In the figure, 3 of the 6 edges of a regular tetrahedron are randomly painted.
Accordingly, what is the probability that all three painted edges are on the same face?\\
A) $\frac { 1 } { 2 }$\\
B) $\frac { 1 } { 3 }$\\
C) $\frac { 1 } { 4 }$\\
D) $\frac { 1 } { 5 }$\\
E) $\frac { 1 } { 6 }$