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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
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5/6 of the population of the country of Venezia lives in Montague Prov
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04 Jun 2021, 23:09
04 Jun 2021, 23:09
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Question Stats:
85% (02:39) correct
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5/6 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
(A) 28%
(B) 41%
(C) 45%
(D) 72%
(E) 78%
(A) 28%
(B) 41%
(C) 45%
(D) 72%
(E) 78%
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Re: 5/6 of the population of the country of Venezia lives in Montague Prov
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05 Jun 2021, 11:03
05 Jun 2021, 11:03
1
GeminiHeat wrote:
5/6 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
(A) 28%
(B) 41%
(C) 45%
(D) 72%
(E) 78%
(A) 28%
(B) 41%
(C) 45%
(D) 72%
(E) 78%
Attachment:
5-6th of the population of the country of Venezia lives in Montague Province.png [ 8.29 KiB | Viewed 1386 times ]
P (Juliet supporter residing in Capulet) \(= \frac{7V}{17V} = \frac{7}{17} = 0.4117\)
Hence, option B
gmatclubot
Re: 5/6 of the population of the country of Venezia lives in Montague Prov [#permalink]
05 Jun 2021, 11:03
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