Probability for Year 8 Maths: Interactive Quizzes and Practice

Question 1

In probability, what is the importance of sample space? Provide an example to illustrate your answer.

Accepted Answer

Sample space is the set of all possible outcomes, which is crucial for calculating probabilities.

Answer

Sample space only helps count favorable outcomes, not probabilities.

Answer

Sample space is not relevant for probability calculations.

Answer

The size of the sample space does not impact the probability of an event.

Question 2

A bag contains 5 red balls and 4 blue balls. If a ball is picked at random, what's the probability of picking a blue ball?

Accepted Answer

4 in 9

Answer

1 in 9

Answer

1 in 5

Question 3

An event has a probability of 0.8. What's the probability of it not happening?

Accepted Answer

0.2

Answer

0.8

Answer

0.5

Answer

1

Question 4

Which of the following is NOT a possible outcome when rolling a standard six-sided dice?

Accepted Answer

7

Answer

1

Answer

3

Question 5

A bag contains 5 red and 3 blue balls. If you draw a ball from the bag without looking, what is the probability of drawing a blue ball?

Accepted Answer

3/8

Answer

1/2

Answer

1/4

Question 6

Which of the following is NOT a way to express probability?

Accepted Answer

Line segment

Answer

Fraction

Answer

Percentage

Question 7

What is the probability of rolling an even number on a standard six-sided dice?

Accepted Answer

1/2

Answer

1/3

Question 8

Which of the following is NOT an event in a probability experiment?

Accepted Answer

Drawing a green marble from a bag containing only blue marbles

Answer

Flipping a coin and landing on heads

Answer

Rolling a die and getting a number less than 4

Answer

Drawing a heart from a deck of cards

Question 9

Which of the following is NOT a way to represent probability?

Accepted Answer

Picture

Answer

Fraction

Answer

Percentage

Answer

Decimal

Question 10

What is the probability of getting a sum of 7 when rolling two dice?

Accepted Answer

1/12

Answer

1/6

Answer

1/18

Answer

1/24

Question 11

A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball from the bag?

Accepted Answer

2/5

Answer

1/2

Answer

1/3

Answer

3/8

Question 12

A box contains 6 balls: 2 red, 2 blue, and 2 green. What is the probability of drawing two different colored balls?

Accepted Answer

2/3

Answer

1/3

Answer

1/2

Answer

3/4

Question 13

Which of the following is NOT a possible outcome when rolling a dice?

Accepted Answer

9

Answer

1

Answer

3.5

Answer

6

Question 14

A survey found that 60% of students enjoy reading. If there are 250 students in a school, how many students are expected to enjoy reading?

Accepted Answer

150

Answer

100

Answer

125

Answer

175

Question 15

A fair coin is tossed three times. What is the probability of getting at least one tail?

Accepted Answer

7/8

Answer

1/2

Answer

1/4

Answer

3/4

Question 16

Which outcome is NOT possible when rolling a fair six-sided die?

Accepted Answer

7

Answer

1

Answer

3

Answer

5

Question 17

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability of NOT drawing a blue marble?

Accepted Answer

4/5

Answer

1/2

Answer

2/5

Answer

3/5

Question 18

Which of the following probability scales represents an impossible event?

Accepted Answer

0

Answer

0.25

Answer

0.5

Answer

1

Question 19

A bag contains 8 marbles: 4 red, 2 blue, and 2 green. Two marbles are drawn without replacement. What is the probability of drawing a red marble and then a blue marble?

Accepted Answer

3/8

Answer

1/8

Answer

1/4

Answer

1/2

Question 20

A bag contains 5 red balls and 3 blue balls. If you pick a ball at random, what is the chance of picking a red ball?

Accepted Answer

5 out of 8

Answer

1 out of 2

Answer

2 out of 3

Answer

3 out of 8

Question 21

A spinner has six equal sections, each section representing a distinct color. What is the probability of spinning the color green?

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 22

A tree diagram is primarily used to represent:

Accepted Answer

The possible outcomes of a two-step experiment.

Answer

The relative sizes of two populations.

