
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

Lajcsi and Pali are discussing lottery draws, noting that quite frequently three numbers contain the same digit. After a short calculation, Lajcsi says: "Out of 100 draws, on average, almost 7 have at least three numbers containing the digit 8." Pali responds: "I once made a similar miscalculation, and I think you rushed it and oversimplified it. The result will be lower!" - What is the truth in this matter? How could Lajcsi have calculated this?

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