]: 133136 [0], given: 12415

Re: In a group of 800 people, 1/5 play at least one instrument.. [#permalink]

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New post 14 Jul 2013, 00:11

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Re: In a group of 800 people, 1/5 play at least one instrument.. [#permalink]

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New post 15 Sep 2017, 10:44
Given that 1/5*800=160 students play 1 or more instrument

96 play 2 or more,

Therefore, 160-96=64 students play exactly 1 instrument.

Therefore, the probability that a randomly chosen student plays exactly one instrument is 64/800=2/25.

Kudos [?]: 9 [0], given: 67

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Re: In a group of 800 people, 1/5 play at least one instrument.. [#permalink]

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New post 15 Sep 2017, 12:36
1/5th of the 800 students play at least one instrument = 1/5*800 = 160
96 played two or more.
No of students that played exactly one = 160-96= 64

P(E)= 64/160 = 2/25 (C)

Kudos [?]: 1 [0], given: 8

Re: In a group of 800 people, 1/5 play at least one instrument..   [#permalink] 15 Sep 2017, 12:36
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