
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 results of germination experiments for a certain type of mung beans under the same conditions are as follows:

| Number of grains per batch $n$ | $2$ | $5$ | $10$ | $50$ | $100$ | $500$ | $1000$ | $1500$ | $2000$ | $3000$ |
|--------------------------------|-----|-----|------|------|-------|-------|--------|--------|--------|--------|
| Number of germinations $m$     | $2$ | $4$ | $9$  | $44$ | $92$  | $463$ | $928$  | $1396$ | $1866$ | $2794$ |
| Germination rate $\frac{m}{n}$ (rounded to $0.001$) | $1.000$ | $0.800$ | $0.900$ | $0.880$ | $0.920$ | $0.926$ | $0.928$ | $0.931$ | $0.933$ | $0.931$ |

The estimated value of the germination probability of this type of mung beans is ______ (rounded to $0.01$).

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