
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 students of the comprehensive practice group conducted the following experiment: they randomly threw a thumbtack upwards and recorded the frequency and frequency table of the thumbtack touching the ground after landing:<br/>

| Number of throws | $40$ | $120$ | $320$ | $480$ | $720$ | $800$ | $920$ | $1000$ |
|------------------|------|-------|-------|-------|-------|-------|-------|--------|
| Frequency of touching ground | $20$ | $50$ | $146$ | $219$ | $328$ | $366$ | $421$ | $463$ |
| Frequency of touching ground | $0.500$ | $0.417$ | $0.456$ | $0.456$ | $0.456$ | $0.458$ | $0.458$ | $0.463$ |

Based on the table above, the estimated probability of a thumbtack touching the ground when thrown upwards once is approximately ______$. (Round to $0.01$)

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