csat-suneung 2011 Q27 (Probability and Statistics)

csat-suneung · South-Korea · csat__math-science 3 marks Combinations & Selection Combinatorial Probability
In a table tennis competition with 4 male table tennis players and 4 female table tennis players, when 2 people are randomly selected to form 4 teams, what is the probability that exactly 2 teams consist of 1 male and 1 female? [3 points]
(1) $\frac { 3 } { 7 }$
(2) $\frac { 18 } { 35 }$
(3) $\frac { 3 } { 5 }$
(4) $\frac { 24 } { 35 }$
(5) $\frac { 27 } { 35 }$
In a table tennis competition with 4 male table tennis players and 4 female table tennis players, when 2 people are randomly selected to form 4 teams, what is the probability that exactly 2 teams consist of 1 male and 1 female? [3 points]\\
(1) $\frac { 3 } { 7 }$\\
(2) $\frac { 18 } { 35 }$\\
(3) $\frac { 3 } { 5 }$\\
(4) $\frac { 24 } { 35 }$\\
(5) $\frac { 27 } { 35 }$