
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 random simulation method is used to estimate the probability of an athlete hitting a target in a shooting event. A calculator generates random integers between 0 and 9. The numbers 0, 1, 2, and 3 represent a miss, while 4, 5, 6, 7, 8, and 9 represent a hit. Each group of 4 random numbers corresponds to the results of 4 shots. After random simulation, 20 groups of the following random numbers are generated:
7527, 0293, 7140, 9857, 0347, 4373, 8636, 6947, 1417, 4698,
0371, 6233, 2616, 8045, 6011, 3661, 9597, 7424, 7610, 4281
Estimate the probability that the athlete hits the target at least three times in four shots: $\_\_\_\_\_\_$.

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