Alien planet maths quest: probability

Quick answer

Probability is about how likely something is to happen, and we can use words like impossible, unlikely, equally likely, likely, and certain to describe it.

Learning outcome

By the end of this page, you will be able to describe how likely events are using words like impossible, unlikely, equally likely, likely, and certain.

• You can sort events from least likely to most likely.
• You can explain why some things are more or less likely to happen.
• You can make predictions about what might happen in a game or story.
• You can use probability words to describe everyday events.

Why this matters

Probability helps us understand the chances of things happening. It's useful in many ways:

• When you play board games, you might guess if you'll roll a six or not.
• When you go outside, you might think it's likely to rain or unlikely to snow.
• When you're on an alien planet, you need to know how likely it is to meet a friendly creature or a dangerous one!

Probability helps you make better decisions and predictions. It's also the start of understanding more complex maths like chance and data in school.

How it works

Probability is all about how sure we are that something will happen. Here's how to think about it:

1. Impossible means something will never happen.
2. Unlikely means something might happen, but it's not very likely.
3. Equally likely means two or more things have the same chance of happening.
4. Likely means something probably will happen.
5. Certain means something will definitely happen.

Think of it like a line from impossible (no chance) to certain (full chance). The middle is where unlikely and likely live.

Examples you can see

Let's imagine you're on an alien planet where everything is different!

Alien Planet Story: The Gravity Jumps

On this alien planet, you have to jump from one platform to another. The platforms are connected by gravity bridges that might break!

Real-world Examples

• It's certain that you will have a birthday next year.
• It's unlikely that you will win the lottery.
• It's equally likely that you will roll a 1 or a 6 on a fair dice.
• It's likely that you will eat breakfast tomorrow.
• It's impossible for you to grow wings.

Try it as a mini adventure

Imagine you're on a space mission to an alien planet! You have to solve a mystery to get home. Here's your mission:

1. First time: You see a strange glowing orb. Is it likely, unlikely, or impossible to be a treasure?
2. Second time: You find a cave. Is it likely, unlikely, or impossible to be safe?
3. Third time: You hear a sound. Is it likely, unlikely, or impossible to be a friendly alien?
4. Fourth time: You find a key. Is it likely, unlikely, or impossible to open the door?
5. Fifth time: You see a spaceship. Is it likely, unlikely, or impossible to be yours?

Now, try to think of your own adventure. What is impossible, unlikely, equally likely, likely, and certain in your story?

Common mistakes

• Mistake: Thinking that "equally likely" means "equal chance" and "same result". Why it happens: Children may confuse chance with actual outcomes. Fix: Remember, equally likely means the same chance of happening, not the same result. For example, rolling a 1 or a 6 on a dice are equally likely events, but you might roll a 1 or a 6 each time.
• Mistake: Saying "impossible" when something is just very unlikely. Why it happens: Confusing words for chance. Fix: Impossible means it will never happen. If something might happen, but not often, it's unlikely.
• Mistake: Using probability words in the wrong order. Why it happens: Not understanding the scale from impossible to certain. Fix: Remember the order: impossible, unlikely, equally likely, likely, certain.

Parent and carer guide

Help your child understand probability by:

1. Playing games where you predict what will happen (like rolling dice or spinning a spinner).
2. Using everyday situations to talk about chance (like "It's likely it will rain today" or "It's impossible for me to grow wings").
3. Sorting events from least to most likely to help them understand the scale.
4. Encouraging them to explain their thinking when they guess what might happen.
5. Not worrying if they get confused at first – it's normal to mix up these words at first!

Ask questions like:

• "Why do you think that is likely to happen?"
• "Can you think of another event that's equally likely?"
• "What would make this event impossible?"

Practice questions

1. Is it likely or unlikely that you will eat pizza for lunch tomorrow?
2. Is it impossible or certain that you will grow wings?
3. Is it equally likely to roll a 3 or a 5 on a fair dice?
4. Is it likely or unlikely that it will snow in summer?
5. Is it certain or impossible that you will have a birthday next year?

Answers:

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

FAQ

What does probability mean?

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

Can probability be measured with numbers?

Yes! Probability can be shown with numbers from 0 (impossible) to 1 (certain). But for now, we're just using words to describe how likely things are.

Why is probability useful?

Probability helps us make predictions, decide what to do, and understand the world better. It's used in games, weather forecasts, science, and even in your daily decisions.

Can events change from likely to impossible?

Yes! If something was unlikely but then happens, it was still possible. If something was certain and then doesn't happen, something changed. Probability depends on what we know.

How can I practice probability at home?

You can practice by guessing what will happen in games, looking at weather forecasts, or talking about events that might happen in your day. Try sorting events from impossible to certain.