
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 out of three independently operating components of a computing device have failed. Find the probability that the first and second components have failed, given that the failure probabilities of the first, second, and third components are 0.2, 0.4, and 0.3, respectively.

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