
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
The device consists of two elements that operate independently. The probability of the first element failing is 0.2, and the probability of the second element failing is 0.3. Find the probability that: a) both elements will fail; b) both elements will work.

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