
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]


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Two fair six-sided dice, labeled with point numbers 1, 2, 3, 4, 5, and 6, are rolled consecutively. Let $x$ and $y$ represent the point numbers on the top faces of the first and second dice, respectively. The probability that $\log_{2x}y = 1$ is \_\_\_\_\_\_.

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