Likelihood of Everyday Events
Match Chance Words
Draw a line to match.
Certain, Likely, Unlikely or Impossible?
Circle the correct word.
A coin will land on heads or tails
It will snow in summer in Australia
You will grow taller this year
A fish will climb a tree
More Likelihood
Circle the correct word.
You will blink in the next minute
It will rain chocolate
You will see a car today
You will find a dinosaur at school
Sort by Likelihood
Sort these events.
More or Less Likely?
Circle the event that is MORE likely.
Which is more likely?
Which is more likely?
Which is more likely?
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: ___
Create Your Own Examples
Write one event for each chance word.
Certain: ___
Likely: ___
Unlikely: ___
Impossible: ___
Even Chance
Circle the correct answer.
Flipping a fair coin has...
A spinner with 2 equal sections (red and blue) has...
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
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?
Probability Language — Set A
Circle the correct chance word.
You will need to breathe today.
A cat will bark.
It will be windy sometime this month.
You will grow younger.
Probability Language — Set B
Circle the correct chance word.
Rolling a number bigger than 0 on a normal dice
Rolling a 7 on a normal dice
Picking a green ball from a bag of 9 red and 1 green ball
Picking a red ball from a bag of all red balls
More Likely — Set A
Circle the event that is MORE likely.
Which is more likely on a normal dice?
A bag has 3 red and 7 blue marbles. Which is more likely?
A spinner has 3 equal sections. Which is more likely?
Which is more likely?
More Likely — Set B
Circle the more likely event.
10 yellow balls and 2 green balls in a bag. You pick...
A fair coin is flipped. Which is more likely?
A class has 18 girls and 12 boys. One is chosen. More likely:
Match Events to Chance Words — Set A
Match.
Match Events to Chance Words — Set B
Match.
Sort by Likelihood — Set A
Sort from least to most likely.
Sort by Likelihood — Set B
Sort from impossible to certain.
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)
Create Your Own Chance Examples — Set A
Write an example for each chance level.
Certain: ___
Likely: ___
Even chance: ___
Unlikely: ___
Impossible: ___
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: ___
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: ___
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: ___
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? ___
Make a Fair Spinner
Design a fair spinner.
Draw a spinner with 4 equal sections coloured Red, Blue, Green and Yellow. Is it fair? ___
Change the spinner so Red is twice as likely as the others. Describe your changes: ___
Chance Events Tally
Tally how often each event happened in 20 turns.
| Item | Tally | Total |
|---|---|---|
Heads | ||
Tails |
Marble Pick Results Graph
This graph shows results from picking a marble 30 times. Red = 22, Blue = 8.
| Red marble | |
| Blue marble |
Which marble was picked more?
Is this what you would expect if the bag had equal numbers?
What does this tell us about the contents of the bag?
Probability Fractions
A bag has 10 marbles. Fill in the missing count.
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? ___
Chance Vocabulary Quiz
Match the chance word to the correct probability.
Certain means the event...
Impossible means the event...
Likely means the event...
Unlikely means the event...
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: ___
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 = ___
Sort: More or Less Likely Than 1/2?
Sort each event.
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? ___
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? ___
Probability Fractions
Fill in the missing probability.
Likelihood Scale
Arrange these on a scale from impossible (0) to certain (4).
Certain, Likely, Even, Unlikely or Impossible?
Classify each event.
Rolling a 7 on a standard dice:
Getting a head or tail when flipping a coin:
Drawing a red card from a deck of only red cards:
It will snow in tropical Queensland in summer:
More or Less Likely? — Set B
Circle the more likely event.
Which is more likely?
Which is more likely?
Which is less likely?
Probability on a Number Line
Where does each probability belong on a 0-to-1 line?
Probability 0 is...
Probability 1 is...
Probability 1/2 is...
Probability 3/4 is...
Match Events to Likelihood
Match.
Match Probability Words to Fractions
Match.
Sort: Chance Language
Sort from least likely to most likely.
Sort: Affects Probability or Not?
Sort these factors.
Count to Find Probability
How many objects are in each set? Use it to calculate probability.
