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# probability that he is also drinking mixed drinks ?

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Joined: 29 Jun 2010
Posts: 249
Schools: LBS, Oxford
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Kudos [?]: 33 [0], given: 12

probability that he is also drinking mixed drinks ? [#permalink]  10 Jul 2011, 19:43
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Question Stats:

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A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 40% are drinking beer, 40% are drinking mixed drinks, and 20% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?

A. 2/5
B. 4/7
C. 10/17
D. 7/24
E. 7/10
[Reveal] Spoiler: OA
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Joined: 26 May 2005
Posts: 565
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Kudos [?]: 158 [0], given: 13

Re: probability that he is also drinking mixed drinks ? [#permalink]  10 Jul 2011, 21:58
Alchemist1320 wrote:
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 40% are drinking beer, 40% are drinking mixed drinks, and 20% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?

A. 2/5
B. 4/7
C. 10/17
D. 7/24
E. 7/10

Suppose there are 100 students

Group A : 40% = 40 students
40% drink beer = 16
40% mixed = 16
20% both = 8

Group B 60% = 60
30% beer= 18
30% mixed = 18
20% both= 12

now we need both ( beer + mixed = both)

probability = total beer drinker = 16+18 =34 and both = 20
thus 20/34 = 10/17
Hence C
Re: probability that he is also drinking mixed drinks ?   [#permalink] 10 Jul 2011, 21:58
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