
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 20 products among which 5 are defective, and the rest are up to standard. Two products are drawn one after the other without replacement. Calculate the probability of:
(1) Drawing a defective product on the first draw;
(2) Drawing a defective product on both the first and the second draws;
(3) Drawing a defective product on the second draw, given that the first product drawn was defective.

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