
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
Two automatic machines produce identical parts. It is known that the productivity of the first machine is twice that of the second machine, and that the probability of producing a high-quality part by the first machine is 0.9, while for the second machine it is 0.81. The unsorted parts produced during the shift are stored in a warehouse. Find the probability that a randomly selected part is of high quality.

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