csat-suneung· South-Korea· csat__math-science3 marks
Bag A contains 5 cards with the numbers $1,2,3,4,5$ written on them, one number per card, and bag B contains 5 cards with the numbers $6,7,8,9,10$ written on them, one number per card. One card is randomly drawn from each of the two bags A and B. When the sum of the two numbers on the drawn cards is odd, what is the probability that the number on the card drawn from bag A is even? [3 points] (1) $\frac { 5 } { 13 }$ (2) $\frac { 4 } { 13 }$ (3) $\frac { 3 } { 13 }$ (4) $\frac { 2 } { 13 }$ (5) $\frac { 1 } { 13 }$
Bag A contains 5 cards with the numbers $1,2,3,4,5$ written on them, one number per card, and bag B contains 5 cards with the numbers $6,7,8,9,10$ written on them, one number per card.\\
One card is randomly drawn from each of the two bags A and B. When the sum of the two numbers on the drawn cards is odd, what is the probability that the number on the card drawn from bag A is even? [3 points]\\
(1) $\frac { 5 } { 13 }$\\
(2) $\frac { 4 } { 13 }$\\
(3) $\frac { 3 } { 13 }$\\
(4) $\frac { 2 } { 13 }$\\
(5) $\frac { 1 } { 13 }$