
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
Mount Song, a famous tourist destination, has a probability of $0.6$ of raining for four consecutive days after June $30$. A computer simulation experiment was conducted to generate random integers between $0$ and $9$. Assuming that $0$, $1$, $2$, $3$, $4$, $5$ represent rainy days, and $6$, $7$, $8$, $9$ represent non-rainy days, the following $20$ sets of random numbers were generated:<br/>$9533 9522 0018 7472 0018 3879 5869 3181 7890 2692$<br/>$8280 8425 3990 8460 7980 2436 5987 3882 0753 8935$<br/>Based on this, the approximate value of the probability of having exactly three rainy days out of the four days is ______.

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