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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 ## If a person purchases 15 of the 3,000 tickets sold in a... tagged by: swerve ##### This topic has 2 expert replies and 1 member reply ### Top Member ## If a person purchases 15 of the 3,000 tickets sold in a... If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win? A. 0 B. 1/200 C. 1/2 D. 199/200 E. 1 The OA is D. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I know that the probability that this person will win is 15/3000, but how can I determine the probability that this person will not win?. I need your help. Thanks. Senior | Next Rank: 100 Posts Joined 15 Jan 2018 Posted: 83 messages If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win? A. 0 B. 1/200 C. 1/2 D. 199/200 E. 1 Two solutions, same answer: (1) Pure method: P = P(winning ) = 15/3000 = 5/1000 = 1/200 P' = (P of not winning) = 1 - P = 1 - 1/200 = 199/200 (2) Looking at the given answers: A. 0 - It is not impossible to lose! B. 1/200 - A disproportionately small value! C. 1/2 - It's clearly not an even chance! D. 199/200 - is a reasonable figure E. 1 - It is not certain to lose! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win? A. 0 B. 1/200 C. 1/2 D. 199/200 E. 1 The OA is D. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I know that the probability that this person will win is 15/3000, but how can I determine the probability that this person will not win?. I need your help. Thanks. Hi swerve, Let's take a look at your question. We know that we can find the probability of an event by dividing the number of successful outcomes divided by the total number of outcomes. Number of tickets purchased by a person = 15 Total number of tickets = 3000 We will first find the probability of winning. $$P\left(\text{The person will win}\right)=\frac{15}{3000}=\frac{1}{200}$$ Now, we can find the probability that the person will not win just by subtracting the above probability from 1. $$P\left(\text{The person will not Win}\right)=1-\frac{1}{200}=\frac{200-1}{200}=\frac{199}{200}$$ Therefore, Option D 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. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 swerve wrote: If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win? A. 0 B. 1/200 C. 1/2 D. 199/200 E. 1 The probability of not winning is (3,000 - 15)/3,000 = 2,985/3,000 = 597/600 = 199/200. Alternate solution: The probability of winning is 15/3,000 = 1/200; thus the probability of not winning is 1 - 1/200 = 199/200. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • 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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