In: Statistics and Probability
After a long semester professor decides to organize true/false quiz for his students. The questions of this professor are infinitely difficult so for each question the students just randomly guess the answers (True and False) with equal probability 1/2. There are two options: a) a test with 4 questions where you need to write at least 3 correct answers to pass the test and b) a test with 8 questions where you need to write at least 5 correct answers to pass the test. Which quiz should the students choose to have better chances to pass?