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Each of the points of a cartesian plane are painted a different color x. What is the probablity that two points 10 miles apart are the same color?

2006-10-02 05:45:44 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

No, I mean each point is some different color, where you have x to choose from; the colors might be red, green and blue if x=3, for example.

2006-10-02 05:51:09 · update #1

8 answers

That far apart the choice of colors would be independent. So the value of one would not depend on the other. That means the chance they are the same is the chance the second is the same as the first.

The color of the first is fixed. The chance the second matches, is 1 over the number of colors.

For x colors, the chance is 1/x. In your example of red, green, blue, the chance is 1/3.

2006-10-02 05:55:31 · answer #1 · answered by Puzzling 7 · 0 0

A plane has an infinite number of points, so the first part of the problem already makes no sense unless by "each point" you mean each point on an integer grid or something. Furthermore, "10 miles" apart has no meaning unless your axes have units.

2006-10-02 12:53:27 · answer #2 · answered by kslnet 3 · 1 0

0. If every point is painted a different color then no two points will be the same color.

2006-10-02 12:48:08 · answer #3 · answered by Anonymous · 1 0

0, it says each point is a different color.

2006-10-02 12:47:31 · answer #4 · answered by Annette J 4 · 3 0

zero, nada. each point a different color

2006-10-02 12:49:29 · answer #5 · answered by Dr. J. 6 · 2 0

I agree with Anette.

2006-10-02 12:54:25 · answer #6 · answered by Anonymous · 0 0

weird, good luck with the rest of your homework!




(happy Birthday to you) (r u writing that on every question?)

2006-10-02 12:48:05 · answer #7 · answered by CurleyToo 3 · 0 1

math is bizaar. so you want help with a bizaar bizaar question.
i don't think you gave us enough information to solve your problem.

2006-10-02 12:50:46 · answer #8 · answered by Anonymous · 0 1

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