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Vocabulary: Read through the following vocabulary. Knowing these words will help with understanding the context of the problem. fine day: a day without rain Question 1 continues ... flyer: a small advertisement of an event assumption: a thing that is accepted as true, calculations can be affected by assumptions that are made b) Give the probability that it will rain on at least 1 day of these 3 days. fairy floss: a carnival treat made of spun sugar Storyline: Freddy is a mathematician who runs a carnival. He enjoys the rides and different carnival games and hopes to use mathematics to improve the carnival experience. Use your knowledge of c) If it rains on at least 1 day, what is the probability it rains on all 3 days? probability and probability distributions to answer the questions about his observations at the carnival. Where appropriate, answers should be rounded to 4 decimal places if not specified. Question 1 d) In the long term, the probability of rain on any given day is approximately 19.8%. How many rainy Freddy finds that ticket sales decrease on a rainy day. The probability that it rains given that it days are expected in a year (one year is 365 days)? rained the previous day is 28%. The probability that it will rain following a fine day is 10%. a) The weather forecaster predicted a 30% chance of rain on Friday. Draw a tree diagram to show all the possible outcomes of weather for the next three days (Friday-Sunday). Include appropriate probabilities on the tree diagram