
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
Two balls are drawn with replacement from a bag containing 12 balls numbered 1 through 12, where balls numbered 1 to 6 are red, and the rest are black. Find the probability that both balls drawn are red, and at least one of the balls has an even number.

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