Four identical matches are taken, each with only one flammable end. These matches are randomly arranged along all sides of a square whose side length is the same as the length of one match, with the ends touching each other.
What is the probability that there are no flammable ends in contact with each other in this arrangement?\\
A) $\frac { 1 } { 4 }$\\
B) $\frac { 1 } { 8 }$\\
C) $\frac { 3 } { 8 }$\\
D) $\frac { 1 } { 16 }$\\
E) $\frac { 3 } { 16 }$