
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 person poses a question, and if person A answers first, the probability of answering correctly is 0.4. If person A answers incorrectly, then person B will answer, with a probability of answering correctly being 0.5. Calculate the probability that person B correctly answers the question.

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