QUESTION 8
8.1 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 Draw a tree diagram to represent the information above. Show the probabilities associated with EACH branch, as well as the possible outcomes. (3)
8.1.2 Determine the probability of first taking a red marble and then taking a blue marble, in that order. (2)
8.2 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. (3)
8.2.2 Are events A and B independent? Justify your answer with appropriate calculations. (3)
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