csat-suneung 2019 Q10

csat-suneung · South-Korea · csat__math-science 3 marks Probability Definitions Probability Involving Algebraic or Number-Theoretic Conditions
A bag contains 7 marbles, each labeled with a natural number from 2 to 8. When 2 marbles are drawn simultaneously from the bag, what is the probability that the two natural numbers on the drawn marbles are coprime? [3 points]
(1) $\frac { 8 } { 21 }$
(2) $\frac { 10 } { 21 }$
(3) $\frac { 4 } { 7 }$
(4) $\frac { 2 } { 3 }$
(5) $\frac { 16 } { 21 }$
A bag contains 7 marbles, each labeled with a natural number from 2 to 8. When 2 marbles are drawn simultaneously from the bag, what is the probability that the two natural numbers on the drawn marbles are coprime? [3 points]\\
(1) $\frac { 8 } { 21 }$\\
(2) $\frac { 10 } { 21 }$\\
(3) $\frac { 4 } { 7 }$\\
(4) $\frac { 2 } { 3 }$\\
(5) $\frac { 16 } { 21 }$