
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
There are four light bulbs of different colors: red, yellow, blue, and green, one bulb of each color. If we select three of them to install at the vertices of triangle \( ABC \), then the probability of installing the red light at vertex \( A \) is ______.

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