1. [C - 5 points, T - 4 points] A game is played by spinning two spinners: The 1st spinner has 4 equal sectors with numbers 2, 3, 6, 8. The 2nd spinner has 5 equal sectors: light red, dark red, light blue, dark blue, and light green. Arlene wins this game if she spins a multiple of 3 and any dark colour. a) Construct a tree diagram for the possible outcomes of the game, highlight Arlene's winning branches. b) Construct a table showing possible outcomes of the game, highlight Arlene's winning outcomes. c) What is the probability that Arlene wins this game? Express your answer to 4 decimals, d) What is the probability Arlene wins the game given she got a multiple of 3 on the 1st spinner? Express your answer to 4 decimals. 2. [A, 6 points] The Bureau of Census reported that, in 2013, the children between the ages of 3 and 5 living in a household that included their mother, broke down into the following groups according to their mother's education level and whether or not the children were enrolled in preschool or kindergarten. Mother's Education Level Enrolled Not enrolled Total (in thousands) (in thousands) (in thousands) Elementary: 0-8 years 219 337 556 Some high school: 1-3 years 566 712 1278 High school graduate 2090 1897 3987 Some college: less than a BA 1762 1306 3068 BA degree or higher 1476 693 2169 Total 6113 4945 11 058 Find the following: a) The probability that the child was enrolled in preschool or kindergarten, b) The probability that the child was enrolled in preschool or kindergarten given that the child's mother had only an elementary education, c) The probability that the child was enrolled in preschool or kindergarten given that the child's mother had a BA degree or higher