
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 "Knowledge Contest" activity, there are four questions labeled A<sub>1</sub>, A<sub>2</sub>, B, and C, among which A<sub>1</sub> and A<sub>2</sub> are easy questions of the same difficulty, B is a medium question, and C is a difficult question. Now, two students, A and B, each need to randomly select one question from the four to answer.  
(Ⅰ) Calculate the probability that the difficulty of the question selected by student A is greater than the difficulty of the question selected by student B.  
(Ⅱ) Calculate the probability that the difficulty of the questions selected by both students is the same.

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