1) Suppose the probability that a US resident has traveled to Canada is 0.12, to Mexico is 0.20, and to both countries is 0.04. Round your answers to two decimal places. (11 pts) a) Create a Venn diagram for the scenario above. b) What is the probability that a US resident chosen at random has traveled to Canada but not Mexico? c) What is the probability that a US resident chosen at random has traveled to either Canada or Mexico? d) What is the probability that a US resident chosen at random has not traveled to either Canada or Mexico? e) What is the probability that a US resident chosen at random has traveled to Mexico given they have traveled to Canada? 2) Historically, two rival teams have been closely matched, and during a regular season, they play each other twice. The probability that Team A wins the first game is 0.45. If Team A wins the first game, the probability that they also win the second game is 0.30. If they lose the first game, the probability that Team A wins the second game is 0.65. For parts (a-d), do not round your answers. For part (e) round your answer to three decimal places. (11 pts) a) Create a tree diagram for the scenario above. b) What is the probability that Team A wins both games? c) What is the probability that Team A wins exactly one game? d) What is the probability that Team A wins the second game? e) Given Team A wins the second, what is the probability they won the first game