Probability

Likelihood of Everyday Events

1

Match Chance Words

Draw a line to match.

The sun will rise tomorrow
You will fly like a bird
You will roll a 1 on a dice
It will rain this week
Certain
Impossible
Unlikely
Likely
2

Certain, Likely, Unlikely or Impossible?

Circle the correct word.

A coin will land on heads or tails

Certain
Likely
Unlikely
Impossible

It will snow in summer in Australia

Certain
Likely
Unlikely
Impossible

You will grow taller this year

Certain
Likely
Unlikely
Impossible

A fish will climb a tree

Certain
Likely
Unlikely
Impossible
3

More Likelihood

Circle the correct word.

You will blink in the next minute

Certain
Likely
Unlikely
Impossible

It will rain chocolate

Certain
Likely
Unlikely
Impossible

You will see a car today

Certain
Likely
Unlikely
Impossible

You will find a dinosaur at school

Certain
Likely
Unlikely
Impossible
4

Sort by Likelihood

Sort these events.

It gets dark tonight
You roll a 7 on a normal dice
You pick a red lolly from a bag of mixed lollies
A pig will fly
It will rain sometime this month
Your birthday comes once a year
Impossible
Unlikely
Likely
Certain
5

More or Less Likely?

Circle the event that is MORE likely.

Which is more likely?

Rolling a 6 on a dice
Rolling an even number on a dice

Which is more likely?

Picking a red ball from a bag of 10 red and 2 blue
Picking a blue ball from the same bag

Which is more likely?

It raining in winter
It snowing in summer (in Australia)
6

Describe the Likelihood

Use chance words to describe each event.

Pulling a red marble from a bag of all red marbles: ___

Rolling a number less than 7 on a normal dice: ___

Flipping a coin and getting heads: ___

Finding a dinosaur at school tomorrow: ___

7

Create Your Own Examples

Write one event for each chance word.

Certain: ___

Likely: ___

Unlikely: ___

Impossible: ___

8

Even Chance

Circle the correct answer.

Flipping a fair coin has...

Even chance of heads or tails
More chance of heads
More chance of tails

A spinner with 2 equal sections (red and blue) has...

Even chance of red or blue
More chance of red
More chance of blue
9

Chance on a Number Line

Place each event on the chance line.

Draw a line from Impossible to Certain. Mark where these go: - The sun rising tomorrow - Rolling a 6 on a dice - It raining today - A dog talking

Draw here
10

Home Activity: Chance at Home

Explore chance around your home!

  • 1Think of 3 things that are certain to happen today. Write them down.
  • 2Think of something impossible. Why is it impossible?
  • 3Talk about the weather. Is it likely or unlikely to rain tomorrow?
  • 4Flip a coin 10 times. How many times did you get heads? Was it close to 5?
11

Probability Language — Set A

Circle the correct chance word.

You will need to breathe today.

Certain
Likely
Unlikely
Impossible

A cat will bark.

Certain
Likely
Unlikely
Impossible

It will be windy sometime this month.

Certain
Likely
Unlikely
Impossible

You will grow younger.

Certain
Likely
Unlikely
Impossible
12

Probability Language — Set B

Circle the correct chance word.

Rolling a number bigger than 0 on a normal dice

Certain
Likely
Unlikely
Impossible

Rolling a 7 on a normal dice

Certain
Likely
Unlikely
Impossible

Picking a green ball from a bag of 9 red and 1 green ball

Certain
Likely
Unlikely
Impossible

Picking a red ball from a bag of all red balls

Certain
Likely
Unlikely
Impossible
13

More Likely — Set A

Circle the event that is MORE likely.

Which is more likely on a normal dice?

Rolling an even number
Rolling a 6

A bag has 3 red and 7 blue marbles. Which is more likely?

Picking red
Picking blue

A spinner has 3 equal sections. Which is more likely?

Landing on red
Landing on red or blue

Which is more likely?

It raining tomorrow
Finding a dragon
14

More Likely — Set B

Circle the more likely event.

10 yellow balls and 2 green balls in a bag. You pick...

Yellow — more likely
Green — more likely

A fair coin is flipped. Which is more likely?

Heads
Tails
Even chance

A class has 18 girls and 12 boys. One is chosen. More likely:

A girl is chosen
A boy is chosen
15

Match Events to Chance Words — Set A

Match.

Winning the lottery
The moon rising tonight
Picking a red card from a mixed deck
Growing as tall as a giraffe
Impossible
Likely
Certain
Unlikely
16

Match Events to Chance Words — Set B

Match.

