Probability for Year 9 Maths: Interactive Quizzes and Practice

Question 1

A fair coin is flipped 5 times. What's the chance of getting at least one head?

Accepted Answer

1 - (1/2)^5

Answer

0

Answer

1/2

Answer

1 - 1/2

Question 2

In a fair six-sided die, what is the chance of rolling a 6?

Accepted Answer

1 in 6

Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Question 3

In a bag containing 5 red, 3 blue, and 2 green balls, what is the probability of randomly choosing a blue ball?

Accepted Answer

3/10

Answer

1/5

Answer

1/4

Answer

1/2

Question 4

In a bag with 6 red, 4 blue, and 3 green balls, what is the probability of choosing a red or blue ball?

Accepted Answer

9/13

Answer

5/13

Answer

10/13

Answer

15/13

Question 5

In a bag containing 5 red, 3 blue, and 2 green balls, what is the probability of choosing a red or green ball?

Accepted Answer

7/10

Answer

1/5

Answer

3/10

Answer

1/2

Question 6

A bag contains 5 red marbles, 3 blue marbles, and 2 yellow marbles. If you randomly select a marble, what is the probability of selecting a blue marble?

Accepted Answer

1/3

Answer

1/5

Answer

1/8

Answer

1/10

Question 7

A fair coin is tossed 5 times. What is the probability of getting at least 3 heads?

Accepted Answer

9/16

Answer

1/32

Answer

5/16

Answer

1/2

Question 8

A standard six-sided die is rolled. What is the probability of obtaining a 6?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 9

A bag contains 10 balls, each marked with a distinct number from 1 to 10. If a ball is drawn randomly, what is the probability of selecting a ball with an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/5

Question 10

A box holds 5 red and 7 blue balls. If two balls are drawn successively without replacement, what is the probability of drawing a red ball first and then a blue ball?

Accepted Answer

7/36

Answer

5/12

Answer

7/12

Answer

5/36

Question 11

You roll a fair six-sided die. What is the probability of rolling a number greater than 3?

Accepted Answer

2/3

Answer

1/2

Answer

1/3

Answer

1/6

Question 12

A spinner with 8 equal sections numbered 1 to 8 is spun once. What is the probability of landing on an odd number?

Accepted Answer

1/2

Answer

1/4

Answer

1/8

Answer

3/8

Question 13

The probability of rain tomorrow is 40%. What is the probability that it will not rain tomorrow?

Accepted Answer

60%

Answer

40%

Answer

80%

Answer

100%

Question 14

In a bag containing 5 red and 7 blue balls, what is the probability of randomly selecting a blue ball?

Accepted Answer

7/12

Answer

5/12

Answer

1/2

Answer

2/5

Question 15

A coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip?

Accepted Answer

0.25

Answer

0.33

Answer

0.5

Answer

0.75

Question 16

A bag contains 5 red balls and 3 blue balls. If you draw 1 ball, what is the probability that it is blue?

Accepted Answer

1 / 3

Answer

1 / 2

Answer

2 / 3

Answer

3 / 5

Question 17

A bag contains 4 red counters, 5 blue counters, and 6 green counters. If you draw 2 counters one at a time, without replacement, what is the probability that both counters are red?

Accepted Answer

1 / 15

Answer

1 / 10

Answer

1 / 5

Answer

1 / 3

Question 18

A bag contains 5 red balls, 4 blue balls, and 3 green balls. If you draw 1 ball, what is the probability that it is not red?

Accepted Answer

2 / 3

Answer

1 / 2

Answer

1 / 3

Answer

3 / 5

Question 19

An event has a probability of occurring as 0.4. What is the probability of the event not happening?

Accepted Answer

0.6

Answer

0.4

Answer

0.2

Answer

1

Question 20

Which of the following is a symmetric probability distribution?

Accepted Answer

Normal distribution

Answer

Binomial distribution

Answer

Poisson distribution

Answer

Exponential distribution

Question 21

Given a normal distribution with a mean of 50 and a standard deviation of 10, what is the probability of selecting a value between 40 and 60?

Accepted Answer

0.683

Answer

0.341

Answer

0.954

Answer

0.046

Question 22

Which of the following describes an event that is guaranteed to occur?

Accepted Answer

Certain

Answer

Impossible

Answer

Probable

Answer

Unlikely

Question 23

In a standard deck of 52 cards, what is the probability of drawing two aces in a row, without putting the first ace back in the deck?

Accepted Answer

1/52 x 1/51

Answer

1/26

Answer

1/104

Question 24

A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you draw a ball at random, what is the probability of drawing a red ball?

