Geometry

Question Analysis
This question involves calculating the probability of three sequential dependent events with specified colors.
The main focus is applying the multiplication rule for dependent events while adjusting the sample space after each draw.

Key Concept Explanation
Dependent events mean each draw alters the remaining marbles, affecting subsequent probabilities.
The multiplication rule states that the probability of consecutive dependent events is the product of each event's probability, given the prior events occurred.

Step-by-Step Solution
First draw (red):Total marbles = 8, red marbles = 3. .
Second draw (green, given red was drawn): Remaining marbles = 7, green marbles = 2.
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Third draw (blue, given red and green were drawn): Remaining marbles = 6, blue marbles = 2.

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