Part C: Application 8. Two fair dice are rolled. What is the probability of [2] a) rolling a sum total of 8? [2] b) rolling a sum total greater than 5? [2] c) rolling a sum of 2, 4 times in a row? (2] d) rolling doubles or a number (sum) that is evenly divisible by 3? 9. When Ayla plays darts the chances that a she hits a bulls eye is 50% [2] a) Draw a tree diagram to represent this problem when 3 darts are thrown [1] b) What are the chances that three darts fired in succession will all hit bulls eye? [1] c) What is the probability that none of the darts will hit? [2] d) What is the probability that at least one dart will hit? (2] e) What is the probability that 2 darts will hit? 10. The probability that Jacqueline will be elected to the students' council is 0.6, and the probability that she will be selected to represent her school in a public-speaking contest is 0.75. The probability of Jacqueline achieving both of these goals is 0.5. [2] a) Are these two goals mutually exclusive? Explain your answer. [2] b) Are these two goals independent? Explain your answer. [2] c) What is the probability that Jacqueline is either elected to the students' council or picked for the public-speaking contest? 11. The following table shows the points scored each game by Pat during the basketball season. Points Frequency [1] a) What is the probability Pat scores between 0 and 15 points in a game? 0-9 1 [1] b) What is the probability Pat scores 16 or more points? 10-15 6 [2] c) This is an example of probability. Give reasons for your answer. 16-20 5 21-25 17 25+ 8