Mathematics

Home > Mathematics > General Mathematics > HSC Course > Probability > PB3: Multi-stage events > Quick quiz: A sample of multiple choice questions for this topic.

PB3

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1. A coin is tossed three times.

Select the correct tree diagram.

Diagram 1

 


Diagram 2

 


Diagram 3

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2. A family consists of two children.

From this tree diagram list the possible combination of boys and girls.

Tree Diagram

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.

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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:

6
64
24

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4. The number of arrangements of four different items is:
4x3x2x1
4x4x4x4
Too many to count

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5. A captain and vice-captain must be selected from a team of five tennis players.

The number of possible selections is:

2
20
10

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6. A race has 8 runners. In how many different ways can the first three places be filled.

3
336
40 320

 

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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.

Ven diagram 1

 


Ven diagram 2

 


Ven diagram 3

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8. How many different ways are there of answering a three question True/False test?

3
6
8

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9. In how many ways can the names of four candidates be listed on a ballot paper?

4x3x2x1=24
4x4x4x4=256
Too many to count

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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?

12
24
48

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