
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, 3 green marbles, and 3 yellow marbles. Carol takes 3 marbles from the box at random; then Claudia takes another 3 marbles at random; lastly, Cheryl takes the remaining 3 marbles, calculate the probability that Cheryl gets 3 marbles of the same color.

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