
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 fair six-sided dice, each with faces numbered from 1 to 6, are tossed. What is the probability that the sum of the numbers on the top faces is even and both dice show the same number?

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