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# 8 cities, including Memphis, are finalists to be chosen to host a poli

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Math Expert
Joined: 02 Sep 2009
Posts: 46035
8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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03 Nov 2014, 08:06
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:37) correct 15% (00:54) wrong based on 188 sessions

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Tough and Tricky questions: Probability.

8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?

(1) The probability that any one of the 8 cities does not win the competition is 7/8.

(2) The probability that Memphis wins the competition is 1/8.

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Intern
Joined: 12 May 2013
Posts: 27
Concentration: Finance, Economics
GMAT 1: 700 Q49 V36
Re: 8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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03 Nov 2014, 13:37
1
4
Bunuel wrote:

Tough and Tricky questions: Probability.

8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?

(1) The probability that any one of the 8 cities does not win the competition is 7/8.

(2) The probability that Memphis wins the competition is 1/8.

A = Memphis is chosen to host the convention
B = Memphis is not chosen to host the convention

We need to know either $$P(A)$$ or $$P(B)$$ since $$P(A) = 1-P(B)$$

(1) The probability that any one of the 8 cities does not win the competition is 7/8.

$$P(B) = \frac{7}{8}$$ - SUFFICIENT

(2) The probability that Memphis wins the competition is 1/8.[/quote]

$$P(A) = \frac{1}{8}$$ - SUFFICIENT

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Manager
Joined: 10 Sep 2014
Posts: 98
8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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14 Nov 2014, 11:43
statement 1: sufficient
we are being given exactly what the question is asking for

statement 2: sufficient
1- 1/8 = probability memphis is not chosen
Manager
Joined: 31 May 2015
Posts: 81
Re: 8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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24 Jun 2016, 12:42
1
1
Correct me if I am wrong but isn't the answer already on the argument

"8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen? "

There are 8 cities so 1-1/8= 7/8
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Joined: 09 Sep 2013
Posts: 7000
Re: 8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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26 Sep 2017, 00:00
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Re: 8 cities, including Memphis, are finalists to be chosen to host a poli   [#permalink] 26 Sep 2017, 00:00
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