
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
Two cities, A and B, are located in the lower reaches of the Yangtze River. According to more than a hundred years of meteorological records, it is known that the proportion of rainy days in a year in city A is 20%, in city B is 18%, and the proportion of rainy days in both places is 12%. Let $P(A)=0.20$, $P(B)=0.18$, $P(AB)=0.12$, then $P(A|B)=$\_\_\_\_\_\_\_\_$, $P(B|A)=$\_\_\_\_\_\_\_\_.

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