Geometry

Question Analysis
This question focuses on calculating the probability of three successive dependent events with specific size and color combinations for each event.
The key is to correctly calculate the probabilities of each event while carefully considering the changes in the sample space after each draw and applying the multiplication rule for multiple dependent events accurately.

Key Concept Explanation
For multiple dependent events, the outcome of each previous draw influences the probabilities of the subsequent draws.
The multiplication rule for multiple dependent events, , is used to find the combined probability of all three events.

Step-by-Step Solution
Calculate the probability of drawing a large and red marble on the first draw:
There are 6 large and red marbles out of 18 total marbles. So, .
After removing one marble, there are 17 marbles left. There are 3 small and blue marbles, so .
After removing two marbles, there are 16 marbles left. There are 4 large and blue marbles, so

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