
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 certain virus has broken out, and the entire province is providing support. From a certain department in a hospital in our city, $4$ male doctors (including one chief physician) and $5$ female doctors (including one chief physician) need to be selected to send $3$ male doctors and $2$ female doctors. The probability that one chief physician is selected is ______.

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