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: