Initial Diagnostic Audit - Unit D3: Extending Probability Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section D3.1 - Multiplication for Independent Events
1. A die is thrown and a coin is tossed. What is the probability of obtaining an even number on the die and a
2. Three dice are thrown and their scores are added.
3. The diagram shows two fair spinners. Both spinners are spun and the scores are added together.
You may use a calculator for the next question.
4. Four balls are drawn at random, one after the other and without replacement, from a bag containing
Section D3.2 - Mutually Exclusive Events
5.
In an experiment consisting of throwing a die followed by drawing a card from a pack of
playing cards, find the probability of obtaining
6. A box contains eight marbles: 1 is red, 2 are blue and 5 are green.
Section D3.3 - Tree Diagrams and Conditional Probability
7.
Terry has a box of chocolates.
(a) Complete the tree diagram showing all the probabilities.
(b) Calculate the probability that when Terry eats two chocolates, he eats either two milk chocolates or two
Section D3.4 - Using Venn Diagrams to Find Probabilities
8. A group of people apply for work in either one or two of three different firms, L, M and N.
In the Venn diagram above, the numbers represent the number of people who apply for jobs in the three firms.
(a) A person is chosen at random from the group.
(b) Calculate the probability that the person applies for work in all three firms. p =
(c) A person is chosen at random from those who apply for N.
You may use a calculator for the last two questions
Two people are chosen at random from the group.
