
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
During an exam, the probability that person A independently solves a particular problem is $\frac{1}{3}$. The probabilities that persons B and C independently solve the same problem are $\frac{1}{4}$ and $\frac{1}{5}$, respectively. Assume that their problem-solving processes are mutually independent. Calculate the probability that at least one person solves the problem during the exam.

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