
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
Using computer simulation to estimate the probability of having exactly two days of rain in the next three days proceeds as follows: First, generate random integers uniformly distributed between 0 and 9, where 1, 2, 3, 4 represent rain, and 5, 6, 7, 8, 9, 0 represent no rain. Each set of three random numbers forms a group, with a total of 20 groups generated:  
907, 966, 191, 925, 271, 932, 812, 458, 569, 683, 431, 257, 393, 027, 556, 488, 730, 113, 537, 989, then the probability of rain on any given day is \_\_\_\_\_\_ , and the probability of having exactly two days of rain in three days is \_\_\_\_\_\_ .

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