Final answer:
The probability of drawing two blue marbles from the bag is 0.0714, or approximately 7.1%.
Step-by-step explanation:
To find the probability of drawing two blue marbles, we first need to find the total number of marbles in the bag.
The bag contains 7 red marbles, 2 blue marbles, and 5 green marbles, so the total number of marbles is 14.
Next, we need to find the number of ways to draw 2 blue marbles from the bag.
There are 2 blue marbles in the bag, so the number of ways to draw 2 blue marbles is C(2, 2) = 1.
Finally, we can calculate the probability by dividing the number of ways to draw 2 blue marbles by the total number of marbles in the bag:
Probability = (number of ways to draw 2 blue marbles) / (total number of marbles) = 1 / 14 = 0.0714.