
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
During the transportation of a box containing 21 standard and 10 non-standard parts, one part was lost, though it is not known which one. A part randomly taken from the box (after transportation) turned out to be standard. Find the probability that:
a) A standard part was lost.
b) A non-standard part was lost.

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