Geometry

Question Analysis
This question involves calculating the probability of two dependent events.
The main focus is on understanding how the first draw affects the sample space for the second draw and correctly applying the multiplication rule for dependent events.

Key Concept Explanation
Dependent events are those where the outcome of the first event impacts the probability of the second event.
In the case of probability without replacement, after the first marble is drawn, the total number of marbles and the number of marbles of each color change, which in turn changes the probabilities for the second draw.

Step-by-Step Solution
Calculate the probability of drawing a red marble on the first draw:
There are 6 red marbles out of 16 total marbles, so .
Calculate the probability of drawing a blue marble on the second draw given that a red marble was drawn on the first draw:
After removing one red marble, there are 15 marbles left, and 10 of them are blue. So