Rolling an even number on a dice
The class having a test today
Adding 2 + 2 and getting 5
Your heart beating right now
Certain
Impossible
Likely
Even chance
17

Sort by Likelihood — Set A

Sort from least to most likely.

Pigs will fly
Flipping heads on a coin
Seeing a car today
Picking blue from 2 blue and 8 red
The sun rising tomorrow
Impossible
Unlikely
Even chance
Likely
Certain
18

Sort by Likelihood — Set B

Sort from impossible to certain.

Rolling a 10 on a dice
Rolling a 3 on a dice
Rolling below 7 on a dice
Rolling 1, 2, 3, 4, 5 or 6 on a dice
Impossible
Unlikely
Likely
Certain
19

Place Events on a Chance Number Line

The chance scale goes from 0 (impossible) to 1 (certain). Place each event.

Draw a number line from 0 to 1. Mark these events: - Impossible (0) - Even chance (0.5) - Certain (1) - Rolling a 6 on a dice (close to 0.17) - Picking from a bag of all red balls (1)

Draw here
20

Create Your Own Chance Examples — Set A

Write an example for each chance level.

Certain: ___

Likely: ___

Even chance: ___

Unlikely: ___

Impossible: ___

21

Create Your Own Chance Examples — Set B

Write examples using everyday situations.

Certain event at school today: ___

Unlikely event at school today: ___

An event with even chance: ___

An impossible event at school: ___

22

Bags and Marbles — Set A

Describe the likelihood for each bag.

Bag A: 5 red marbles. Chance of picking red: ___

Bag B: 5 red, 5 blue marbles. Chance of picking red: ___

Bag C: 1 red, 9 blue marbles. Chance of picking red: ___

Bag D: 10 blue marbles. Chance of picking red: ___

23

Bags and Marbles — Set B

Design a bag for each likelihood.

Design a bag where it is CERTAIN to pick blue: ___

Design a bag where it is IMPOSSIBLE to pick green: ___

Design a bag where it is EQUALLY LIKELY to pick red or blue: ___

Design a bag where it is UNLIKELY to pick yellow: ___

24

Chance in Games

Think about chance in games you play.

Name a game where chance plays a big role: ___

What makes that game unpredictable? ___

Name a game where skill matters more than chance: ___

How is chance different from skill in games? ___

25

Make a Fair Spinner

Design a fair spinner.

Draw a spinner with 4 equal sections coloured Red, Blue, Green and Yellow. Is it fair? ___

Draw here

Change the spinner so Red is twice as likely as the others. Describe your changes: ___

26

Chance Events Tally

Tally how often each event happened in 20 turns.

ItemTallyTotal
Heads
Tails
27

Marble Pick Results Graph

This graph shows results from picking a marble 30 times. Red = 22, Blue = 8.

Red marble
Blue marble
1

Which marble was picked more?

2

Is this what you would expect if the bag had equal numbers?

3

What does this tell us about the contents of the bag?

28

Probability Fractions

A bag has 10 marbles. Fill in the missing count.

10
7
?
10
?
3
10
5
?
10
?
1
10
9
?
10
?
8
29

Chance Reflection

Write your thoughts about chance.

What does 'even chance' mean? ___

Can you make an impossible event possible? Explain: ___

Why is understanding chance useful in daily life? ___

30

Chance Vocabulary Quiz

Match the chance word to the correct probability.

Certain means the event...

Will definitely happen
Might happen
Cannot happen

Impossible means the event...

Will definitely happen
Might happen
Cannot happen

Likely means the event...

Will happen more often than not
Has an even chance
Rarely happens

Unlikely means the event...

Rarely happens
Always happens
Never happens
31

Chance in Weather

Use chance language to describe weather.

A day in July in Sydney. Chance of snow: ___

A day in December in Sydney. Chance of hot weather: ___

Any random day in Queensland. Chance of sunshine: ___

A day in Darwin in January (wet season). Chance of rain: ___

32

Chance Fractions

Write the probability as a fraction.

A bag has 3 red and 7 blue marbles. Chance of red = ___

A bag has 5 red and 5 blue marbles. Chance of red = ___

A bag has 10 red marbles only. Chance of red = ___

A bag has no red marbles. Chance of red = ___

33

Sort: More or Less Likely Than 1/2?

Sort each event.

