
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 survey shows that 65% of all residents are satisfied with the council's services. A researcher selects four residents at random on separate occasions. Calculate the probability that exactly two of these four residents express satisfaction with the council's services.

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