The probability that it will rain tomorrow is 20%. If it rains on a given day, the probability that it rains the next day is 35%. If it does not rain on a given day, the probability that it rains the next day is 15%. What is the probability that it will rain the day after tomorrow? 1. Construct a tree diagram showing all possible cases and their probabilities, including the probabilities of all possible combinations of outcomes. 2. Determine the probability that it will rain the day after tomorrow. You must show your work - preferably showing the calculations based on the "rules of probability".