Difference between revisions of "2009 AMC 8 Problems/Problem 12"
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The two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime? | The two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime? | ||
| − | <asy>unitsize(30); | + | <asy> |
| + | unitsize(30); | ||
draw(unitcircle); | draw(unitcircle); | ||
draw((0,0)--(0,-1)); | draw((0,0)--(0,-1)); | ||
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label("$1$",(0,.5)); | label("$1$",(0,.5)); | ||
label("$3$",((cos(pi/6))/2,(-sin(pi/6))/2)); | label("$3$",((cos(pi/6))/2,(-sin(pi/6))/2)); | ||
| − | label("$5 | + | label("$5$",(-(cos(pi/6))/2,(-sin(pi/6))/2));</asy> |
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<math> \textbf{(A)}\ \frac {1}{2} \qquad \textbf{(B)}\ \frac {2}{3} \qquad \textbf{(C)}\ \frac {3}{4} \qquad \textbf{(D)}\ \frac {7}{9} \qquad \textbf{(E)}\ \frac {5}{6}</math> | <math> \textbf{(A)}\ \frac {1}{2} \qquad \textbf{(B)}\ \frac {2}{3} \qquad \textbf{(C)}\ \frac {3}{4} \qquad \textbf{(D)}\ \frac {7}{9} \qquad \textbf{(E)}\ \frac {5}{6}</math> | ||
Revision as of 13:25, 14 August 2011
Problem
The two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime?
![[asy] unitsize(30); draw(unitcircle); draw((0,0)--(0,-1)); draw((0,0)--(cos(pi/6),sin(pi/6))); draw((0,0)--(-cos(pi/6),sin(pi/6))); label("$1$",(0,.5)); label("$3$",((cos(pi/6))/2,(-sin(pi/6))/2)); label("$5$",(-(cos(pi/6))/2,(-sin(pi/6))/2));[/asy]](http://latex.artofproblemsolving.com/e/f/2/ef23ec00d65a4669943af5033ead69ca82d03505.png)