Accepted Answer

2 in 5

Answer

1 in 5

Answer

1 in 2

Answer

1 in 3

Question 25

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

Accepted Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Answer

1 in 6

Question 26

A company has 12 employees, six of whom are male. If three employees are selected at random, what is the probability that all three are female?

Accepted Answer

1/36

Answer

1/8

Answer

1/12

Answer

1/24

Question 27

A fair coin is flipped three times. What is the probability of getting exactly two heads?

Accepted Answer

3/8

Answer

1/4

Answer

1/8

Answer

1/2

Question 28

A bag contains 4 red balls, 5 blue balls, and 6 green balls. If two balls are drawn at random without replacement, what is the probability that the first ball is red and the second ball is blue?

Accepted Answer

20/117

Answer

25/117

Answer

30/117

Answer

35/117

Question 29

A survey of 100 students shows that 60 like football, and 40 like basketball. Additionally, 30 students like both football and basketball. What is the probability that a student likes either football or basketball?

Accepted Answer

90/100

Answer

80/100

Answer

70/100

Question 30

A box contains 6 red balls, 4 blue balls, and 2 green balls. If three balls are drawn randomly from the box with replacement, what is the probability that all three balls are red?

Accepted Answer

1/27

Answer

1/12

Answer

1/6

Answer

1/9

Question 31

A fair coin is flipped 4 times. What is the probability of getting exactly 2 heads?

Accepted Answer

3/8

Answer

1/4

Answer

1/2

Question 32

A six-sided die is rolled. What is the probability of rolling a number greater than or equal to 3?

Accepted Answer

1/2

Answer

1/6

Answer

1/3

Answer

1/4

Question 33

Two events, A and B, are independent. The probability of event A occurring is 0.3 and the probability of event B occurring is 0.4. What is the probability of both events A and B occurring?

Accepted Answer

0.12

Answer

0.6

Answer

0.7

Answer

0.2

Question 34

Two coins are tossed. What is the probability of getting at least one head?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

1/8

Question 35

A bag contains 5 red balls, 3 blue balls, and 2 green balls. Two balls are drawn at random with replacement. What is the probability of drawing a red ball and then a blue ball?

Accepted Answer

15/70

Answer

2/7

Answer

3/10

Answer

1/7

Question 36

A box contains 6 different colored balls. Three balls are drawn at random with replacement. What is the probability that the balls are drawn in the order of red, blue, and green?

Accepted Answer

1/60

Answer

1/20

Answer

1/120

Answer

1/6

Question 37

A multiple-choice test has 10 questions, each with 4 answer choices. If a student guesses randomly on each question, what is the probability that they get at least one question correct?

Accepted Answer

1 - (3/4)^10

Answer

(3/4)^10

Answer

1/4

Answer

1/10

Question 38

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

Accepted Answer

2/10

Answer

3/10

Answer

7/10

Question 39

A coin is flipped 10 times. It lands on heads 6 times and tails 4 times. What is the experimental probability of getting heads?

Accepted Answer

6/10

Answer

4/10

Answer

5/10

Answer

1/2

Question 40

A spinner is divided into 8 equal sections, numbered 1 to 8. What is the probability of spinning the arrow and it landing on an odd number?

Accepted Answer

1/2

Answer

5/8

Answer

3/8

Answer

1/8

Question 41

You roll a standard six-sided dice. What is the probability of NOT rolling a 6?

Accepted Answer

5/6

Answer

1/6

Answer

4/6

Answer

2/6

Question 42

Two coins are flipped at the same time. What is the probability of getting at least one head?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

2/4

Question 43

A bag contains 4 red balls and 6 blue balls. You take out two balls without putting the first one back in. What is the probability that both balls are red?

Accepted Answer

2/15

Answer

1/5

Answer

4/10

Answer

1/6

Question 44

Out of 100 students, 60 like chocolate ice cream, 45 like vanilla, and 15 like both.  If you pick a student at random, what's the probability they like chocolate but NOT vanilla?

Accepted Answer

45/100

Answer

30/100

Answer

15/100

Answer

60/100

Question 45

A box contains 5 red balls, 3 blue balls, and 2 green balls. If you pick a ball randomly, what is the probability it's either red OR blue?

Accepted Answer

8/10

Answer

5/10

Answer

2/10

Answer

3/10

Question 46

You flip a fair coin 4 times. What is the probability of getting exactly 2 heads?

Accepted Answer

6/16

Answer

10/16

Answer

4/16

Answer

8/16

Question 47

If the probability of winning a game is 0.3, what is the probability of losing the game?

Accepted Answer

0.7

Answer

0.3

Answer

0.5

Answer

1.0