
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 job fair in 2016, there were 5 job seekers, denoted as A, B, C, D, and E, who were very similar in qualifications. They applied for secretary positions, but there were only 2 positions available. Therefore, only 2 out of the 5 applicants would be hired. Assuming each of the 5 applicants had an equal chance of being hired, calculate the probability of the following events:  
(1) C gets a position  
(2) B or E gets a position.

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