
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 there is 1 red ball and 2 black balls in box A, all of the same shape and texture, and there are 2 red balls and 2 black balls in box B, also of the same shape and texture. Now, one ball is randomly drawn from each of the two boxes. The probability that exactly one of the two balls drawn is red is ______.

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