Six students $\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E } , \mathrm { F }$ are to be randomly paired into 3 groups of 2. What is the probability that A and B are in the same group and C and D are in different groups? [4 points]\\
(1) $\frac { 1 } { 15 }$\\
(2) $\frac { 1 } { 10 }$\\
(3) $\frac { 2 } { 15 }$\\
(4) $\frac { 1 } { 6 }$\\
(5) $\frac { 1 } { 5 }$