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Maths Adventures

Farm maths quest: probability

A story-led junior maths adventure using crops, fences and animal groups to talk about likely, unlikely, certain and impossible events.

Quick answer

Probability is about how likely something is to happen, and we can describe it using words like certain, impossible, likely, and unlikely. In a farm adventure, you might wonder if it will rain tomorrow or if a chicken will lay an egg – these are events with different chances!

Learning outcome

By the end of this page, you will be able to describe events using words like certain, impossible, likely, and unlikely, and understand how these words help us talk about how often things happen.

  • I can sort events into categories of chance
  • I can explain why some events are more or less likely to happen
  • I can use words like 'certain' and 'impossible' in real-life situations
  • I can make predictions about farm events based on what I know

Why this matters

Probability helps us understand the world around us. Whether you're waiting for a rain shower, guessing which animal will come out of a pen first, or planning how many eggs you’ll collect, probability helps you think about what might happen next. It’s useful in games, science, cooking, and even in your daily decisions!

How it works

Probability is all about chance – how likely or unlikely something is to happen. We can use words to describe these chances:

  1. Certain means it will definitely happen.
  2. Impossible means it will never happen.
  3. Likely means it will probably happen.
  4. Unlikely means it might happen, but not very often.

When you’re thinking about probability, ask yourself: “Will this always happen? Will this ever happen? Is this something I see often or rarely?”

Examples you can see

Let’s imagine a farm adventure with some fun examples:

Example 1: Chicken Eggs

Every day, a chicken lays an egg. This is a likely event – it happens regularly, but not every single day. If we look at a chicken coop, we might say:

  • It is certain that a chicken will lay at least one egg in a week.
  • It is impossible for a chicken to lay 10 eggs in one day.
  • It is likely that a chicken will lay an egg today.
  • It is unlikely that a chicken will lay an egg in the middle of winter when it’s freezing.

Example 2: Farm Animal Feeding

You are helping feed the animals. You know that:

  • It is certain that the pig will eat when you feed it.
  • It is impossible for a chicken to eat fish.
  • It is likely that the cow will eat hay.
  • It is unlikely that the goat will eat ice cream.

Example 3: Weather on the Farm

It’s sunny today, but you’re wondering what might happen tomorrow:

  • It is certain that tomorrow will be either sunny or cloudy.
  • It is impossible for it to snow in July in your area.
  • It is likely that it will be sunny tomorrow.
  • It is unlikely that it will rain in the afternoon.

Try it as a mini adventure

Imagine you are a young farmer who needs to plan your day on the farm. You have a list of events and need to sort them into categories of chance. Here’s your adventure:

Adventure: Farm Day Sorting

You are the farm manager for one day. Your job is to decide which events are certain, impossible, likely, or unlikely. Use your farm knowledge to sort the following events:

  1. It will rain tomorrow
  2. A cow will drink water
  3. A chicken will lay an egg
  4. A sheep will fly
  5. The sun will rise in the morning
  6. A pig will eat carrots
  7. A duck will swim in the pond
  8. A goat will eat a pizza

Now, write your answers below:

Event Chance
It will rain tomorrow Unlikely
A cow will drink water Certain
A chicken will lay an egg Likely
A sheep will fly Impossible
The sun will rise in the morning Certain
A pig will eat carrots Likely
A duck will swim in the pond Likely
A goat will eat a pizza Unlikely

Common mistakes

  • Mistake: Thinking that all events are equally likely.

    Why it happens: Children may not understand that some things happen more often than others.

    Fix: Use real-life examples and talk about how often things happen.

  • Mistake: Confusing "impossible" with "unlikely".

    Why it happens: Both words describe things that don’t happen, but "impossible" means never, and "unlikely" means rarely.

    Fix: Remind them that "impossible" means "never" and "unlikely" means "rarely".

  • Mistake: Saying that a certain event might not happen.

    Why it happens: Children may think that if something is "certain", it means it’s always happening.

    Fix: Explain that "certain" means "definitely will happen", not "happens all the time".

Parent and carer guide

As a parent or carer, you can help your child understand probability by:

  1. Asking questions like: "Is it certain that the sun will rise tomorrow?" or "Is it possible for a chicken to fly?"
  2. Using everyday examples like "It’s likely that you’ll eat breakfast today" or "It’s impossible for a cat to lay eggs."
  3. Playing simple games with dice or coins to show chance – for example, rolling a die and asking: "Is it likely or unlikely that you'll roll a six?"
  4. Encouraging your child to think about their own daily events using probability words.
  5. Not worrying if they mix up words at first – it’s part of learning!

Practice questions

  1. Is it certain, impossible, likely, or unlikely that you will go to school tomorrow?
  2. Is it certain, impossible, likely, or unlikely that a cow will lay an egg?
  3. Is it certain, impossible, likely, or unlikely that a dog will eat pizza?
  4. Is it certain, impossible, likely, or unlikely that the moon will shine tonight?
  5. Is it certain, impossible, likely, or unlikely that a chicken will lay a diamond?

Answers:

  1. Likely
  2. Impossible
  3. Unlikely
  4. Certain
  5. Impossible

FAQ

What does it mean when something is "certain"?

It means it will definitely happen. For example, the sun will rise tomorrow – it's a certain event.

What does it mean when something is "impossible"?

It means it will never happen. For example, a chicken laying a diamond is impossible.

Can something be both likely and unlikely?

No, each event is one of the four chances – certain, impossible, likely, or unlikely. But different events can be different chances.

How do I know if something is likely or unlikely?

Think about how often you see it happen. If it happens a lot, it’s likely. If it rarely happens, it’s unlikely.

Why do we use probability in real life?

Probability helps us make smart choices. For example, if you know it’s likely to rain, you might take an umbrella. If it’s impossible for a chicken to fly, you won’t expect it to!