
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
Use the method of random simulation experiments to estimate the probability of having exactly two days of rain in three days: First, use a calculator to generate random integers between \\(0\\) and \\(9\\), with \\(1\\), \\(2\\), \\(3\\), \\(4\\) representing rain, and \\(5\\), \\(6\\), \\(7\\), \\(8\\), \\(9\\), \\(0\\) representing no rain; then, take every three random numbers as a group, representing the rain situation for these three days. Through random simulation experiments, the following \\(20\\) groups of random numbers were generated: Based on this, estimate the probability of having exactly two days of rain in these three days to be approximately  
\\(907\\)    \\(966\\)    \\(191\\)    \\(925\\)    \\(271\\)    \\(932\\)    \\(812\\)    \\(458\\)    \\(569\\)    \\(683\\)  
\\(431\\)    \\(257\\)    \\(393\\)    \\(027\\)    \\(556\\)    \\(488\\)    \\(730\\)    \\(113\\)    \\(537\\)    \\(989\\)

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