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Memphis does not win the competition

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Memphis does not win the competition

by sanju09 » Fri May 13, 2011 3:53 am
8 cities, including Memphis, compete in a national contest to host a political convention. Exactly one city wins the competition. What is the probability that Memphis does not win the competition?

(1) The probability that anyone 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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by djiddish98 » Fri May 13, 2011 4:48 am
I would go with D, unless I'm misinterpreting the first statement.

Prop Memphis does not win contest = 1 - (prob they win)

Statement 1 tells us that each city has a 7/8 chance of not winning - therefore Memphis has a 7/8 prob of not winning the contest - answer it right there.

Statement 2 tells us they have a 1/8 chance of winning - 1-(1/8) = chance of not winning, also 7/8.
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