Probability — practice question

Tim has two bags of marbles, $A$ and $B$. Bag $A$ includes $8$ white, $4$ red and $3$ yellow marbles. Bag $B$ includes $6$ white, $7$ red and $2$ yellow marbles. Tim also owns a fair ordinary $6$-sided die. He throws the die. If the result is a $1$ or $2$, he selects two marbles at random from bag $A$, without replacement. If the result is a $3$, $4$, $5$ or $6$, he selects two marbles at random from bag $B$, without replacement.