
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
A chip manufacturing factory has three production lines A, B, and C, all producing chips of $8nm$ specifications. There are a total of 25 chips of this specification, with 5 chips from line A, 10 chips from line B, and 10 chips from line C. If the quality rates of chips produced by lines A, B, and C are 0.8, 0.8, and 0.7 respectively, calculate the probability that a randomly selected chip from these 25 chips is of high quality.

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