Probability Quizzes for Year 11 Mathematics: Test Your Understanding

Question 1

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

Accepted Answer

0.12

Answer

0.7

Answer

0.3

Answer

0.4

Question 2

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of selecting a red ball?

Accepted Answer

1/5

Answer

1/2

Answer

1/3

Answer

1/10

Question 3

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

Accepted Answer

1/8

Answer

1/2

Answer

1/4

Answer

1/16

Question 4

Two dice are rolled. What is the probability of rolling a sum of 7?

Accepted Answer

1/12

Answer

1/6

Answer

1/9

Answer

1/18

Question 5

Which of the following is NOT a factor that affects probability?

Accepted Answer

Humidity

Answer

Sample size

Answer

Randomness

Answer

Bias

Question 6

Which of the following probability distributions is used to model the number of successes in a sequence of independent experiments?

Accepted Answer

Binomial distribution

Answer

Normal distribution

Answer

Poisson distribution

Answer

Uniform distribution

Question 7

A coin is tossed twice. What is the probability of obtaining heads on the first toss and tails on the second toss?

Accepted Answer

1/8

Answer

1/4

Answer

1/16

Answer

1/32

Question 8

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If a marble is drawn at random, what is the probability of drawing a blue or green marble?

Accepted Answer

2/3

Answer

1/3

Answer

1/2

Answer

1

Question 9

In a game, you roll a fair six-sided die. You win £2 if it's odd, lose £1 if it's even. What's the game's expected value?

Accepted Answer

0

Answer

1/6

Answer

1/3

Answer

1/2

Question 10

If you toss a fair coin three times, what's the probability of getting at least one head?

Accepted Answer

7/8

Answer

1/2

Answer

1/4

Answer

1/8

Question 11

A survey of 100 students showed that 60 liked maths and 70 liked science. If 35 liked both subjects, what is the probability that a student chosen at random liked both maths and science?

Accepted Answer

0.35

Answer

0.55

Answer

0.70

Answer

0.85

Question 12

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

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 13

A game involves rolling two fair dice. The player wins if the sum of the numbers rolled is even. What is the probability of winning the game?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 14

A fair six-sided die is rolled. What is the probability of rolling a number greater than or equal to 4?

Accepted Answer

2/3

Answer

1/2

Answer

1/3

Answer

3/4

Question 15

A company claims that their water filter removes 98% of bacteria from water. If a sample of 1000 bacteria-contaminated water is passed through the filter, how many bacteria would you expect to remain?

Accepted Answer

20

Answer

50

Answer

200

Answer

1000

Question 16

A survey of 500 people found that 250 people prefer tea to coffee. What is the probability of randomly selecting a person from the survey who prefers coffee?

Accepted Answer

0.25

Answer

0.5

Answer

0.75

Answer

1

Question 17

Which of the following represents the sample space for the experiment of rolling a fair six-sided die?

Accepted Answer

{1, 2, 3, 4, 5, 6}

Answer

{1, 2, 3, 4, 5}

Answer

{1, 3, 5}

Answer

{a, b, c, d, e, f}

Question 18

A bag contains 4 red balls, 3 blue balls, and 2 green balls. Two balls are drawn from the bag, with replacement. What is the probability of drawing at least one red ball?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

1

Question 19

You shuffle a standard deck of 52 cards. You draw one card and don't put it back. What's the chance of drawing a queen first and then an ace?

Accepted Answer

1/52 * 1/51

Answer

1/26

Answer

1/13

Question 20

Which limitation is associated with using experimental probability?

Accepted Answer

It can be influenced by sample size and biases.

Answer

It is always accurate.

Answer

It can predict future events with certainty.

Question 21

When an event has an equal chance of happening or not happening, what is its probability?

Accepted Answer

0.5

Answer

0

Answer

1

Question 22

A lottery has 1000 tickets and 10 winning tickets. What is the probability of winning a prize?

Accepted Answer

1 in 100 (0.01)

Answer

1 in 10 (0.1)

Answer

1 in 1 (1)

Answer

10 in 1 (10)

Question 23

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If two marbles are drawn with replacement, what is the probability that both marbles are red?

Accepted Answer

1 / 12

Answer

1 / 15

Answer

1 / 18

Answer

1 / 21

Question 24

A fair coin is tossed 10 times. What is the probability of getting less than 4 heads?

Accepted Answer

0.45

Answer

0.25

Answer

0.35

Answer

0.55

Question 25

A bag contains 5 red balls and 7 blue balls. If a ball is drawn randomly, what is the experimental probability of drawing a blue ball?

Accepted Answer

7/12

Answer

2/5

Answer

2/12

Answer

5/7

Question 26

A box contains 10 identical balls, numbered 1 to 10. If two balls are drawn without replacement, what is the probability that the sum of the numbers on the balls is less than 5?

Accepted Answer

1/5

Answer

1/10

Answer

1/2

Answer

2/5

Question 27

What is the probability of rolling a 6 on a standard six-sided dice?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 28

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

Accepted Answer

5/16

Answer

1/2

Answer

1/8

Answer

1/4

Question 29

A survey of 100 students showed that 60 students like math. What is the probability that a randomly selected student from this group likes math?

Accepted Answer

0.6

Answer

0.5

Answer

0.4

Answer

0.3

Question 30

Which of the following is NOT a property of probability?

Accepted Answer

Probability can be negative.

Answer

Probability is between 0 and 1.

