csat-suneung 2021 Q9

csat-suneung · South-Korea · csat__math-science 3 marks Probability Definitions Finite Equally-Likely Probability Computation
There are 5 cards with letters $\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E }$ written on them and 4 cards with numbers $1,2,3,4$ written on them. When all 9 cards are arranged in a line in random order using each card once, what is the probability that the card with letter A has number cards on both sides? [3 points]
(1) $\frac { 5 } { 12 }$
(2) $\frac { 1 } { 3 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 1 } { 6 }$
(5) $\frac { 1 } { 12 }$
There are 5 cards with letters $\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E }$ written on them and 4 cards with numbers $1,2,3,4$ written on them. When all 9 cards are arranged in a line in random order using each card once, what is the probability that the card with letter A has number cards on both sides? [3 points]\\
(1) $\frac { 5 } { 12 }$\\
(2) $\frac { 1 } { 3 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 1 } { 6 }$\\
(5) $\frac { 1 } { 12 }$