Deniz randomly colored two of the following four points that are the vertices of a square red and the other two blue, and drew line segments connecting the points she colored the same color.
What is the probability that these line segments intersect?
A) $\frac { 1 } { 6 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 2 } { 3 }$
E) $\frac { 3 } { 4 }$