
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
Given that among 7 items, 4 are good and 3 are defective:
1. Calculate the probability that, when randomly selecting 3 items from these 7, the number of good items is not less than the number of defective items.
2. When randomly selecting 5 items from these 7, if the number of defective items is denoted as $\xi$, find the expected value of $\xi$.

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