Answer

The sum of probabilities of all possible outcomes is 1.

Answer

Probability is a measure of the likelihood of an event occurring.

Question 31

A box contains 4 green balls, 3 red balls, and 2 blue balls. What is the probability of drawing a green ball or a blue ball?

Accepted Answer

9/11

Answer

1/2

Answer

2/5

Answer

1/3

Question 32

Two events A and B are independent. If P(A) = 0.4 and P(B) = 0.6, what is P(A and B)?

Accepted Answer

0.24

Answer

0.1

Answer

0.4

Answer

0.6

Question 33

What is the probability of rolling a number greater than 4 on a fair six-sided dice?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 34

A school has 1500 students. The probability of any student being absent on a given day is 0.1. What's the probability of a randomly chosen student being absent?

Accepted Answer

0.1

Answer

0.01

Answer

150

Question 35

Two fair coins are tossed together. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Answer

3/4

Question 36

A fair spinner has 6 sections, each marked with a different letter: A, B, C, D, E, F. What is the probability of spinning the letter 'C'?

Accepted Answer

1/6

Answer

1/5

Answer

1/4

Answer

1/3

Question 37

A game involves drawing a card from a standard deck of 52 cards. What is the probability of drawing a black 7?

Accepted Answer

1/26

Answer

1/13

Answer

1/10

Answer

1/8

Question 38

A fair six-sided dice is rolled once. 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 39

A bag contains 6 red balls and 4 blue balls. If two balls are drawn at random without replacement, what is the probability of drawing two red balls?

Accepted Answer

2/5

Answer

1/5

Answer

3/5

Answer

4/5

Question 40

A bag contains 3 red balls, 2 blue balls, and 4 green balls. If a ball is drawn at random and replaced, what is the probability that the ball drawn is not red?

Accepted Answer

2/3

Answer

1/2

Answer

1/3

Answer

1/6

Question 41

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart or a king?

Accepted Answer

11/26

Answer

1/8

Answer

1/13

Answer

1/5

Question 42

A committee of 5 people is to be selected randomly from a group of 10 candidates. What is the probability that the committee will include 2 specific individuals?

Accepted Answer

12/253

Answer

2/10

Answer

1/2

Question 43

A bag contains 6 red, 4 blue, and 3 yellow marbles. If a marble is drawn at random, what is the probability of drawing a blue marble?

Accepted Answer

4 out of 13

Answer

1 out of 2

Answer

3 out of 13

Answer

6 out of 13

Question 44

A box contains 5 black pens and 7 red pens. Two pens are drawn without replacement. What is the probability of drawing a black pen first and then a red pen?

Accepted Answer

(5 out of 12) multiplied by (7 out of 11)

Answer

(5 out of 12) multiplied by (11 out of 7)

Answer

(7 out of 12) multiplied by (5 out of 11)

Answer

(12 out of 5) multiplied by (7 out of 11)

Question 45

A bag contains 3 green, 4 blue, and 5 red marbles. What is the probability of drawing a green or blue marble?

Accepted Answer

7 out of 12

Answer

5 out of 12

Answer

2 out of 3

Answer

1 out of 2

Question 46

A box contains 6 red, 4 blue, and 3 yellow marbles. If 2 marbles are drawn at random with replacement, what is the probability of drawing a red marble first and then a blue marble?

Accepted Answer

(6 out of 13) multiplied by (4 out of 13)

Answer

(6 out of 13) multiplied by (13 out of 4)

Answer

(4 out of 13) multiplied by (6 out of 13)

Answer

(13 out of 6) multiplied by (4 out of 13)

Question 47

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

Accepted Answer

7 out of 10

Answer

3 out of 10

Answer

1 out of 2

Answer

2 out of 5

Question 48

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

Accepted Answer

3/10

Answer

2/5

Answer

1/3

Answer

1/2

Question 49

A fair coin is tossed 10 times. What is the probability of getting exactly 5 heads?

Accepted Answer

252/1024

Answer

1/2

Answer

1/10

Answer

5/10

Question 50

A spinner has 8 equal sections, numbered 1 to 8. What is the probability of spinning a prime number?

Accepted Answer

3/8

Answer

1/4

Answer

1/2

Answer

1/8

Question 51

Two fair dice are rolled. What is the probability of getting a sum of 7?

Accepted Answer

1/6

Answer

1/4

Answer

1/3

Answer

1/12

Question 52

A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

Accepted Answer

5/14

Answer

5/8

Answer

1/2

Answer

25/56

Question 53

A survey found that 60% of students in a school like pizza. If there are 800 students in the school, how many students like pizza?

Accepted Answer

480

Answer

640

Answer

560

Answer

320

Question 54

A bag contains 4 red balls, 3 green balls, and 2 blue balls. What is the probability of picking a ball that is not red?

Accepted Answer

5/9

Answer

2/9

Answer

4/9

Answer

1/2

Question 55

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

Accepted Answer

7/8

Answer

1/2

Answer

1/8

Answer

3/4

Question 56

A bag contains 10 balls numbered from 1 to 10. A ball is drawn at random. What is the probability that the number on the ball is a multiple of 3?

Accepted Answer

3/10

Answer

1/5

Answer

1/10

Answer

1/3

Question 57

A fair die is rolled. What is the probability of getting an odd number or a number greater than 4?

Accepted Answer

2/3

Answer

5/6

Answer

1/2

Answer

1/3