Probability: Understanding Chance and Likelihood for Year 5 Maths

Question 1

Which of these does NOT affect how likely something is?

Accepted Answer

Your opinion

Answer

The number of things involved

Answer

Luck

Question 2

The opposite of a probability of 0 is:

Accepted Answer

1

Answer

0.5

Answer

-1

Question 3

A game involves rolling two dice and adding the numbers. What is the probability of getting a sum of 7?

Accepted Answer

1 in 12

Answer

1 in 6

Answer

1 in 18

Question 4

A bag contains 6 red, 4 blue, and 2 green marbles. If you pick a marble without looking, what is the chance of NOT picking a green marble?

Accepted Answer

3 out of 4

Answer

1 out of 2

Answer

2 out of 3

Question 5

A spinner has 4 equal sections coloured red, blue, green, and yellow. If you spin it once, what is the chance of landing on blue?

Accepted Answer

1 out of 4

Answer

1 out of 8

Answer

1 out of 16

Question 6

Which of these probabilities is closest to 100%?

Accepted Answer

75%

Answer

25%

Answer

50%

Question 7

You roll a standard six-sided die. What is the probability of rolling an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 8

Which of the following events has the lowest probability of happening?

Accepted Answer

Rolling a 7 on a standard six-sided die

Answer

Getting heads when you flip a coin

Answer

Drawing a red card from a standard deck of 52 cards

Answer

Getting tails when you flip a coin

Question 9

What is the probability of an event that will never happen?

Accepted Answer

0

Answer

1/4

Answer

1/2

Answer

1

Question 10

When an event is certain to occur, what is its probability?

Accepted Answer

100%

Answer

0%

Answer

50%

Question 11

A bag of sweets contains 2 red sweets, 3 blue sweets, and 5 green sweets. If you pick a sweet at random, what is the probability of it being blue?

Accepted Answer

1/3

Answer

1/2

Answer

1/5

Answer

1/10

Question 12

A spinner has 6 equal parts, labelled A to F. What is the probability of spinning the letter C?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 13

Which of the following is an example of a sure thing?

Accepted Answer

Picking a red marble from a bag containing only red marbles

Answer

Getting a number less than 7 when rolling a dice

Answer

Flipping a coin and getting heads or tails

Answer

Spinning a spinner with 3 equal parts and landing on a specific part

Question 14

You have a bag with 5 red marbles and 3 blue marbles. What is the chance of picking a blue marble?

Accepted Answer

One-third

Answer

Half

Answer

One-fifth

Question 15

The chance of rain tomorrow is 40%. What is the chance of it NOT raining?

Accepted Answer

60%

Answer

40%

Answer

100%

Question 16

You roll two dice. What is the chance of rolling an even number and a prime number?

Accepted Answer

One in twelve

Answer

One in twenty-four

Answer

One in thirty-six

Question 17

There are 4 red marbles, 3 blue marbles, and 2 green marbles in a bag. What is the chance of picking a red marble?

Accepted Answer

Four in nine

Answer

Two in nine

Answer

Six in nine

Question 18

Which of these games uses probability?

Accepted Answer

Roulette

Answer

Chess

Answer

Monopoly

Question 19

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

Accepted Answer

50%

Answer

0%

Answer

25%

Answer

100%

Question 20

A spinner is divided into 6 equal sections, each with a different number. If the spinner is spun once, what is the probability of landing on an even number?

Accepted Answer

1 out of 2

Answer

1 out of 3

Answer

1 out of 4

Answer

1 out of 6

Question 21

Which of the following is NOT a possible probability?

Accepted Answer

150%

Answer

0%

Answer

55%

Answer

100%

Question 22

A bag contains 4 yellow pencils, 3 green pencils, and 2 blue pencils. If two pencils are picked at random without putting the first pencil back, what is the probability that both pencils are yellow?

Accepted Answer

1 out of 6

Answer

1 out of 3

Answer

1 out of 2

Answer

2 out of 3

Question 23

When you roll a standard six-sided die, what are the chances of getting a 6?

Accepted Answer

1 in 6

Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Question 24

Turn 0.75 into a percentage.

Accepted Answer

75%

Answer

5%

Answer

15%

Answer

95%

Question 25

There are 4 red marbles and 6 blue marbles in a bag. What is the likelihood of picking a red marble?

Accepted Answer

1 in 4

Answer

1 in 3

Answer

2 in 3

Answer

3 in 4

Question 26

What are the chances of NOT rolling a 2 on a standard six-sided die?

