
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A box contains 3 red marbles, 2 green marbles, and 3 blue marbles. David takes 2 marbles from the box at random; then Dana takes 2 of the remaining marbles at random; and then Derek takes the last 3 marbles. What is the probability that Derek gets at least 2 marbles of the same color?
A) $\frac{1}{105}$ 
B) $\frac{17}{210}$ 
C) $\frac{19}{210}$ 
D) $\frac{1}{5}$ 
E) $\frac{11}{105}$

Present the answer in LaTex format: \boxed{Your answer}
user