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# A area is covered by co-ordinates (0,0) (2,0) (4,0) what is

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Director
Joined: 07 Jun 2004
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A area is covered by co-ordinates (0,0) (2,0) (4,0) what is [#permalink]  17 Aug 2006, 16:52
A area is covered by co-ordinates (0,0) (2,0) (4,0)

what is the probability that a point is picked where x = y
Senior Manager
Joined: 05 Mar 2006
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[#permalink]  17 Aug 2006, 17:49
No area is covered by those coordinates. (0,0) (2,0) and (4,0) make up a line.
VP
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Re: Probability [#permalink]  17 Aug 2006, 18:49
rxs0005 wrote:
A area is covered by co-ordinates (0,0) (2,0) (4,0)

what is the probability that a point is picked where x = y

It is the origin itself 0,0 as it is X Axis
Manager
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[#permalink]  17 Aug 2006, 19:42
(0,0), (2,0) and (4,0) are 3 points on a line segment having boundaries as (0,0) and (4,0). This line segment is on the x-axis.
In this entire line segment, the only point where x=y will be at (0,0).
Hence, number of results = 1.
However, the total number of points possible on this line segment = infinite.
Hence, the probability should be 1/infinite.
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Prashrash.

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Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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[#permalink]  17 Aug 2006, 21:18
Are you sure this is the right question???
What are the choices????
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Director
Joined: 09 Oct 2005
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[#permalink]  17 Aug 2006, 22:11
prashrash wrote:
(0,0), (2,0) and (4,0) are 3 points on a line segment having boundaries as (0,0) and (4,0). This line segment is on the x-axis.
In this entire line segment, the only point where x=y will be at (0,0).
Hence, number of results = 1.
However, the total number of points possible on this line segment = infinite.
Hence, the probability should be 1/infinite.

agre same reasoning
But I think it is not GMAT format question IMHO
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[#permalink]  17 Aug 2006, 23:07
Doesn't matter if 3 points are on the line or not.
Anyway the answer will be P = (N)/(infinity),
where N=relatively small number
so P = 0
VP
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[#permalink]  17 Aug 2006, 23:37
i think he made a typo. it probably should be (0,4) to form a triangle.

If so, the probably will be the length of the line segment to the area of the triangle. It is root(2)/3, roughly about 1.142/3.
[#permalink] 17 Aug 2006, 23:37
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# A area is covered by co-ordinates (0,0) (2,0) (4,0) what is

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