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? ___
Design a Biased Spinner
Design a spinner where green is most likely to win.
Draw your spinner (divide a circle into sections). Label colours.
Probability of green winning = ___/total sections
Probability of not-green winning = ___/total sections
Design a Fair Spinner
Design a spinner that is equally fair for 4 players.
Draw and label your spinner (4 equal sections).
Probability of any one player winning = ___
Why is it fair? ___
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: ___
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: ___
Tally: Chance Words Used in Class
Count how many times each chance word was used.
| Item | Tally | Total |
|---|---|---|
Certain | ||
Likely | ||
Even chance | ||
Unlikely | ||
Impossible |
Probability Quiz Results
How many students correctly classified each event?
| Certain event | |
| Likely event | |
| Even chance | |
| Unlikely event | |
| Impossible event |
Which event was easiest to classify?
Which was hardest to classify?
What total number of answers were correct?
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? ___
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.
Chance Language — Degrees
Put these in order from least to most likely by circling the best answer.
Which word means it will definitely happen?
Rolling a 7 on a standard dice is...
Getting heads on a coin flip is...
It will snow in Darwin in summer is...
Match Event to Likelihood Word
Match each event to the best chance word.
Create a Likelihood Ladder
Place 5 events on a likelihood scale from impossible to certain.
Impossible: ___
Unlikely: ___
Even chance: ___
Likely: ___
Certain: ___
Sort Events by Likelihood
Sort each event into the correct column.
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:
Likelihood Survey
Ask 10 people whether they think each event is likely or unlikely.
| Item | Tally | Total |
|---|---|---|
Likely to rain tomorrow | ||
School will be cancelled | ||
Have homework tonight | ||
See a rainbow today |
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.
Weather and Likelihood
Use likelihood language to answer weather questions.
In Darwin in December, rain is...
Snow in tropical Queensland in summer is...
Sunshine in Australia on any given day is...
A cyclone hitting Melbourne in winter is...
Match: Fraction to Likelihood Word
Match each fraction probability to the best chance word.
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?
Sort: More or Less Likely Than Even Chance?
Sort each event based on whether it is more or less likely than even chance.
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?
Likelihood Ratings Survey
Ask 10 people to rate the likelihood of each event.
| Item | Tally | Total |
|---|---|---|
Rain tomorrow | ||
Win the lottery | ||
Eat today | ||
See a rainbow |
Chance Events in Games
This graph shows how many times each outcome occurred in 20 trials.
| Heads | |
| Tails | |
| Red | |
| Blue |
Were the coin flips close to even? By how many?
Was the red/blue draw fair? Explain.
What might explain the variation?
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?
Likelihood in Sports
Use chance language to answer sports questions.
A team wins every game in a season. Winning next game is...
A team lost all 10 games. Losing the next is...
A penalty kick in soccer has about 75% chance of scoring. It is...
A player scores on every free throw. Next one is...
Probability as a Fraction
Find the missing probability fraction part.
Match: Fraction to Likelihood
Match each fraction probability to the best chance description.
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?
Sort: Can Probability Change the Outcome?
Sort each statement about probability.
Spinner Results
Record spinner results. Spinner has equal Red, Blue, Green, Yellow sections.
| Item | Tally | Total |
|---|---|---|
Red | ||
Blue | ||
Green | ||
Yellow |
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:
Spinner Trial Results
This graph shows 40 spins of a 4-colour spinner.
| Red | |
| Blue | |
| Green | |
| Yellow |
Was the spinner fair? How can you tell?
How many more red than blue results were there?
What fraction of spins landed on green?
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?
Probability in Card Games
Answer questions about standard playing cards (52 cards, 4 suits of 13).
Chance of drawing a heart?
Chance of drawing the Ace of Spades?
Chance of drawing a red card?
Probability Fractions
Complete each probability fraction.
Match: Probability to Chance Event
Match each probability to the event it describes.
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? ___
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?
Card Draw Experiment
Record results from drawing 20 cards from a suit (replaced each time).
| Item | Tally | Total |
|---|---|---|
Ace | ||
Number card (2–10) | ||
Face card (J, Q, K) |
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:
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?