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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 Point (x, y) is a point within the triangle... tagged by: AAPL This topic has 1 expert reply and 0 member replies Top Member Point (x, y) is a point within the triangle... Point (x, y) is a point within the triangle. What is the probability that y < x? A. 1/4 B. 1/3 C. 1/6 D. 1/2 E. 1/5 The OA is B. I don't have clear this PS question, I appreciate if any expert explain it for me. Thank you so much. GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: Point (x, y) is a point within the triangle. What is the probability that y < x? A. 1/4 B. 1/3 C. 1/6 D. 1/2 E. 1/5 The OA is B. I don't have clear this PS question, I appreciate if any expert explain it for me. Thank you so much. Hi AAPL, Lets take a look at your question. We will first find the equation of the line connecting the two points (0, 10) and (5, 0). $$Slope\ =\ \frac{0-10}{5-0}=-\frac{10}{5}=-2$$ Equation of line can be written as: $$y-0=-2\left(x-5\right)$$ $$y=-2x+10$$ Now we will find the points (x,y) using the equation. For x=0, y=-2x+10=-2(0)+10=10 $$\left(0,\ 10\right)$$ For x=1, y=-2x+10=-2(1)+10=8 $$\left(1,\ 8\right)$$ For x=2, y=-2x+10=-2(2)+10=6 $$\left(2,\ 6\right)$$ For x=3, y=-2x+10=-2(3)+10=4 $$\left(3,\ 4\right)$$ For x=4, y=-2x+10=-2(4)+10=2 $$\left(4,\ 2\right)$$ For x=5, y=-2x+10=-2(5)+10=0 $$\left(5,\ 0\right)$$ We need to find the points where y < x. We can see only two such points out of the total 6 points we calculated above, i.e. (4, 2) and (5, 0). Hence P(y < x) can be calculated as, $$=\frac{2}{6}=\frac{1}{3}$$ 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. • Free Trial & Practice Exam 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 Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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