Answer

The frequency of different colors in a sample.

Answer

The probability of winning a lottery.

Question 23

A probability scale is a line segment that extends from 0 to:

Accepted Answer

1

Answer

2

Answer

5

Answer

10

Question 24

When rolling a fair six-sided die once, what is the probability of obtaining a number greater than 3?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 25

A biased coin has a probability of landing on heads of 0.6. What is the probability of landing on tails?

Accepted Answer

0.4

Answer

0.5

Answer

0.6

Answer

0.7

Question 26

A coin is tossed twice. What is the probability of getting heads both times?

Accepted Answer

1/8

Answer

1/2

Answer

1/4

Answer

1/16

Question 27

Which number is NOT possible to roll on a standard six-sided dice?

Accepted Answer

7

Answer

1

Answer

3

Answer

5

Question 28

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a red marble?

Accepted Answer

2/5

Answer

1/2

Answer

1/3

Answer

1/5

Question 29

Which of the following is an example of an impossible event?

Accepted Answer

Rolling a dice and getting a number greater than 6

Answer

Flipping a coin and getting heads

Answer

Drawing a card from a deck and getting an ace

Answer

Spinning a spinner and getting a number between 0 and 10

Question 30

Which of the following is an example of an independent event?

Accepted Answer

Drawing a card from a deck and replacing it

Answer

Flipping a coin and getting heads on the first flip

Answer

Rolling a dice and getting a 6 on the first roll

Answer

Spinning a spinner and getting a specific number

Question 31

When rolling a standard six-sided dice, which number will never be an outcome?

Accepted Answer

7

Answer

1

Answer

3

Answer

5

Question 32

When tossing a coin twice, what is the probability of getting heads both times?

Accepted Answer

1/4

Answer

1/2

Answer

3/4

Answer

1

Question 33

Which method can be used to show all the possible outcomes of rolling a dice?

Accepted Answer

Tree diagram

Answer

Venn diagram

Answer

Probability scale

Answer

Histogram

Question 34

Which of these does not influence the probability of an event?

Accepted Answer

Personal preferences

Answer

Size of the sample

Answer

Number of possible outcomes

Answer

Past events

Question 35

Which of the following events is most likely to happen?

Accepted Answer

Flipping a coin and getting heads

Answer

Rolling a number greater than 6 on a standard six-sided die

Answer

Drawing a heart from a deck of 52 playing cards

Answer

Choosing an even number from a set of numbers between 1 and 10

Question 36

A tree diagram shows all possible outcomes of flipping two coins. How many outcomes are shown in the tree diagram?

Accepted Answer

8

Answer

2

Answer

4

Answer

16

Question 37

What is the opposite of the event 'rolling a number less than 4 on a standard six-sided die'?

Accepted Answer

Rolling a number greater than 4

Answer

Rolling a number equal to 4

Answer

Rolling an even number

Answer

Rolling an odd number

Question 38

When rolling two fair six-sided dice, what is the probability of getting a total of 8?

Accepted Answer

5/36

Answer

1/6

Answer

1/12

Question 39

Which of the following events is impossible?

Accepted Answer

Drawing a green ball from a bag that contains only red and blue balls

Answer

Rolling a die and getting a number greater than 6

Answer

Flipping a coin and getting heads or tails

Question 40

A box contains 8 white marbles and 6 black marbles. If you draw two marbles with replacement, what is the probability that both marbles are white?

Accepted Answer

64/147

Answer

6/14

Answer

16/117

Answer

8/14

Question 41

An experiment consists of flipping three coins. What is the probability of getting at least two tails?

Accepted Answer

5/8

Answer

1/8

Answer

1/2

Answer

1/4

Question 42

Which of the following is NOT a way to represent probability?

Accepted Answer

Percentage greater than 100%

Answer

Fraction between 0 and 1

Answer

Probability scale

Answer

Decimal between 0 and 1

Question 43

A bag contains 5 red marbles, 3 blue marbles, and 2 yellow marbles. If a marble is drawn at random, what is the chance of drawing a red marble?

