
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 number is called an "optimal number" if it contains an even number of the digit 8 (e.g., 188, 38888, etc.); otherwise, it is called a "non-optimal number." From the set of all four-digit numbers formed by the digits 0, 1, 2, ..., 9, randomly select 10 numbers. Let the random variable X denote the number of "optimal numbers" selected. Calculate E(X).

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