Rolling 1 on a dice
Flipping heads on a coin
Picking from 7 red and 3 blue
Rolling above 3 on a dice
Picking red from 9 red and 1 blue
Picking red from 1 red and 1 blue
Less likely than 1/2
Equally likely (1/2)
More likely than 1/2
34

Improve a Game Using Chance

Think about fairness and chance.

A game uses a dice: roll a 1 or 2 to win. Is it fair? ___

How would you change the game to make it fair? ___

How would you make the game so Player A has a better chance? ___

35

Chance in Sports

Think about how chance affects sports.

Name a sport where chance plays a big role: ___ Why? ___

Name a sport where skill matters more than chance: ___ Why? ___

How is flipping a coin used in sport? ___

36

Probability Fractions

Fill in the missing probability.

6
1
?
6
?
5
4
1
?
4
?
3
10
3
?
10
?
7
37

Likelihood Scale

Arrange these on a scale from impossible (0) to certain (4).

1
3
4
?
2
3
?
?
38

Certain, Likely, Even, Unlikely or Impossible?

Classify each event.

Rolling a 7 on a standard dice:

Certain
Unlikely
Impossible

Getting a head or tail when flipping a coin:

Certain
Likely
Unlikely

Drawing a red card from a deck of only red cards:

Certain
Likely
Unlikely

It will snow in tropical Queensland in summer:

Likely
Unlikely
Impossible
39

More or Less Likely? — Set B

Circle the more likely event.

Which is more likely?

Rolling a 6 on a dice
Rolling an even number on a dice

Which is more likely?

Drawing a red card from a full deck
Drawing a heart from a full deck

Which is less likely?

Flipping tails on a fair coin
Rolling a 5 on a dice
40

Probability on a Number Line

Where does each probability belong on a 0-to-1 line?

Probability 0 is...

Impossible
Certain
Even chance

Probability 1 is...

Impossible
Certain
Unlikely

Probability 1/2 is...

Likely
Impossible
Even chance

Probability 3/4 is...

Unlikely
Likely
Certain
41

Match Events to Likelihood

Match.

Roll a 1 on a dice
Flip heads on a coin
Roll a number between 1 and 6
Roll a number greater than 6
Impossible
Even chance
Certain
Unlikely
42

Match Probability Words to Fractions

Match.

Certain
Impossible
Even chance
Likely (3/4)
0
3/4
1/2
1
43

Sort: Chance Language

Sort from least likely to most likely.

Drawing a black ball from a bag of all white balls
Flipping heads on a coin
Rolling a number on a dice
Picking an even number from 1, 2, 3, 4, 5, 6
Rolling above 1 on a dice
Impossible
Unlikely
Even
Likely
Certain
44

Sort: Affects Probability or Not?

Sort these factors.

Number of red marbles in the bag
Size of the marble bag
Total number of marbles
The colour of the bag
Number of each colour
Time of day you pick
Affects probability
Does NOT affect probability
45

Count to Find Probability

How many objects are in each set? Use it to calculate probability.

?
?
?
?
46

Probability of Drawing a Colour

A bag has 4 red and 6 blue marbles.

Probability of drawing red = ___/10

Probability of drawing blue = ___/10

P(red) + P(blue) = ___ Why does this make sense? ___

47

Design a Biased Spinner

Design a spinner where green is most likely to win.

Draw your spinner (divide a circle into sections). Label colours.

Draw here

Probability of green winning = ___/total sections

Probability of not-green winning = ___/total sections

48

Design a Fair Spinner

Design a spinner that is equally fair for 4 players.

Draw and label your spinner (4 equal sections).

Draw here

Probability of any one player winning = ___

Why is it fair? ___

49

Probability Scale Problems

Place each event on a 0-to-1 probability scale.

Rolling a 3 on a dice: ___

Flipping heads: ___

Drawing red from 8 red and 2 blue: ___

Drawing blue from 9 red and 1 blue: ___

50

Real-Life Probability

Use probability language to describe real events.

The sun will rise tomorrow: ___

You will see a dinosaur at school: ___

You will get homework this week: ___

It will rain on any random day in your city: ___

51

Tally: Chance Words Used in Class

Count how many times each chance word was used.

ItemTallyTotal
Certain
Likely
Even chance
Unlikely
Impossible
52

Probability Quiz Results

How many students correctly classified each event?

Certain event
Likely event
Even chance
Unlikely event
Impossible event
1

Which event was easiest to classify?

2

Which was hardest to classify?

3

What total number of answers were correct?

53

Chance Reflection

Write what you have learnt about likelihood.

