
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 a certain school, four students from Grade 9, Class 2, named $A$, $B$, $C$, and $D, participated in the selection for the school basketball team.<br/>$(1)$ If one person is randomly selected from these four students, the probability of selecting $B$ to participate in the school basketball team is ________;<br/>$(2)$ If two people are randomly selected from these four students, please use a list or draw a tree diagram to find the probability of selecting both $B$ and $C$ to participate in the school basketball team.

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