
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
Given that Box A contains 3 red, 3 black, and 3 white balls, and Box B contains 2 yellow, 2 black, and 2 white balls (all balls in both boxes are identical except for their color), what is the probability of drawing two balls of different colors, one from each box? (Express the result as a simplified fraction.)

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