
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
In the life insurance industry, it is important to pay attention to the mortality rates of policyholders of certain ages. According to random sampling statistics, the probability that a policyholder in a certain city will live to be 75 years old is 0.60. Determine:
(1) The probability that all three policyholders live to be 75 years old;
(2) The probability that only one out of three policyholders lives to be 75 years old;
(3) The probability that at least one out of three policyholders lives to be 75 years old.

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