
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 has $12$ red candies, $8$ blue candies, and $5$ green candies. Terry picks two candies at random, then, Mary picks two of the remaining candies at random. Find 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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