Explain the difference between 'likely' and 'certain': ___

Give an example of an event with even probability: ___

How is probability used in everyday life? ___

54

Home Activity: Daily Likelihood

Track likelihood of daily events!

  • 1Choose 5 things that might happen tomorrow. Rate each as certain, likely, even, unlikely or impossible.
  • 2After tomorrow, check which predictions were right.
  • 3Play 'prediction challenge': predict 3 things that will happen today. Were you right?
  • 4Find an example of probability in a board game or card game you own.
55

Chance Language — Degrees

Put these in order from least to most likely by circling the best answer.

Which word means it will definitely happen?

Unlikely
Certain
Possible

Rolling a 7 on a standard dice is...

Unlikely
Impossible
Certain

Getting heads on a coin flip is...

Certain
Even chance
Impossible

It will snow in Darwin in summer is...

Likely
Possible
Unlikely
56

Match Event to Likelihood Word

Match each event to the best chance word.

Winning a raffle with 1 ticket in 100
Drawing a red card from a standard deck
The day after Monday being Tuesday
Finding a dinosaur in your garden
Even chance
Certain
Impossible
Unlikely
57

Create a Likelihood Ladder

Place 5 events on a likelihood scale from impossible to certain.

Impossible: ___

Unlikely: ___

Even chance: ___

Likely: ___

Certain: ___

58

Sort Events by Likelihood

Sort each event into the correct column.

Sun rises tomorrow
It rains in a desert
Roll 6 on a fair dice
You blink today
Pigs fly
A coin flip lands heads
Certain
Likely
Unlikely
Impossible
59

Weather Probability

Use likelihood language to describe tomorrow's weather.

If the weather forecast says 80% chance of rain, is rain: certain, likely, even chance, or unlikely? ___

What would a 10% chance of rain mean using our chance words? ___

Write your own weather prediction using likelihood language:

60

Likelihood Survey

Ask 10 people whether they think each event is likely or unlikely.

ItemTallyTotal
Likely to rain tomorrow
School will be cancelled
Have homework tonight
See a rainbow today
61

Home Activity: Prediction Journal

Keep a prediction journal for a week!

  • 1Each morning, predict 3 things that will happen during the day using chance language.
  • 2Rate each prediction: certain, likely, even chance, unlikely or impossible.
  • 3At the end of the day, check your predictions. How many were correct?
  • 4Share your most surprising result with your family.
62

Weather and Likelihood

Use likelihood language to answer weather questions.

In Darwin in December, rain is...

Certain
Likely
Impossible

Snow in tropical Queensland in summer is...

Likely
Unlikely
Impossible

Sunshine in Australia on any given day is...

Certain
Likely
Even chance

A cyclone hitting Melbourne in winter is...

Certain
Unlikely
Even chance
63

Match: Fraction to Likelihood Word

Match each fraction probability to the best chance word.

1 out of 2 chance
1 out of 10 chance
10 out of 10 chance
0 out of 10 chance
Impossible
Certain
Unlikely
Even chance
64

Design a Fair Spinner

Design a spinner where each colour has an equal chance.

How many equal sections does your spinner have? ___ What colours did you use?

What is the chance of landing on any one colour? ___ out of ___

If you added another colour with a double-sized section, how would that change things?

65

Sort: More or Less Likely Than Even Chance?

Sort each event based on whether it is more or less likely than even chance.

Roll 1 on a dice
Flip heads
Pick red from 7 red and 3 blue
Pick blue from equal red and blue
Draw a heart from a full card deck
Roll an even number on a dice
More likely than even chance
Even chance
Less likely than even chance
66

Probability in Board Games

Think about how probability affects board games.

In Snakes and Ladders, what is the chance of rolling a 6 on your first turn? ___ out of ___

If the board has 3 snakes and 1 ladder, are you more likely to go up or down? ___

How could you change the dice to make the game more exciting?

67

Likelihood Ratings Survey

Ask 10 people to rate the likelihood of each event.

ItemTallyTotal
Rain tomorrow
Win the lottery
Eat today
See a rainbow
68

Chance Events in Games

This graph shows how many times each outcome occurred in 20 trials.

Heads
Tails
Red
Blue
1

Were the coin flips close to even? By how many?

2

Was the red/blue draw fair? Explain.

3

What might explain the variation?

69

Home Activity: Likelihood in Everyday Life

Explore likelihood in everyday situations!