Accepted Answer

5/10

Answer

3/10

Answer

1/10

Answer

2/10

Question 44

A bag contains 4 red marbles and 6 blue marbles. Two marbles are drawn without replacement. What is the chance of drawing a blue marble on the second draw?

Accepted Answer

3/5

Answer

1/5

Answer

2/5

Answer

1/2

Question 45

A fair six-sided die is rolled. What is the probability of rolling an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/6

Answer

1/4

Question 46

A game has 5 levels. The probability of passing the first level is 80%, the second level is 70%, the third level is 60%, the fourth level is 50%, and the fifth level is 40%. What is the chance of passing all 5 levels?

Accepted Answer

0.8 * 0.7 * 0.6 * 0.5 * 0.4

Answer

(0.8 + 0.7 + 0.6 + 0.5 + 0.4) / 5

Answer

0.8 + 0.7 + 0.6 + 0.5 + 0.4

Answer

1 - (0.8 * 0.7 * 0.6 * 0.5 * 0.4)

Question 47

A bag contains 6 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of randomly selecting a marble that is not blue?

Accepted Answer

11/15

Answer

5/15

Answer

6/15

Answer

4/15

Question 48

Which of the following tools is used to display the possible outcomes when rolling two dice?

Accepted Answer

Table

Answer

Pie chart

Answer

Bar chart

Answer

Line graph

Question 49

A fair four-sided die is rolled. What is the probability of getting a number less than 3 or greater than 2?

Accepted Answer

1/2

Answer

1/4

Answer

2/3

Answer

3/4

Question 50

A weather forecast predicts a 30% chance of rain tomorrow. What is the probability that it will rain tomorrow?

Accepted Answer

30%

Answer

70%

Answer

0%

Answer

100%

Question 51

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of picking a blue marble?

Accepted Answer

3/10

Answer

2/5

Answer

1/2

Answer

1/5

Question 52

A coin is tossed twice. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Question 53

A spinner has 6 equal sections numbered 1 to 6. What is the probability of landing on an even number?

Accepted Answer

1/2

Answer

2/3

Answer

1/6

Answer

1/3

Question 54

A bag contains 4 red balls and 6 blue balls. Two balls are drawn without replacement. What is the probability that both balls are red?

Accepted Answer

2/15

Answer

4/10

Answer

1/5

Answer

1/10

Question 55

A tree diagram shows the possible outcomes of rolling a die and then flipping a coin. How many possible outcomes are there?

Accepted Answer

12

Answer

8

Answer

24

Answer

6

Question 56

Which of the following events has a probability of 0?

Accepted Answer

Rolling a 7 on a standard die

Answer

Choosing a vowel from the alphabet

Answer

Drawing a red card from a standard deck of cards

Answer

Getting heads when flipping a coin

Question 57

Which of the following events has a probability of 1?

Accepted Answer

Drawing a card from a deck of cards

Answer

Getting a tail when flipping a coin

Answer

Rolling an even number on a standard die

Answer

Choosing a prime number from the numbers 1 to 10

Question 58

A probability scale ranges from 0 to 1. Which of the following probabilities represents an unlikely event?

Accepted Answer

0.1

Answer

0.8

Answer

0.5

Answer

1

Question 59

A fair spinner has 8 equal sections, labeled with numbers from 1 to 8. What is the probability of spinning a number greater than 5?

Accepted Answer

3/8

Answer

1/2

Answer

1/4

Answer

5/8

Question 60

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of picking a blue marble?

Accepted Answer

3/10

Answer

1/2

Answer

1/3

Answer

2/5

Question 61

A fair coin is tossed twice. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

1/8

Answer

1/3

Answer

1/2

Question 62

A spinner has 8 equal sections numbered 1 to 8. What is the probability of the spinner landing on an even number?

Accepted Answer

1/2

Answer

1/4

Answer

1/8

Answer

3/4

Question 63

A dice is rolled. What is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

1/2

Answer

1/6

Question 64

A bag contains 4 red balls and 6 blue balls. If a ball is drawn at random, what is the probability of getting a red ball?

Accepted Answer

2/5

Answer

1/5

Answer

1/2

Answer

3/5