Volcano maths quest: probability

Quick answer

You can use probability to predict how likely it is that something will happen – like which path a volcano might erupt on, or whether a safety zone is safe. Probability helps us talk about likely, unlikely, certain, and impossible events.

Learning outcome

By the end of this page, you will be able to describe how likely or unlikely it is that an event will happen, and explain what certain, impossible, likely, and unlikely mean in everyday situations.

• You can sort events from most likely to least likely.
• You can explain why some events are impossible or certain.
• You can use words like "likely", "unlikely", "certain", and "impossible" to describe what might happen.
• You can make predictions about events using what you know.

Why this matters

Probability helps us make smart decisions in everyday life – like knowing if it’s safe to go outside when it’s raining, or how likely it is to get a gold star in class. In the world of volcanoes, understanding probability helps scientists and people know which paths are more dangerous and which areas are safer. Probability is also used in games, sports, and even in cooking when you guess how long something will take to cook!

How it works

Probability is about how likely something is to happen. We use words like:

• Certain – something that will definitely happen.
• Impossible – something that can never happen.
• Likely – something that probably will happen.
• Unlikely – something that probably won’t happen.

Imagine you're on a volcano adventure and you must choose a path. Some paths are more dangerous than others. If a path is always covered in lava, it's impossible to walk on it. If a path has a safe zone, it's certain you can walk there. If a path has a 50% chance of erupting, it's likely to erupt soon, but not certain.

Examples you can see

Here are some fun examples to help you understand probability:

• It is certain that the sun will rise tomorrow.
• It is impossible for a human to fly without a plane.
• It is likely that you will get a snack at lunchtime.
• It is unlikely that you will find a gold coin in your pocket.

Let’s imagine a volcano with three paths:

1. Path A: Covered in lava – impossible to walk on.
2. Path B: Has a safe zone – certain to be safe.
3. Path C: Has a chance of erupting – likely to erupt, but not certain.

You can draw a picture of these paths and label them with your probability words. This helps you see which path is the safest!

Try it as a mini adventure

Imagine you are a scientist on a volcano adventure. You have a map with 5 paths. Each path has a different chance of erupting. Here's your mission:

1. Path 1: Has a 100% chance of erupting – certain.
2. Path 2: Has a 75% chance of erupting – likely.
3. Path 3: Has a 50% chance of erupting – neither likely nor unlikely.
4. Path 4: Has a 25% chance of erupting – unlikely.
5. Path 5: Has a 0% chance of erupting – impossible.

Your job is to choose the safest path. Which one would you pick? Why?

Common mistakes

• Mistake: Thinking that "unlikely" means "never".
• Why it happens: Children often mix up "unlikely" with "impossible".
• Fix: Remember, unlikely means it might happen, but not very often.

• Mistake: Saying that a certain event is also likely.
• Why it happens: Confusing the words "certain" and "likely".
• Fix: Certain means it will definitely happen – no chance of it not happening.

• Mistake: Using "certain" and "impossible" for events that are not 100% sure or 0% sure.
• Why it happens: Not understanding that probability is about degrees of chance.
• Fix: Certain = 100% sure, Impossible = 0% sure.

Parent and carer guide

Help your child by:

• Asking them to give examples of certain, impossible, likely, and unlikely events in their daily life.
• Playing a quick game where you guess the probability of things happening (e.g., "Will it rain today?" or "Will you get a sticker for good behaviour?").
• Using real-world situations to talk about probability – like the chance of getting a specific card in a deck or the chance of a bus arriving on time.
• Encouraging them to draw pictures or make a list of events with probability labels.
• Not worrying if they mix up the words at first – it's part of learning!

Practice questions

1. Is it certain, impossible, likely, or unlikely that a cat will eat a fish?
2. Is it certain, impossible, likely, or unlikely that you will eat pizza for breakfast?
3. Is it certain, impossible, likely, or unlikely that a car will fly in the sky?
4. Is it certain, impossible, likely, or unlikely that a coin will land on heads?
5. Is it certain, impossible, likely, or unlikely that you will have a birthday this year?

Answers:

1. Likely – Cats often eat fish, but not always.
2. Unlikely – Pizza is not a breakfast food for most people.
3. Impossible – Cars cannot fly without special equipment.
4. Likely – A coin has two sides, so it can land on heads or tails.
5. Certain – Everyone has a birthday every year.

FAQ

What does probability mean?

Probability is how likely it is that something will happen. We use words like certain, impossible, likely, and unlikely to describe this.

Can events be both likely and unlikely?

No – an event is either likely or unlikely. If something is more than 50% likely, it’s likely. If it’s less than 50%, it’s unlikely.

How do we know if something is impossible?

Something is impossible if it can never happen. For example, humans cannot fly without a plane.

Can we predict what will happen using probability?

Yes! Probability helps us make predictions. For example, if a path has a 90% chance of erupting, it’s likely to erupt soon.

Why is probability useful in real life?

Probability helps us make smart choices. It’s used in weather forecasts, games, and even in deciding how safe it is to walk in the rain.