Mathematics
Home > Mathematics > General Mathematics > HSC Course > Probability > PB3: Multi-stage events > Quick quiz: A sample of multiple choice questions for this topic.
PB3
- A coin is tossed three times.
Select the correct tree diagram.
- A family consists of two children.
From this tree diagram list the possible combination of boys and girls.
- Two boys, a boy and a girl, a girl and a boy or two girls.
- Two boys, a girl and a boy or two girls.
- Impossible to tell from the tree diagram.
- The numbers 1, 2, 3 and 4 are used to form a three digit
number on the condition no digit can be used more than once.
The number of three digit numbers that can be formed is:
- 6
- 64
- 24
- The number of arrangements of four different items is:
- 4x3x2x1
- 4x4x4x4
- Too many to count
- A captain and vice-captain must be selected from a team
of five tennis players.
The number of possible selections is:
- 2
- 20
- 10
- A race has 8 runners. In how many different ways can the
first three places be filled.
- 3
- 336
- 40 320
- In a class of 30 students, 12 play softball and 23 play
cricket. Four play neither softball nor cricket. Which
diagram best represents this information.
- How many different ways are there of answering a three
question True/False test?
- 3
- 6
- 8
- In how many ways can the names of four candidates be
listed on a ballot paper?
- 4x3x2x1="24
- 4x4x4x4="256
- Too many to count
- A new model car is available with cloth or leather
upholstery and 6 exterior paint colours. There is also an
option for air-conditioning and an option for power steering.
If a car dealer wishes to display one car for each possible combination, how many cars would be needed?
- 12
- 24
- 48
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