
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]


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A high school offers two elective subjects for the second-year students: "Selected Topics in Geometric Proofs" and "History of Mathematics". Each student can choose at most one module. $\frac{2}{3}$ of the students have taken "Selected Topics in Geometric Proofs", and $\frac{1}{4}$ of the students have taken "History of Mathematics", assuming that each person's choice is independent of others.  
(Ⅰ) For a randomly chosen student, calculate the probability that the student has not taken any of the modules;  
(Ⅱ) For a randomly chosen group of four students, calculate the probability that at least three students have taken "Selected Topics in Geometric Proofs".

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