Question 1 Suri finds that ice cream sales decrease on a rainy day. The probability that it rains given that it rained the previous day is 50%. The probability that it will rain following a fine day is 20%. a) The weather forecaster predicted a 40% chance of rain on Friday. Draw a tree diagram to show all the possible outcomes of weather for the next three days (Friday to Sunday). Include appropriate probabilities on the tree diagram. b) Give the exact probability that it will be fine on all three days. c) What is the exact probability it will rain on at least one of the days? d) In the long term, the probability of rain on any given day is approximately 12.2%. How many rainy days are expected in a year (one year is 365 days)? 3