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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A class consists of 12 girls and 20 boys. One quarter of the tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A class consists of 12 girls and 20 boys. One quarter of the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Manhattan Prep A class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. If a child is selected at random from the class, what is the probability that the child is a girl who does not have blue eyes? A. 3/32 B. 9/32 C. 3/8 D. 23/32 E. 29/32 OA B ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1125 messages Followed by: 29 members Upvotes: 59 AAPL wrote: Manhattan Prep A class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. If a child is selected at random from the class, what is the probability that the child is a girl who does not have blue eyes? A. 3/32 B. 9/32 C. 3/8 D. 23/32 E. 29/32 $$? = P\left( {{\rm{girl}}\,{\rm{and}}\,\,{\rm{not}}\,\,{\rm{blue}}} \right)$$ $$20\,{\rm{boys}}\,\,\,{\rm{and}}\,\,\,12\,\,{\rm{girls}}\,\,\,\left\{ \matrix{ \,{1 \over 4}\left( {12} \right) = 3\,\,{\rm{girls}}\,\,{\rm{blue}} \hfill \cr \,9\,\,\,{\rm{girls}}\,\,{\rm{not}}\,\,{\rm{blue}} \hfill \cr} \right.$$ $$? = {9 \over {12 + 20}} = {9 \over {32}}$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10020 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. We're asked for the probability that a randomly selected child is a girl who does NOT have blue eyes. This question comes down to some basic organization and Arithmetic. From the first sentence, we know that there are 12 girls and 20 boys. With the second sentence, we can break the 12 girls down into 2 groups: those with blue eyes and those that don't have blue eyes: (1/4)(12) = 3 with blue eyes 12 - 3 = 9 that don't have blue eyes The number of girls who DON'T have blue eyes.... out of the total number of students in the class... is 9/32 Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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