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Magoosh GMAT Instructor
Joined: 28 Dec 2011
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In the x-y plane, the square region bound by (0,0), (10, 0) [#permalink]
 21 Nov 2012, 16:34
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
In the x-y plane, the square region bound by (0,0), (10, 0), (10, 10) and (0, 10) is isolated. A boundary point is any of the 40 points on the edge of this region for which both coordinates are integers; boundary points are indicated as purple in the diagram. Square J, bound by the points (4, 4), (4, 6), (6, 6), and (6, 4), are shown in green. If two boundary points are selected at random, and the line segment connecting these two is drawn, what is the probability that this line segment touches or passes through Square J?Attachment: 
10 x 10 region with Square J.JPG [ 31.62 KiB | Viewed 1020 times ]
This is a very challenging question. Answer will follow after some discussion ....
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Mike McGarry
Magoosh Test Prep
Last edited by mikemcgarry on 26 Nov 2012, 11:43, edited 2 times in total.
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Director
Status: Disappointed devil..
Joined: 15 Sep 2012
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Location: India
Concentration: Strategy, General Management
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Re: hard probability problem, lines in the x-y plane [#permalink]
21 Nov 2012, 18:23
mikemcgarry wrote: In the x-y plane, the square region bound by (0,0), (10, 0), (10, 10) and (0, 10) is isolated. A boundary point is any of the 36 points on the edge of this region for which both coordinates are integers; boundary points are indicated as purple in the diagram. Square J, bound by the points (4, 4), (4, 6), (6, 6), and (6, 4), are shown in green. If two boundary points are selected at random, and the line segment connecting these two is drawn, what is the probability that this line segment touches or passes through Square J?Attachment: 10 x 10 region with Square J.JPG This is a very challenging question. Answer will follow after some discussion .... Where are the options? My ans is 1/25. Can explain once the OA is provided.
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Director
Joined: 02 Jul 2012
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GMAT 1: 740 Q49 V42
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Re: hard probability problem, lines in the x-y plane [#permalink]
21 Nov 2012, 22:37
I am getting 1/63. Not very sure though. Will explain if correct. Edit. In view of Vips's comment below., if there are 40 points... My answer would be 8/39 Kudos Please... If my post helped.
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Last edited by MacFauz on 22 Nov 2012, 04:34, edited 2 times in total.
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Director
Status: Disappointed devil..
Joined: 15 Sep 2012
Posts: 592
Location: India
Concentration: Strategy, General Management
WE: Information Technology (Computer Software)
Followers: 20
Kudos [?]:
225
[0], given: 23
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Re: hard probability problem, lines in the x-y plane [#permalink]
21 Nov 2012, 23:42
mikemcgarry wrote: In the x-y plane, the square region bound by (0,0), (10, 0), (10, 10) and (0, 10) is isolated. A boundary point is any of the 36 points on the edge of this region for which both coordinates are integers; boundary points are indicated as purple in the diagram. Square J, bound by the points (4, 4), (4, 6), (6, 6), and (6, 4), are shown in green. If two boundary points are selected at random, and the line segment connecting these two is drawn, what is the probability that this line segment touches or passes through Square J?Attachment: 10 x 10 region with Square J.JPG This is a very challenging question. Answer will follow after some discussion .... talking about flawed questions.. isnt this question flawed? There are 40 boundry points as per the picture, but question mentions 36.
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Re: In the x-y plane, the square region bound by (0,0), (10, 0) [#permalink]
24 Nov 2012, 15:21
With the 36 points, I'm getting 1/35. Not sure though!
I will explain after the OA is posted. I dont want to confuse anyone if it is incorrect.
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Re: In the x-y plane, the square region bound by (0,0), (10, 0) [#permalink]
25 Nov 2012, 10:30
1
This post received
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My ans 2/35.. Please provide the correct answer.Will provide explanation if correct... 
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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 840
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Kudos [?]:
585
[0], given: 14
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Re: hard probability problem, lines in the x-y plane [#permalink]
26 Nov 2012, 11:53
Vips0000 wrote: talking about flawed questions.. isn't this question flawed? There are 40 boundary points as per the picture, but question mentions 36. Yes, I corrected that in the question. I would submit that there's a difference between a simple oversight that can be noticed by anyone and rectified in seconds, and a question that fails to specify the fundamental parameters of the very situation about which it asks. The OA I get for this question is \frac{32}{195}. Any confirmations? I will soon post a complete solution. Mike
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Mike McGarry
Magoosh Test Prep
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Re: In the x-y plane, the square region bound by (0,0), (10, 0) [#permalink]
26 Dec 2012, 05:32
Mike, My mind's boggled. Need the OE....XD
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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 840
Followers: 214
Kudos [?]:
585
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Re: In the x-y plane, the square region bound by (0,0), (10, 0) [#permalink]
26 Dec 2012, 11:40
eaakbari wrote: Mike,
My mind's boggled. Need the OE....XD Dear eaakbari, I was waiting for someone to ask for the OE before posting it. Here it is. Mike
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Mike McGarry
Magoosh Test Prep
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Re: In the x-y plane, the square region bound by (0,0), (10, 0)
[#permalink]
26 Dec 2012, 11:40
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