
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
There are $100$ circular parts, among which $98$ have qualified diameters, $96$ have qualified smoothness, and $94$ have both indicators qualified. One part is randomly selected from these $100$ parts.<br/>$(1)$ If this part has qualified smoothness, find the probability that it also has a qualified diameter (round to three decimal places);<br/>$(2)$ If this part has a qualified diameter, find the probability that it also has qualified smoothness (round to three decimal places).

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