Geometry

Question Analysis
This question involves calculating the probability of two dependent events occurring in succession without replacement.
The main focus is on understanding how the removal of one marble affects the probability of drawing another marble of the same color.

Key Concept Explanation
Dependent events are events where the outcome of the first event affects the outcome of the second event.
In the case of probability without replacement, the total number of possible outcomes and the number of favorable outcomes change after the first draw.

Step-by-Step Solution
Calculate the probability of drawing a red marble on the first draw: There are a total of marbles, and 5 of them are red.
So the probability .
Calculate the probability of drawing a red marble on the second draw given that a red marble was drawn on the first draw: Since one red marble has already been removed, there are now 9 marbles left, and 4 of them are red.
So the probability