
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 soccer team is deciding on a new uniform. The under-12 players will choose the color of the socks (red or blue) and the under-14 players will choose the color of the shirt (red, blue, or green). Each group selects independently and each color choice is equally likely. What is the probability that the socks will be a different color than the shirt? Express your answer as a common fraction.

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