
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, Jia, commutes from school to home by car, passing through $3$ traffic posts. Assume that the events of encountering a red light at each traffic post are independent of each other, with a probability of $\dfrac{2}{5}$. Calculate the expected number of times Jia encounters a red light on the way home.

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