
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
Given that person A and person B independently solve the same math problem, the probability of person A solving the problem correctly is 0.8, and the probability of person B solving the problem correctly is 0.7. Determine the probability that exactly one of them solves the problem correctly.

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