Geometry

Question Analysis
This question involves applying the concept of independent events in a marble - drawing context with replacement.
The main focus is on calculating the individual probabilities of each draw and then using the multiplication rule for independent events.

Key Concept Explanation
When marbles are drawn with replacement, the probability of drawing a particular color marble remains the same for each draw.
These are independent events, and for two independent events A and B, the probability of both A and B occurring is given by P(A and B) = P(A) × P(B).

Step-by-Step Solution
The total number of marbles in the bag is 4 + 3 + 2 = 9.
The probability of getting a green marble on the first draw, P(Green1) = 4/9.
Since the marble is replaced, the probability of getting a blue marble on the second draw, P(Blue2) = 2/9.
The probability of getting a green marble ...