Lesson: Complementary Events

A bag contains 6 red balls, 8 yellow ones, and 4 black ones. If a ball is randomly selected, find the probability of it being NEITHER black NOR yellow.

A class in a school contains 38 students. At the end of the school year, 28 of the students passed mathematics, 32 passed science, and 26 passed both science and mathematics. If a student is chosen at random from the class, what is the probability that they failed science?

If the probability of an event happening is , what is the probability of the event not happening?