Learning Goal: Solve complex probability problems using a variety of methods Learning Goal: Use diagrams to solve counting problems 5. Suppose that 80% of allergy sufferers report their symptoms improving with a new type of medication. If they saw their symptoms improve there is 75% chance of recommending the product to their friends. If they did not see their symptoms improve there is a 30% chance that they will recommend it to their friends. a) Draw a Tree Diagram to show the probability of all events. b) What is the probability that they see no improvement and then recommend it to their friends? c) What is the probability that they don't recommend the product to their friends? d) Given that an individual recommended this product to their friends, what is the probability that they saw an improvement on their allergy symptoms