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Maths Adventures

Dragon maths quest: probability

A story-led junior maths adventure using hoards, scales and fiery puzzles to talk about likely, unlikely, certain and impossible events.

Quick answer

Probability is about how likely something is to happen – from certain events that always happen, to impossible ones that never happen, with likely and unlikely events in between. In a Dragon maths quest, you might need to guess which treasure chest is most likely to contain gold, or which dragon's breath will be the hottest!

Learning outcome

By the end of this page, you will be able to describe and compare events as certain, likely, unlikely, or impossible, and use these words to make predictions in a fun dragon adventure.

  • You can sort events from most to least likely.
  • You can explain why some events happen more often than others.
  • You can use words like "certain", "likely", "unlikely", and "impossible" to describe your predictions.
  • You can imagine and describe what might happen in a dragon quest using probability words.

Why this matters

Probability helps us understand the chance of things happening. It’s useful for making smart choices, like picking the right path in a game or deciding what to pack for a trip. In real life, it helps you know if you’re more likely to win a game, get a good grade, or even find a four-leaf clover!

When you play games or solve puzzles, probability helps you think ahead and make better decisions. It's also a great skill for scientists, engineers, and even dragons who need to plan their next move!

How it works

Probability is all about how sure we are that something will happen. We can describe events using these words:

  1. Certain: Something that always happens – like the sun rising in the morning.
  2. Impossible: Something that never happens – like a dragon flying without wings.
  3. Likely: Something that usually happens – like finding treasure in a dragon’s hoard.
  4. Unlikely: Something that rarely happens – like finding a golden coin in a pile of rocks.

You can also think of probability as a scale from 0 to 1, where 0 means impossible and 1 means certain. But for now, we’ll use simple words to describe how likely things are.

Examples you can see

Let’s imagine you are on a Dragon maths quest:

  • Certain: When you walk outside, it is certain that you will see the sky.
  • Impossible: A dragon can’t breathe fire and ice at the same time – it’s impossible!
  • Likely: If you open a dragon’s treasure chest, you’re likely to find gold coins or jewels.
  • Unlikely: If you throw a dice, you’re unlikely to roll a 12.

Here’s a table showing some more examples:

Event How likely?
It will rain tomorrow Likely (if weather says so)
You will find a magic spell book in a dragon's cave Likely (if you’re looking for it)
You will find a purple dragon in a forest Unlikely (purple dragons are rare)
You will find a dragon’s egg in your garden Impossible (dragons don’t lay eggs in gardens)
You will have a snack at lunch Certain (if you’re at school)

Try it as a mini adventure

Imagine you are a young dragon explorer on a quest to find the Dragon Maths Treasure! Here’s your challenge:

  1. First, you come across a cave with 3 doors. One door leads to treasure, one to a riddle, and one to a trap. Which door is most likely to lead to treasure?
  2. You meet a dragon who tells you that he can breathe either fire or ice. What is the chance he breathes fire?
  3. You throw a dice. What is the chance of rolling a 6?
  4. You have a bag of 10 coins. 9 are gold and 1 is silver. Which coin are you most likely to pick?
  5. You are going to a party. Is it certain, likely, unlikely, or impossible that you will have fun?

Answer these questions and see how well you can predict what will happen next in your dragon quest!

Common mistakes

  • Mistake: Thinking that “unlikely” means “impossible”.
    Why it happens: Children sometimes confuse the words because both mean something doesn’t happen often.
    Fix: Remember, something unlikely can still happen, just not very often. Like rolling a 1 on a dice – it’s unlikely, but not impossible!
  • Mistake: Saying that all events have the same chance.
    Why it happens: Children may not understand that some things are more likely than others.
    Fix: Use real-life examples like rolling a dice or picking a card to show that some outcomes happen more often than others.
  • Mistake: Mixing up “certain” and “likely”.
    Why it happens: These words sound similar and can be confusing.
    Fix: Ask yourself: “Does this always happen?” If yes, it’s certain. If it happens often, it’s likely.

Parent and carer guide

Helping your child understand probability can be fun and easy! Here’s how to support them in 5–10 minutes:

  • Ask your child to think of things that are certain, impossible, likely, or unlikely in their everyday life. For example, “Is it certain that it will rain today?” or “Is it impossible that a cat can fly?”
  • Play a game where you use a dice or coin to predict what will happen. For example, “If I roll a dice, what do you think is most likely to happen?”
  • Use real-world examples like weather forecasts, games, or sports to talk about probability. If you’re watching a football match, you can say, “It’s likely that the home team will score a goal.”
  • Don’t worry if they mix up the words – it’s part of learning! Use gentle corrections and real-life examples to help them understand.
  • Encourage them to make predictions and explain their thinking. This builds confidence and understanding.

Practice questions

  1. Is it certain, likely, unlikely, or impossible that a dragon will breathe fire?
  2. Is it certain, likely, unlikely, or impossible that you will find a gold coin in your pocket?
  3. Is it certain, likely, unlikely, or impossible that you will eat pizza for lunch?
  4. Is it certain, likely, unlikely, or impossible that a dragon can fly?
  5. Is it certain, likely, unlikely, or impossible that you will grow taller next year?

Answers:

  1. Likely (most dragons breathe fire, but not all)
  2. Unlikely (gold coins are rare in pockets)
  3. Likely (if you like pizza and it’s lunchtime)
  4. Certain (dragons can fly in most stories)
  5. Certain (you grow taller as you get older)

FAQ

What does probability mean?

Probability is how likely something is to happen. It can be certain, likely, unlikely, or impossible.

Can you give an example of a likely event?

It’s likely that you will see a bird flying in the sky. Birds fly often, so this is a likely event.

What’s the difference between “likely” and “certain”?

“Likely” means something usually happens, but it’s not guaranteed. “Certain” means it will always happen.

Why is probability useful?

Probability helps us make better choices. For example, if you know something is likely to happen, you can prepare for it.

Can you have more than one probability in a situation?

Yes! For example, if you roll a dice, it’s unlikely to roll a 6, but it’s possible. So the event has both a low chance and a chance of happening.