Home > Mathematics > General Mathematics > HSC Course > Probability > PB3: Multi-stage events > Quick quiz: A sample of multiple choice questions for this topic.
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1. A
coin is tossed three times.
Select the correct tree diagram.
2. A family consists of two children.
From this tree diagram list the possible combination of boys and girls.

3. 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:
5. A captain and vice-captain must be selected from a team of five tennis players.
The number of possible selections is:
6. A race has 8 runners. In how many different ways can the first three places be filled.
7. 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.
8. How many different ways are there of answering a three question True/False test?
9. In how many ways can the names of four candidates be listed on a ballot paper?
10. 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?