
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
Let the student affairs office of De School select a flag bearer for the Monday morning meeting from 4 students in Class 1 of Grade 9 (2 boys and 2 girls). Please answer the following questions:  
$(1)$ If one student is randomly selected from these 4 students, the probability that the selected student is a boy is ______;  
$(2)$ If two students are randomly selected from these 4 students, find the probability that the two students have the same gender.

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