
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 weather forecast says that in the next three days, the probability of rain each day is $0.4$. Someone used a computer to generate random integers between $0$ and $9$, using $1, 2, 3, 4$ to represent rain, and $5, 6, 7, 8, 9, 0$ to represent no rain. They generated $3$ random numbers as a group, producing $20$ groups of random numbers as follows: $027556488730113537989907966191925271932812458569683431257393$. Based on this, the probability of having at least two rainy days in these three days is approximately \_\_\_\_\_\_

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