
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 company owns three stocks whose profits are independent of each other, and the probabilities of profit for these three stocks are 0.8, 0.6, and 0.5, respectively.  
Find (1) the probability that at least one of any two stocks is profitable;  
(2) the probability that at least one of the three stocks is profitable.

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