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Pat is taking an economics course. Pat's exam strategy is to rely on luck for the next exam. The exam consists of n true-false questions. Pat plans to guess the answer to each question without reading it. If a grade on the exam is more than 75%, Pat will pass the exam.

(a) Find the probability that Pat will pass the exam when n = 25.

(b) Find the probability that Pat will pass the exam when n = 100:

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