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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 ## Two dice are rolled. What is the probability... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Two dice are rolled. What is the probability... Two dice are rolled. What is the probability the sum will be greater than 10? A. 1/9. B. 1/12. C. 5/36. D. 1/6. E. 1/5. The OA is B. I need help with this PS question. Can any expert explain it for me please? Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: Two dice are rolled. What is the probability the sum will be greater than 10? A. 1/9. B. 1/12. C. 5/36. D. 1/6. E. 1/5. The OA is B. I need help with this PS question. Can any expert explain it for me please? Thanks. Hi LUANDATO, Let's take a look at your question. When two dice are rolled, all possible outcomes will be: $$\left(1,\ 1\right),\ \left(1,\ 2\right),\ \left(1,\ 3\right),\ \left(1,\ 4\right),\ \left(1,\ 5\right),\ \left(1,\ 6\right)$$ $$\left(2,\ 1\right),\ \left(2,\ 2\right),\ \left(2,\ 3\right),\ \left(2,\ 4\right),\ \left(2,\ 5\right),\ \left(2,\ 6\right)$$ $$\left(3,\ 1\right),\ \left(3,\ 2\right),\ \left(3,\ 3\right),\ \left(3,\ 4\right),\ \left(3,\ 5\right),\ \left(3,\ 6\right)$$ $$\left(4,\ 1\right),\ \left(4,\ 2\right),\ \left(4,\ 3\right),\ \left(4,\ 4\right),\ \left(4,\ 5\right),\ \left(4,\ 6\right)$$ $$\left(5,\ 1\right),\ \left(5,\ 2\right),\ \left(5,\ 3\right),\ \left(5,\ 4\right),\ \left(5,\ 5\right),\ \left(5,\ 6\right)$$ $$\left(6,\ 1\right),\ \left(6,\ 2\right),\ \left(6,\ 3\right),\ \left(6,\ 4\right),\ \left(6,\ 5\right),\ \left(6,\ 6\right)$$ Total possible outcomes = 36 Let's now find the outcomes where the sum of the numbers rolled on both the dice is more than 10 and that are: $$\left(5,\ 6\right),\ \left(6,\ 5\right),\ \left(6,\ 6\right)$$ It means: Total favorable outcomes = 3 Probability the sum will be greater than 10 = 3/36 = 1/12 Therefore, Option B is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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