
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
King Qi and Tian Ji are competing in a horse race. Tian Ji's top horse is better than King Qi's middle horse, worse than King Qi's top horse, Tian Ji's middle horse is better than King Qi's bottom horse, worse than King Qi's middle horse, and Tian Ji's bottom horse is worse than King Qi's bottom horse. Now, randomly select one horse from each side for a race, then the probability of Tian Ji's horse winning is ______.

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