
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, B, and C participate in a certain test. Their probabilities of passing the test are 0.8, 0.6, and 0.5, respectively. Calculate the probability that all three pass the test, and the probability that at least one of them passes the test.

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