Accepted Answer

5 in 6

Answer

1 in 6

Answer

1 in 3

Answer

2 in 3

Question 27

A spinner has 8 equal sections, numbered 1 to 8. What are the chances of spinning a number that's more than 4?

Accepted Answer

3 in 4

Answer

1 in 4

Answer

1 in 2

Answer

1 in 1

Question 28

A coin is flipped twice. What are the chances of getting heads both times?

Accepted Answer

1 in 4

Answer

1 in 2

Answer

1 in 1

Answer

2 in 3

Question 29

What is the chance of getting heads if you flip a coin?

Accepted Answer

1 out of 2

Answer

1 out of 4

Answer

3 out of 4

Answer

1 out of 1

Question 30

What is 0.75 as a percentage?

Accepted Answer

75%

Answer

7.5%

Answer

750%

Answer

7500%

Question 31

Which of these is more likely to happen?

Accepted Answer

Rolling an odd number on a dice

Answer

Rolling a 6 on a dice

Question 32

What is the chance of something happening if it cannot happen at all?

Accepted Answer

0

Answer

1 out of 2

Answer

1 out of 1

Answer

100%

Question 33

A fair dice is rolled twice. What is the chance of rolling an even number on the first roll and an odd number on the second roll?

Accepted Answer

1 out of 12

Answer

1 out of 4

Answer

1 out of 6

Answer

1 out of 3

Question 34

A bag contains black and white marbles only. The ratio of black marbles to white marbles is 3:2. What is the probability of picking a black marble from the bag?

Accepted Answer

3/5

Answer

2/5

Answer

3/8

Answer

5/8

Question 35

A survey of 100 students showed that 60 prefer football, 30 prefer tennis, and the rest prefer other sports. What is the probability that a randomly chosen student prefers tennis?

Accepted Answer

0.3

Answer

0.6

Answer

0.1

Answer

0.4

Question 36

In a bag, there are 4 red marbles, 3 blue marbles, and 2 green marbles. If you pick a marble without looking, what is the chance that it is not blue?

Accepted Answer

7/9

Answer

1/3

Answer

4/9

Answer

2/3

Question 37

100 students were asked their favorite subject. 40 said Math, 30 said English, and 20 said Science. What percentage of students chose Math?

Accepted Answer

40%

Answer

30%

Answer

20%

Answer

10%

Question 38

In a bag, there are 5 red balls, 3 blue balls, and 4 yellow balls. If you pick a ball without looking, what is the chance that it is either red or blue?

Accepted Answer

8/12

Answer

3/12

Answer

5/12

Answer

4/12

Question 39

You roll a fair dice once. What is the chance of rolling an even number?

Accepted Answer

1/2

Answer

1/6

Answer

1/3

Answer

1/4

Question 40

In a bag with 8 red marbles, 5 blue marbles, and 3 yellow marbles, what's the chance of picking a red marble?

Accepted Answer

8/16

Answer

5/16

Answer

3/16

Answer

10/16

Question 41

When you flip a fair coin, what's the likelihood of getting heads?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

2/3

Question 42

A class has 12 students, and 5 wear glasses. What's the probability that a randomly picked student won't wear glasses?

Accepted Answer

7/12

Answer

5/12

Answer

2/5

Answer

1/2

Question 43

In a box with 9 balls, numbered 1 to 9, what's the likelihood of drawing a ball with an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/9

Answer

2/9

Question 44

A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles. What's the likelihood of picking a blue or a green marble?

Accepted Answer

8/14

Answer

3/14

Answer

5/14

Answer

6/14

Question 45

When a coin is flipped, what is the probability of getting heads?

Accepted Answer

1/2

Answer

1/8

Answer

1/3

Answer

1/4

Question 46

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is selected at random without replacement, what is the probability of choosing a blue marble?

Accepted Answer

3/10

Answer

1/10

Answer

2/10

Answer

5/10

Question 47

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

Accepted Answer

As a percentage greater than 100%

Answer

As a ratio

Answer

As a decimal

Answer

As a fraction

Question 48

A spinner is divided into 8 equal sections, each with a different number from 1 to 8. What is the probability of spinning a number greater than 5?

Accepted Answer

3/8

Answer

1/4

Answer

1/8

Answer

1/2

Question 49

Two coins are flipped. What is the probability of getting at least one tail?

Accepted Answer

3/4

Answer

1/4

Answer

1/8

Answer

1/2