
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
Keisha's basketball team is revising their uniform policy. The sixth-graders will choose the color of the socks (red, blue, or white), and the seventh-graders will choose the color of the headband (red, white, or green). Both items' colors will be chosen independently, and each color is equally likely to be chosen. What is the probability that the socks will be a different color than the headband? Express your answer as a common fraction.

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