# 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 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 event A and B independent ?

Justify your answer with appropriate calculations (3)

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