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Gambler: The odds of rolling a three with a fair die is one out of six. If I roll two dice, I double my opportunities to roll a three, because on a roll of two dice, the chances of rolling at least one three are two out of six, and if I roll three dice the odds increase to three of six, and so on. My odds keep increasing until I roll six dice, and then I’ll definitely have my three.
Mathematician: Your conclusion cannot be valid, since it would mean that it is impossible to roll six dice without rolling a three.
Which of the following argumentative strategies is used by the mathematician in response to the gambler?
undermining the gambler’s credibility by questioning his understanding of mathematics
arguing that the theory derived by the gambler would lead to an absurdly false conclusion
calling the validity of the gambler’s initial premise into question
stating a general principle that contradicts the gambler’s conclusion
pointing out, at what juncture, the gambler went wrong in his calculation
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It would be more useful if you add the answers later after some discussions.
The only two choices which appealed me were B and D.
I selected B because :
i). "arguing" vs "stating". Here the Mathematician is arguing by answering the Gambler that his conclusion is invalid. ii). The theory proposed by the gambler leads to the impossible conclusion : that he will get 3 no matter what. iii). The Mathematician never states any general principle - as suggested in D.
Great question, Shrive - maybe I like it because it blends GMAT Critical Reasoning with GMAT Probability...it's a Verbal question that includes GMAT quant!
I agree with anshumishra - and I'll point out that when questions ask for a description of logic, the most popular wrong answers are "partially correct" and therefore tempting. You need the right answer to be 100% correct. A for example, is halfway right - he does undermine the gambler's credibility, but not by questioning his knowledge of math but rather by pointing out an absurd conclusion that would result from his point.
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Am i doing anything wrong by insisting that people follow guidelines per se the sticky post by whiplash.I am sure a lot of people would agree with me because then people would be able to avoid Gmatprep questions.Since this is a democratic forum, of course people have the right to post as they please. If that is the case then i must take it easy.
Am i doing anything wrong by insisting that people follow guidelines per se the sticky post by whiplash.I am sure a lot of people would agree with me because then people would be able to avoid Gmatprep questions.Since this is a democratic forum, of course people have the right to post as they please. If that is the case then i must take it easy.
It would be more useful if you add the answers later after some discussions.
The only two choices which appealed me were B and D.
I selected B because :
i). "arguing" vs "stating". Here the Mathematician is arguing by answering the Gambler that his conclusion is invalid. ii). The theory proposed by the gambler leads to the impossible conclusion : that he will get 3 no matter what. iii). The Mathematician never states any general principle - as suggested in D.
Thanks
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What is the difference b/n arguing and stating in this question EXACTLY? The Mathematician is arguing indeed but he is also stating.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.