
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
How many independent trials with the probability of the occurrence of an event in each trial being 0.4 are needed so that the most probable number of occurrences of the event in these trials is 25?

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