
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
Carol draws two balls, and then Claudia draws two balls, and finally, Cheryl takes the remaining two balls, by what is the probability that the two balls Cheryl takes are of the same color?

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