Difference between revisions of "2002 AMC 12B Problems/Problem 18"
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| − | + | == Problem == | |
| + | A point <math>P</math> is randomly selected from the [[rectangle|rectangular]] region with vertices <math>(0,0),(2,0),(2,1),(0,1)</math>. What is the [[probability]] that <math>P</math> is closer to the origin than it is to the point <math>(3,1)</math>? | ||
| + | |||
| + | <math>\mathrm{(A)}\ | ||
| + | \qquad\mathrm{(B)}\ | ||
| + | \qquad\mathrm{(C)}\ | ||
| + | \qquad\mathrm{(D)}\ | ||
| + | \qquad\mathrm{(E)}\ </math> | ||
| + | == Solution == | ||
| + | {{solution}} | ||
| + | |||
| + | == See also == | ||
| + | {{AMC12 box|year=2002|ab=B|num-b=17|num-a=19}} | ||
| + | |||
| + | [[Category:Introductory Geometry Problems]] | ||
Revision as of 18:47, 16 January 2008
Problem
A point 
is randomly selected from the rectangular region with vertices 
. What is the probability that is closer to the origin than it is to the point 
?
Solution
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See also
| 2002 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 17 |
Followed by Problem 19 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
