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

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

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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.
[Reveal] Spoiler: OA

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

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New post 03 Nov 2014, 13:37
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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

Correct answer is D

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

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New post 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

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

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New post 24 Jun 2016, 12:42
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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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Re: 8 cities, including Memphis, are finalists to be chosen to host a poli [#permalink]

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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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