
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 jar contains $12$ red candies, $12$ blue candies, and $6$ green candies. Terry picks three candies at random, then Mary picks three of the remaining candies at random. Calculate the probability that they get the same color combination, irrespective of order.

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