Final answer:
The question on the probability of selecting marbles contains a typographical error, making it unclear. Normally, probabilities are treated as fractions and not whole numbers, which conflicts with the question statement. A similar probability query would use product rules for independent events and counting principles.
Step-by-step explanation:
The subject of this question is probability within the field of Mathematics. The student has asked about the probability of selecting marbles of different colors from a bag under certain conditions.
However, the question contains a logical inconsistency as it indicates probabilities as whole numbers rather than fractions or percentages between 0 and 1. This seems to be a typographical error, and the probabilities should presumably be represented as fractions (e.g., 1/5 for a green marble).
To solve a similar, correctly posed problem, you would typically use the formula for calculating probabilities for independent events.
If P(Green) represents the probability of drawing a green marble and P(Blue) represents the probability of drawing a blue marble, and if the draws are independent (the marble is replaced after the draw), then the combined probability of two independent events is the product of their individual probabilities, or P(Green and Blue) = P(Green) × P(Blue). The question also requires counting the number of blue marbles, which can be found by understanding the total number of marbles and the stated probability of drawing a blue marble.