
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 dice (each side labeled with the numbers 1, 2, 3, 4, 5, 6 on a cube) are thrown one after the other. If the numbers facing up after the dice land are $a$ and $b$, respectively, then the probability of the event that satisfies $$\log_{a} \frac {b}{2}=1$$ is \_\_\_\_\_\_.

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