
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
At a certain intersection, the traffic light cycles through red for 30 seconds, yellow for 10 seconds, and green for 40 seconds. You can proceed during the yellow light. Calculate the probability that your waiting time is no more than 10 seconds to proceed.

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