Bag A contains 5 cards with the numbers $1,2,3,4,5$ written on them, and Bag B contains 6 cards with the numbers $1,2,3,4,5,6$ written on them. A die is rolled once. If the result is a multiple of 3, a card is randomly drawn from Bag A; otherwise, a card is randomly drawn from Bag B. Given that the number on the card drawn from the bag is even, what is the probability that the card was drawn from Bag A? [3 points] (1) $\frac { 1 } { 5 }$ (2) $\frac { 2 } { 9 }$ (3) $\frac { 1 } { 4 }$ (4) $\frac { 2 } { 7 }$ (5) $\frac { 1 } { 3 }$
Bag A contains 5 cards with the numbers $1,2,3,4,5$ written on them, and Bag B contains 6 cards with the numbers $1,2,3,4,5,6$ written on them. A die is rolled once. If the result is a multiple of 3, a card is randomly drawn from Bag A; otherwise, a card is randomly drawn from Bag B. Given that the number on the card drawn from the bag is even, what is the probability that the card was drawn from Bag A? [3 points]\\
(1) $\frac { 1 } { 5 }$\\
(2) $\frac { 2 } { 9 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 2 } { 7 }$\\
(5) $\frac { 1 } { 3 }$