MathDB

The two wheels shown below are spun and the two resulting numbers are added. The probability that the sum is even is
[asy] draw(circle((0,0),3)); draw(circle((7,0),3)); draw((0,0)--(3,0)); draw((0,-3)--(0,3)); draw((7,3)--(7,0)--(7+3*sqrt(3)/2,-3/2)); draw((7,0)--(7-3*sqrt(3)/2,-3/2)); draw((0,5)--(0,3.5)--(-0.5,4)); draw((0,3.5)--(0.5,4)); draw((7,5)--(7,3.5)--(6.5,4)); draw((7,3.5)--(7.5,4)); label("

3

",(-0.75,0),W); label("

1

",(0.75,0.75),NE); label("

2

",(0.75,-0.75),SE); label("

6

",(6,0.5),NNW); label("

5

",(7,-1),S); label("

4

",(8,0.5),NNE); [/asy]

\text{(A)}\ \dfrac{1}{6} \qquad \text{(B)}\ \dfrac{1}{4} \qquad \text{(C)}\ \dfrac{1}{3} \qquad \text{(D)}\ \dfrac{5}{12} \qquad \text{(E)}\ \dfrac{4}{9}

Problem Statement