
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 certain shooter's shooting scores under the same conditions are recorded as follows:

| Number of Shots | $20$ | $80$ | $100$ | $200$ | $400$ | $800$ | $1000$ |
|-----------------|------|------|-------|-------|-------|-------|--------|
| Hits above 9 rings | $18$ | $68$ | $82$ | $166$ | $330$ | $664$ | $832$ |
| Frequency of hits above 9 rings | $0.90$ | $0.85$ | $0.82$ | $0.83$ | $0.825$ | $0.83$ | $0.832$ |

Based on the stability of the frequency, estimate the probability that this athlete will hit "above 9 rings" in one shot to be approximately _____. (Round to $0.01$)

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