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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 basket contains 5 apples, of which 1 is spoiled and the tagged by: BTGmoderatorLU ##### This topic has 5 expert replies and 0 member replies ### Top Member ## A basket contains 5 apples, of which 1 is spoiled and the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5 The OA is C. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1756 messages Followed by: 28 members Upvotes: 470 BTGmoderatorLU wrote: Source: GMAT Prep A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5 The OA is C. There are 4 good and 1 bad apple. Probability of picking 2 apples such that 1 is good and the other is bad = (4C1 * 1C1) / (5C2) = 4/(5.4/1.2) = 2/5 The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GRE Prep Locations: GRE Classes Miami | GRE Prep Course Munich | GRE Prep Denver | LSAT Prep Course Orlando | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15093 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorLU wrote: Source: GMAT Prep A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5 P(spoiled apple is selected) = 1 - P(spoiled apple is NOT selected). P(1st apple is not spoiled) = 4/5. (Of the 5 apples, 4 are not spoiled). P(2nd apple is not spoiled) = 3/4. (Of the 4 remaining apples, 3 are not spoiled). Since we want both events to happen, we multiply the fractions: 4/5 * 3/4 = 3/5. Thus, P(spoiled apple is selected) = 1 - 3/5 = 2/5. The correct answer is C. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1273 messages Followed by: 29 members Upvotes: 59 BTGmoderatorLU wrote: Source: GMAT Prep A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5 $5\,\,{\text{apples}}\,\,\left\{ \begin{gathered} \,1\,\,{\text{spoiled}} \hfill \\ \,4\,\,{\text{good}} \hfill \\ \end{gathered} \right.$ $? = P\left( {{\text{extract 2,}}\,\,{\text{1}}\,\,{\text{spoiled}}} \right)$ ${\text{total}}:\,\,C\left( {5,2} \right) = 10\,\,\,{\text{equiprobables}}$ ${\text{favorable:}}\,\,{\text{4}}\,\,\,\,\left( {{\text{spoiled}} + {\text{any}}\,\,{\text{good}}} \right)$ $? = \frac{4}{{10}} = \frac{2}{5}$ 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 GMAT Instructor Joined 25 Apr 2015 Posted: 2006 messages Followed by: 14 members Upvotes: 43 BTGmoderatorLU wrote: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5 We need to determine the probability of selecting a spoiled apple and a non-spoiled apple when selecting two apples. The number of ways to select the spoiled apple is 1C1 = 1. The number of ways to select one good apple is 4C1 = 4. Thus, the spoiled apple and a good apple can be selected in 1 x 4 = 4 ways. The number of ways to select 2 apples from 5 is 5C2 = (5 x 4)/2! = 20/2 = 10. Thus, the probability of selecting the spoiled apple and a good apple is 4/10 = 2/5. Alternate Solution: There are two outcomes that satisfy the requirement that the spoiled apple (S) is chosen along with a good apple (G), either S-G or G-S. The probability of S-G is (1/5)(4/4) = 1/5. The probability of G-S is (4/5)(1/4) = 1/5. Since either outcome satisfies our requirement, we add these two probabilities: 1/5 + 1/5 = 2/5. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10071 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All We're told that we have 4 regular apples and 1 spoiled apple. We're asked - if you grab 2 apples, then what's the probability of getting the spoiled apple? The question can be solved in a couple of ways. Here's how to track each of the different outcomes that matches what we're looking for: 1st regular, 2nd spoiled = (4/5)(1/4) = 4/20 1st spoiled, 2nd regular = (1/5)(4/4) = 4/20 Total ways to get 1 spoiled and 1 regular = 4/20 + 4/20 = 8/20 = 2/5 Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • FREE GMAT Exam Know how you'd score today for$0

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