
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 randomly picks three candies, followed by Mary who picks three of the remaining candies. Find the probability that Terry and Mary each pick candies of only one color, irrespective of order. Express the answer as a simplified fraction.

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