
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
On December 8, 2022, the Joint Prevention and Control Mechanism of the State Council held a press conference to introduce further optimization of the implementation of epidemic prevention and control measures. It was emphasized that individuals are responsible for their own health. Xiao Hua prepared some medicines. There are three types of fever-reducing medicines and five types of cough-suppressing medicines to choose from. Xiao Hua randomly selects two types. Let event $A$ represent the selection of at least one fever-reducing medicine, and event $B$ represent the selection of exactly one cough-suppressing medicine. Find $P(A)=$____ and $P(B|A)=$____.

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