
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
Assume that the probability of a certain athlete hitting the bullseye with a dart is $40\%$. Now, the probability that the athlete hits the bullseye exactly once in two dart throws is estimated using a random simulation method: first, a random integer value between $0$ and $9$ is generated by a calculator, where $1$, $2$, $3$, and $4$ represent hitting the bullseye, and $5$, $6$, $7$, $8$, $9$, $0$ represent missing the bullseye. Then, every two random numbers represent the results of two throws. A total of $20$ sets of random numbers were generated in the random simulation:<br/>

| $93$ | $28$ | $12$ | $45$ | $85$ | $69$ | $68$ | $34$ | $31$ | $25$ |
|------|------|------|------|------|------|------|------|------|------|
| $73$ | $93$ | $02$ | $75$ | $56$ | $48$ | $87$ | $30$ | $11$ | $35$ |

Based on this estimation, the probability that the athlete hits the bullseye exactly once in two dart throws is ______.

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