csat-suneung 2008 Q27

csat-suneung · South-Korea · csat__math-humanities 4 marks Probability Definitions Finite Equally-Likely Probability Computation
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) $\frac { 1 } { 5 }$
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) $\frac { 1 } { 5 }$