
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 batch of light bulbs is produced with the following distribution: 20% by the first factory, 30% by the second factory, and 50% by the third factory. The probabilities of producing defective light bulbs are: \( q_{1}=0,01 \) for the first factory, \( q_{2}=0,005 \) for the second factory, and \( q_{3}=0,006 \) for the third factory. Find the probability that a randomly selected light bulb from the batch is standard (non-defective).

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