There are three sections of a mathematics course available atconvenient times for a student. There is a 25% chance that Professor Jones gives a final exam,a 15% chance that Professor Cates givesa final exam, and a 9% chance thatProfessor Smithson gives a final exam. At other times there are twobiology sections, and in those the probabilities of a final are4% and 15%.Find the probability that a student who randomly chooses onemathematics course and one biology course has to take at least onefinal examination.