
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
Sophia’s soccer team is deciding on new uniforms. The sixth-graders will choose the color of the socks (from red, blue, or white) and the seventh-graders will pick the color of the shorts (from red, blue, green, or white), without consulting each other. Assuming each color is equally likely to be chosen for each item, what is the probability that the socks will be a different color than the shorts? Express your answer as a common fraction.

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