
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 to estimate the probability that it will rain on exactly two of the three days. Using a calculator, generate random integer values between 0 and 9, where 1, 2, 3, and 4 represent raining days and 5, 6, 7, 8, 9, and 0 signify non-raining days. Then, group every three random numbers to represent the weather for these three days. After conducting the random simulation, the following 20 groups of random numbers were produced:  
907    966    191    925    271    932    812    458    569    683  
431    257    393    027    556    488    730    113    537    989  
Estimate the probability that exactly two days out of three will have rain.

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