
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
In a box, there are $5$ electronic products, including $3$ first-class products and $2$ second-class products. One product is drawn each time without replacement. If three products are drawn, the probability of obtaining a first-class product only on the third draw is ____; if products are replaced after being drawn, and a total of $10$ draws are made, the average number of first-class products obtained is ____.

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