
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
A student rides a bike to school. There are 3 traffic lights on the way from his home to the school. It is assumed that the events of encountering a red light at each traffic light are independent of each other, and the probability is $\frac{2}{5}$. Find:<br/>$(1)$ The probability that the student encounters only 1 red light on the way to school;<br/>$(2)$ The probability that the student encounters at least 2 red lights on the way to school.

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