
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 communication team has two sets of equipment, and communications can be carried out as long as one set of equipment is working properly. Each set of equipment consists of 3 components, and the set will malfunction if any one of those components fails. If the probability that each component does not fail during a certain time period is $p$, calculate the probability that during this time period:  
(1) Exactly one set of equipment is working properly;  
(2) Communication can be carried out.

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