
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 the probability that a certain household appliance can be used for three years is 0.8, and the probability that it can be used for four years is 0.4, determine the conditional probability that it can be used for four years given that it has already been used for three years.

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