
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
The probability of an event occurring in each of the independent trials is 0.8. How many trials need to be conducted in order to expect the event to occur at least 75 times with a probability of 0.9?

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