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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 ## Probability tagged by: BTGmoderatorRO ##### This topic has 1 expert reply and 0 member replies ## Probability The probability that an event A occurs is 1/2 and the probability that an even B occurs is 1/3. If event A and event B are independent, what is the probability that event A occurs but event B does not occur? A. 1/6 B. 1/3 C. 1/2 D. 2/3 E. 5/6 OA is b Can someone expatiate on why B is the correct answer. Thanks for your time. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Roland2rule. As the probability that event B occurs is 1/3, then the probability that event B doesn't occur is 2/3. In the question " what is the probability that event A occurs but event B does not occur?", it is asked for both events at the same time. So, the probability of this is $$P\left(A\right)\cdot P\left(No\ B\right)=\frac{1}{2}\cdot\frac{2}{3}=\frac{1}{3}.$$ So, the correct answer is B . I'm available if you'd like a follow up. Regards. _________________ 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. • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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