Difference between revisions of "2006 UNCO Math Contest II Problems/Problem 1"
(Created page with "== Problem == If a dart is thrown at the <math>6\times 6</math> target, what is the probability that it will hit the shaded area? <asy> filldraw((2,2)--(4,6)--(6,6)--(6,4)--cyc...") |
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==Solution== | ==Solution== | ||
| + | To solve this we start by breaking it up into it's four shaded areas. | ||
==See Also== | ==See Also== | ||
Revision as of 14:57, 23 December 2014
Problem
If a dart is thrown at the 
target, what is the probability that it will hit the shaded area?
![[asy] filldraw((2,2)--(4,6)--(6,6)--(6,4)--cycle,blue); filldraw((2,2)--(6,2)--(6,1)--cycle,blue); filldraw((2,2)--(0,0)--(0,1)--cycle,blue); filldraw((2,2)--(0,4)--(0,6)--cycle,blue); for(int i=0;i<7;++i){ draw((0,i)--(6,i),black); draw((i,0)--(i,6),black); } dot((2,2));dot((0,4));dot((0,6));dot((4,6));dot((6,6)); dot((6,4));dot((6,2));dot((6,1));dot((0,0));dot((0,1)); [/asy]](http://latex.artofproblemsolving.com/d/f/1/df1c252b085c82d7d67511a0e58cc24d9595ae8a.png)
Solution
To solve this we start by breaking it up into it's four shaded areas.
See Also
| 2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
