Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps/formulas to improve my understanding of the problem. Thank you! Like how do you find the probability of each situation? And can you please draw a explicit tree?

The probability that Sam goes for a run in the morning before work (event R) is 2/5. If he runs then the probability that he catches the train to work (event T) is 2/5. If he does not run then the probability that he catches the train to work is 1/2. If he does not catch the train, then he catches the bus. (8.) (5 points) Draw a tree showing the probabilities governing Sam's morning. (b) (5 points) What is the probability that Sam catches the train? (0) (5 points) You are told that Sam made the train what is the probability that he ran