1.2 Questions
Q1
Year 10 class has 15 boys and 12 girls. 10 of the boys and 8 of the girls say they are interested in tennis.
- Show this information on aVenn diagram.
- A student is selected at random. Use the diagram to find the probability that the
student selected is:
- a girl who is interested in tennis
- a boy who is not interested in tennis
- someone who is interested in tennis
- someone who is not interested in tennis.
Q2
Anormal six-sided die is rolled. The following events are defined:
- A = rolling an even number
- B = rolling a 2 or a 6
- C = rolling a 1 or a 3
- D = rolling a multiple of 3
- List all possible pairs of events (order does not matter).
- Are any of these pairs mutually exclusive?
- Find the probability of each event.
- Find the probability that either event occurs for each of the pairs listed in 1.
- Find the probability that both of the events occur for each of the pairs listed in 1.
- Find the sum of the probabilities of each event in all the pairs listed in 1.
- Compare your answers to parts 4, 5 and 6. What do you find? Write an equation to summarise your findings.
Q3
A class conducted a traffic survey. The types of vehicles they recorded were:
| sedan | station | wagon | 4wD | hatchback |
| truck | van | bus | 2door |
- What difficulties can you see arising from the data collection?
- How could these difficulties have been avoided?
Q4
Consider a fair 20-sided die with sides numbered 1 to 20. The die is rolled once. For this situation:
- list four pairs of events that are mutually exclusive
- list four pairs of events that may overlap
- describe a pair of events, A and B, so that
and
Q5
Two socks are selected at random from a drawyer containing 4 red and 4 yellow socks. a. Find the probabiolity that the two socks will be of the same colour if the socks are drawn without replacement (3/7)
b. Find the probabilty that the two socks will not be of the same colour if the socks are drawn without replacement. (4/7)