
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
Samantha is researching extracurricular classes at her college for a university newsletter. The college offers two special programs: Robotics and Astronomy. Samantha has a list of all 40 students enrolled in at least one of these programs. She finds out that 28 students are in the Robotics program and 32 students are in the Astronomy program. If Samantha randomly selects two students from her list for an interview, what is the probability that she will get insights on both the Robotics and Astronomy programs after her interviews? Express your answer as a fraction in simplest form.

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