Answer:
The probability that Tara will select a blue marble from each bag is
.
Explanation:
Since there are 15 marbles in the first bag and 9 marbles in the second bag, that means there are a total of 135 different combinations of one marble from each bag. Since there are 5 blue marbles in the first bag and 2 blue marbles in the second bag, there are 10 different possible combinations of one blue marble from each bag. The probability that Tara will select a blue marble from each bag can be represented as
or
.