QUESTION 8 8.1 8.2 A bag contains 3 blue marbles and 2 red marbles. A marble is taken from the bag, the colour is recorded and the marble is put aside. A second marble is taken from the bag. the colour is recorded and then put aside. 8.1.1 8.1.2 Draw a tree diagram to represent the information above. Show the probabilities associated with EACH branch, as well as the possible outcomes. 8.2.2 Determine the probability of first taking a red marble and then taking a blue marble, in that order. A and B are two events. The probability that event A will occur is 0,4 and the probability that event B will occur is 0,3. The probability that either event A or event B will occur is 0,58. 8.2.1 Are events A and B mutually exclusive? Justify your answer with appropriate calculations. Are events A and B independent? Justify your answer with appropriate calculations. (3) (3) (3) [11]
