
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 the probability of rain on each of the next three days is 40%. Using the method of random simulation for the experiment, use 1, 2, 3, 4 to represent rain, and 5, 6, 7, 8, 9, 0 to represent no rain. Utilize the random function in the calculator to generate 20 sets of random integers between 0 and 9 as follows:

    907  966  191  925  271  932  812  458  569  683  

    431  257  393  027  556  488  730  113  537  989  

    Based on the data from the random simulation above, the probability that exactly two days out of three will have rain is approximately \_\_\_\_\_\_.

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