
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
An opaque bag contains several red and white balls, all of which are identical except for their color. After mixing the balls in the bag, one ball is randomly drawn, the color is noted, the ball is returned to the bag, and the process is repeated. The following data is obtained:<br>

| Number of draws $n$ | $200$ | $300$ | $400$ | $500$ | $1000$ | $1500$ | $2000$ |
|----------------------|-------|-------|-------|-------|--------|--------|--------|
| Number of white balls drawn $m$ | $116$ | $192$ | $232$ | $298$ | $590$ | $906$ | $1202$ |
| Frequency of drawing white balls $\frac{m}{n}$ | $0.580$ | $0.640$ | $0.580$ | $0.596$ | $0.590$ | $0.604$ | $0.601$ |

Based on the data above, estimate the probability of drawing a white ball to be approximately ______ (rounded to $0.01$).

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