
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
Three lathes, A, B, and C, produce 350, 700, and 1050 parts, respectively. By using stratified sampling, 6 parts are randomly selected for inspection.
(Ⅰ) Determine the number of parts extracted from lathes A, B, and C.
(Ⅱ) From the 6 selected parts, 2 parts are randomly chosen. Knowing that none of the two parts is produced by lathe A, what is the probability that at least one part is produced by lathe B?

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