
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
It is known that Xiao Li has a probability of hitting the bullseye of $40\%$ each time he shoots. Now, the method of random simulation is used to estimate the probability that Xiao Li hits the bullseye exactly twice in three shots. First, a calculator is used to generate random integers between $0$ and $9$, with $0$, $1$, $2$, $3$ representing hitting the bullseye, and $4$, $5$, $6$, $7$, $8$, $9$ representing missing the bullseye. Then, every three random numbers are grouped together to represent the results of three shots. After random simulation, the following $20$ groups of random numbers were generated:

$321$　$421$　$191$　$925$　$271$　$932$　$800$　$478$　$589$　$663$

$531$　$297$　$396$　$021$　$546$　$388$　$230$　$113$　$507$　$965$

Based on this, estimate the probability that Xiao Li hits the bullseye exactly twice in three shots.

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