Katie, Ace, and Rory interviewed for jobs at companies A, B, and C, respectively. The probability that Katie will get a job offer from company A is 14-->; the probability that Ace will get a job offer from company B is 12-->; and the probability that Rory will get a job offer from company C is 58-->. The three companies have no connections to one another, so the job offers are mutually independent. What is the probability that Katie and Ace will get job offers, but not Rory?

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Problem Solving questions are mixed in with Data Sufficiency questions to make up the 37 questions of the GMAT Quantitative section, which must be completed in 75 minutes. The Problems You’ll Work On When working through the problem solving questions test your understanding of: Basic math, including fractions, decimals, ratios and proportions, percents, and exponents. Probability and Statistics, including counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation. Algebra, including polynomials, linear equations and... Show more

Katie, Ace, and Rory interviewed for jobs at companies A, B, and C, respectively. The probability that Katie will get a job offer from company A is <img><m:mrow><m:mfrac><m:mn>1</m:mn><m:mn>4</m:mn></m:mfrac></m:mrow></m:math>-->; the probability that Ace will get a job offer from company B is <img><m:mrow><m:mfrac><m:mn>1</m:mn><m:mn>2</m:mn></m:mfrac></m:mrow></m:math>-->; and the probability that Rory will get a job offer from company C is <img><m:mrow><m:mfrac><m:mn>5</m:mn><m:mn>8</m:mn></m:mfrac></m:mrow></m:math>-->. The three companies have no connections to one another, so the job offers are mutually independent. What is the probability that Katie and Ace will get job offers, but not Rory?