
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
During the summer vacation of 2022, a community has 8 college students (5 males and 3 females), and 3 students are selected to participate in volunteer services.  
$(1)$ Let the event "female student A is selected" be event $A$, and the event "male student B is selected" be event $B$. Find $P\left(B|A\right)$;  
$(2)$ Let the number of male students among the selected 3 students be denoted as $X$, find the probability distribution and the expected value of the random variable $X$.

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