
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
A shooter has a probability of hitting the target of $0.8$ each time. Now, using the method of random simulation to estimate the probability that the shooter hits the target at least $3$ times out of $4$ shots: first, use a calculator to generate random integers between $0$ and $9$, where $0$, $1$ represent missing the target, and $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$ represent hitting the target; since there are $4$ shots, every $4$ random numbers are grouped together to represent the results of $4$ shots. After randomly simulating, $20$ groups of random numbers were generated:  
$5727$ $0293$  $7140$  $9857$  $0347$  $4373$  $8636$  $9647$  $1417$   $4698$    
$0371$  $6233$  $2616$  $8045$  $6011$  $3661$  $9597$  $7424$  $6710$   $4281$  
Based on this, estimate the probability that the shooter hits the target at least $3$ times out of $4$ shots.

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