1. The problem statement, all variables and given/known data This is another probability that drives me crazy. The question is: A test consists of 6 M.C. questions and each question has 4 options. Students have to answer all questions, 1 mark awarded for each correct answer, no marks deducted for incorrect answers. The passing mark of the test is 4. Suppose a student answers all questions by guessing randomly if he does not prepare for the test. (a) If Mary forgets to prepare for the test, find the probability that (iii) Mary passes the test (b) 40 students take the test and 10 of them do not prepare for the test. Assume students who have prepared for the test can pass the test. (i) If 2 students are selected from the class at random, find the probability that both of them pass the test. 2. Relevant equations 3. The attempt at a solution (a)(iii) is it P(4 answered correct) + P(5 answered correct) + P(6 answered correct)? (b) (i) This is a big trouble for me. 40 students, 30 students have prepared but 10 students haven't. OK. Because of the assumption given, 30 students should have passed the exam, but how about the remaining 10 students? how can I know how many of them passes the test among the 10 lazy students?