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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Memphis does not win the competition
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sanju09
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djiddish98
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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.
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.
