
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-14 team will choose the color of the socks (blue, red, or green), and the under-16 team will select the color of the shirts (blue, red, green, or yellow). If each possible color is equally likely to be chosen by each group and the groups do not discuss their choices with each other, what is the probability that the socks will be a different color than the shirts? Express your answer as a common fraction.

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