
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
Select $2$ students from $4$ students, named A, B, C, and D, to participate in a table tennis singles match.<br/>$(1)$ If student A is selected to participate in the match, and then another student is randomly selected from the remaining $3$ students, the probability of selecting student B is ______；<br/>$(2)$ If $2$ students are randomly selected to participate in the match, find the probability that student D will definitely be selected. (Solve using a tree diagram or list method)

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