  • 1Look at a weather forecast. Write 3 events using chance language (certain, likely, etc.).
  • 2Look at a sports result. Was the winning team the likely winner?
  • 3Design a simple game that uses chance. Play it 10 times and record results.
  • 4Discuss with your family: what is one certain thing and one impossible thing that will happen this week?
70

Likelihood in Sports

Use chance language to answer sports questions.

A team wins every game in a season. Winning next game is...

Impossible
Likely
Certain

A team lost all 10 games. Losing the next is...

Likely
Certain
Impossible

A penalty kick in soccer has about 75% chance of scoring. It is...

Certain
Likely
Unlikely

A player scores on every free throw. Next one is...

Certain
Likely
Even chance
71

Probability as a Fraction

Find the missing probability fraction part.

6
1
?
8
?
7
4
1
?
10
?
7
5
2
?
72

Match: Fraction to Likelihood

Match each fraction probability to the best chance description.

0/6
3/6
5/6
6/6
Even chance
Certain
Likely
Impossible
73

Design a Probability Game

Design a game that uses probability.

Describe your game: ___

What is the probability of winning? ___ out of ___

Is your game fair? How do you know?

74

Sort: Can Probability Change the Outcome?

Sort each statement about probability.

A fair coin has even chance of heads
Rolling a 7 on a normal dice is unlikely
Certain means probability of 1
Impossible means probability of 1/2
Likely is closer to certain than to even chance
Even chance means exactly half will happen
True statement
False statement
75

Spinner Results

Record spinner results. Spinner has equal Red, Blue, Green, Yellow sections.

ItemTallyTotal
Red
Blue
Green
Yellow
76

Australian Weather Probability

Use likelihood language to discuss Australian weather.

In Sydney in January, rain every day is: ___

Snow in Alice Springs is: ___

Hot weather in Darwin in summer is: ___

Explain why climate affects probability of weather events:

77

Spinner Trial Results

This graph shows 40 spins of a 4-colour spinner.

Red
Blue
Green
Yellow
1

Was the spinner fair? How can you tell?

2

How many more red than blue results were there?

3

What fraction of spins landed on green?

78

Home Activity: Probability Scrapbook

Create a probability scrapbook this week!

  • 1Collect 3 examples of probability from newspapers, magazines or internet.
  • 2Write the chance word and fraction probability for each example.
  • 3Find one example where probability was used to make a prediction.
  • 4Share your scrapbook with your family. Can they add more examples?
79

Probability in Card Games

Answer questions about standard playing cards (52 cards, 4 suits of 13).

Chance of drawing a heart?

1 in 4
1 in 13
1 in 52

Chance of drawing the Ace of Spades?

1 in 4
1 in 13
1 in 52

Chance of drawing a red card?

1 in 4
1 in 2
1 in 52
80

Probability Fractions

Complete each probability fraction.

4
1
?
6
?
5
10
3
?
8
?
6
12
5
?
81

Match: Probability to Chance Event

Match each probability to the event it describes.

1/2
1/6
1/4
0
Choosing a heart from card deck
Rolling a 3 on a dice
Impossible outcome
Heads on a fair coin
82

Probability Fraction Problems

Solve each probability problem.

A bag has 3 red, 2 blue, 5 green marbles. Chance of picking red = ___ out of ___

Is picking green more or less likely than picking red? ___ Why? ___

What colour is most likely? ___ Least likely? ___

83

Sort: What Happens If We Add More of This Colour?

A bag has 5 red and 5 blue. What happens to probability when we add more red marbles?

Add 2 more red
Remove 2 red
Add equal red and blue
Remove all blue
Double all marbles
Add 5 more red
Red becomes more likely
Blue becomes more likely
No change
84

Card Draw Experiment

Record results from drawing 20 cards from a suit (replaced each time).

ItemTallyTotal
Ace
Number card (2–10)
Face card (J, Q, K)
85

Probability and Fairness

A game gives Player A 2 points for rolling 1-3, Player B 2 points for rolling 4-6.

Is this game fair? ___ Why or why not?

What changes would make the game unfair?

Design your own fair game using a dice:

86

Home Activity: Probability Game Night

Play probability-based games with your family!

  • 1Play Snakes and Ladders. Discuss how probability affects each player's progress.
  • 2Shuffle a deck of cards. Try to predict the colour before flipping each card. Track accuracy.
  • 3Design a game where each player has a 1/6 chance of winning each turn. Play 10 rounds.
  • 4Discuss: is skill or luck more important in your favourite game?