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# Gambler: The odds of rolling a three with a fair die is one

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Senior Manager
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Gambler: The odds of rolling a three with a fair die is one [#permalink]

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16 Dec 2010, 10:54
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Difficulty:

(N/A)

Question Stats:

40% (00:47) correct 60% (02:15) wrong based on 5 sessions

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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
[Reveal] Spoiler: OA

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I'm the Dumbest of All !!

Kudos [?]: 592 [0], given: 193

Manager
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Re: probability in CR :D [#permalink]

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16 Dec 2010, 13:26
Hi Shrive555,

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

Kudos [?]: 44 [0], given: 0

Veritas Prep GMAT Instructor
Joined: 26 Jul 2010
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Re: probability in CR :D [#permalink]

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16 Dec 2010, 16:39
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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Kudos [?]: 576 [0], given: 32

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Re: probability in CR :D [#permalink]

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17 Dec 2010, 09:02
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Last edited by Zatarra on 17 Dec 2010, 11:54, edited 1 time in total.

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Re: probability in CR :D [#permalink]

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17 Dec 2010, 10:47
1
KUDOS
mundasingh123 wrote:

Take it easy dude !!!
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Kudos [?]: 592 [1], given: 193

Verbal Forum Moderator
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Re: probability in CR :D [#permalink]

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17 Dec 2010, 11:04
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Location: United States (MI)
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Re: probability in CR :D [#permalink]

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17 Dec 2010, 11:21
1
KUDOS
mundasingh123 wrote:

Take it easy dude !!!

Kudos [?]: 71 [1], given: 40

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Re: probability in CR :D [#permalink]

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17 Dec 2010, 11:42
ulm wrote:
mundasingh123 wrote:

Take it easy dude !!!

Kudos to both
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Kudos [?]: 161 [0], given: 149

Verbal Forum Moderator
Joined: 31 Jan 2010
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Kudos [?]: 161 [0], given: 149

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Re: probability in CR :D [#permalink]

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17 Dec 2010, 11:46
ulm wrote:
mundasingh123 wrote:

Take it easy dude !!!

Am i doing anything wrong by insisting that people follow guidelines.I am sure a lot of people would agree with me. If that is the case then i quit .
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My Post Invites Discussions not answers
Try to give back something to the Forum.I want your explanations, right now !

Kudos [?]: 161 [0], given: 149

Verbal Forum Moderator
Joined: 31 Jan 2010
Posts: 487

Kudos [?]: 161 [0], given: 149

WE 1: 4 years Tech
Re: probability in CR :D [#permalink]

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17 Dec 2010, 11:49
ulm wrote:
mundasingh123 wrote:

Take it easy dude !!!

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.
_________________

My Post Invites Discussions not answers
Try to give back something to the Forum.I want your explanations, right now !

Kudos [?]: 161 [0], given: 149

Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 313

Kudos [?]: 592 [0], given: 193

Re: probability in CR :D [#permalink]

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17 Dec 2010, 12:51
mundasingh123 wrote:
ulm wrote:
mundasingh123 wrote:

Take it easy dude !!!

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.

Source: Magoosh.com
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I'm the Dumbest of All !!

Kudos [?]: 592 [0], given: 193

Senior Manager
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Schools: UC Berkley, UCLA
Re: probability in CR :D [#permalink]

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17 Dec 2010, 14:02
anshumishra wrote:
Hi Shrive555,

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

What is the difference b/n arguing and stating in this question EXACTLY? The Mathematician is arguing indeed but he is also stating.
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Kudos [?]: 117 [0], given: 66

Re: probability in CR :D   [#permalink] 17 Dec 2010, 14:02
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