60 people participated in the half marathon and 80 participated in the full marathon.

Half of the people who participated in the half marathon warm up before the run, while three-quarters of the people who participated in the full marathon warm up.

Assume that warming up and not warming up are mutually exclusive and complementary. a A participant is randomly picked. Draw a tree diagram to represent all possible outcomes

and the corresponding probabilities.

b What is the probability of randomly picking a person who participated in the full marathon and warms up before running?

c What is the probability of randomly picking a participant of the running event who does not warm up before running?