Alex and max are twins, and they are both about to take exams in math, english, history, and science. their parents
have offered them special privileges (details to be announced) if they get a’s in all their exams. for the four exams,
alex’s probabilities of getting a’s are 0.8, 0.9, 0.8, and 0.95, respectively. the equivalent probabilities for max are
0.9, 0.9, 0.85, and 0.85. (you can assume that the results of the four tests are independent of one another.)
a. which of the twins is more likely to get a’s in all the exams?
b. which of the twins is more likely to get at least one a?