
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 frequency of a random event occurring during an experiment is shown in the table below:

| Number of Trials | $20$ | $50$ | $100$ | $300$ | $500$ | $1000$ | $5000$ |
|------------------|------|------|-------|-------|-------|--------|--------|
| Event Frequency  | $0.300$ | $0.360$ | $0.350$ | $0.350$ | $0.352$ | $0.351$ | $0.351$ |

Estimate the probability of this event occurring through the experiment to be ______ (rounded to $0.01$).

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