
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 building has an elevator. If there are 5 passengers on the ground floor, and the probability of each passenger getting off at the 10th floor is $\dfrac{1}{3}$, let $\xi$ represent the number of passengers getting off at the 10th floor. Then, the expected value of the random variable $\xi$, $E(\xi)=$ ______.

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