Bakery maths quest: probability

Quick answer

Probability is about how likely something is to happen – like whether you'll get a chocolate cookie or a plain one from a jar. In a bakery, you can use probability to guess what you might get when sharing cookies or choosing ingredients.

Learning outcome

By the end of this page, you will understand how to describe the chance of events happening using words like 'certain', 'likely', 'unlikely', and 'impossible', and how to use this in a fun bakery adventure.

• You can sort events from most likely to least likely.
• You can explain why some things happen more often than others.
• You can predict what might happen in a bakery using simple maths.
• You can use words like 'certain', 'likely', 'unlikely', and 'impossible' to describe events.

Why this matters

Probability helps us understand how likely things are to happen – which is useful in many parts of life! In a bakery, it helps you guess what you might get when sharing cookies, or how often a recipe might work. This is useful for planning, cooking, and even playing games. Probability also helps us make good decisions, like knowing whether to bring an umbrella or not!

How it works

Probability is about how much chance something has of happening. We use words like:

• Certain – something that will definitely happen
• Impossible – something that will never happen
• Likely – something that probably will happen
• Unlikely – something that probably will not happen

Let’s imagine you’re in a bakery. You have a jar of cookies – some are chocolate, and some are plain. If there are more chocolate cookies than plain ones, it's more likely you'll pick a chocolate one. If there are no plain cookies, it's impossible to pick one!

Examples you can see

Here are some examples of probability in a bakery:

1. It is certain that the bakery will have at least one cookie in the jar. (We know this because there are cookies in the jar!)
2. It is likely that you will get a chocolate cookie if there are 8 chocolate and 2 plain cookies. (There are more chocolate cookies, so it's more likely.)
3. It is unlikely that you will get a plain cookie if there are 8 chocolate and 2 plain cookies. (There are fewer plain cookies, so it's less likely.)
4. It is impossible to get a strawberry cookie if there are only chocolate and plain cookies. (There are no strawberry cookies in the jar.)

Try it as a mini adventure

Adventure: The Bakery Probability Quest

You are the head baker’s assistant, and you need to help decide what ingredients to use for the day’s cookies. You have a big bag of ingredients:

• 10 chocolate chips
• 5 plain chips
• 3 sprinkles
• 2 nuts

Each cookie can have one type of chip, one sprinkle, or one nut. You are going to pick one ingredient at random to add to a cookie.

1. What is the chance of picking a chocolate chip? Answer: Likely
2. What is the chance of picking a nut? Answer: Unlikely
3. What is the chance of picking a sprinkle? Answer: Unlikely
4. Is it possible to pick a strawberry chip? Answer: Impossible
5. Is it certain that you will pick a chip? Answer: Likely

Now, imagine you are sharing cookies with your friends. You have 12 cookies and 4 friends. Each friend gets 3 cookies. What is the chance that you get a chocolate cookie? Answer: Likely (because there are more chocolate cookies than others)

Common mistakes

• Mistake: Thinking that all events are equally likely.
  Why it happens: Children often think that because there are 3 types of cookies, each has the same chance.
  Fix: Count how many of each type there are and compare.
• Mistake: Confusing 'likely' and 'certain'.
  Why it happens: Children think that if something is likely, it will definitely happen.
  Fix: Remember: 'Certain' means it will happen, 'Likely' means it will probably happen.
• Mistake: Saying something is impossible when it's just unlikely.
  Why it happens: Children might think that if something doesn’t happen often, it can’t happen at all.
  Fix: Impossible means it will never happen, even if it’s rare.

Parent and carer guide

Help your child by:

• Playing a game where you guess what you'll get from a jar of small items (like buttons or coins).
• Using everyday events to talk about probability, like: "It's likely we'll get rain today", "It's impossible we'll get snow in summer".
• Letting them make predictions and then checking if they were right.
• Practising with real-life examples like sharing cookies or picking a card from a deck.
• Encouraging them to explain their thinking, not just give an answer.

Remember, it's okay if they don’t get it right the first time. Probability is a skill that grows with practice and experience.

Practice questions

1. There are 5 red marbles and 1 blue marble in a bag. What is the chance of picking a red marble? Answer: Likely
2. There are 3 green apples and 0 red apples. What is the chance of picking a red apple? Answer: Impossible
3. There are 2 blue cakes and 2 yellow cakes. What is the chance of picking a blue cake? Answer: Likely
4. There are 10 plain cookies and 0 chocolate cookies. What is the chance of picking a chocolate cookie? Answer: Impossible
5. There are 4 chocolate cookies, 4 plain cookies, and 4 sprinkled cookies. What is the chance of picking a chocolate cookie? Answer: Likely

FAQ

What does probability mean?

Probability is how likely something is to happen. It helps us guess if something will probably occur, or if it’s very unlikely or impossible.

How do we use probability in real life?

We use probability every day! For example, when you check the weather forecast, you're using probability. When you're choosing what to eat for lunch, you might think about what's most likely to be in the fridge.

Can probability help with baking?

Yes! When you're making cookies, you can use probability to guess how many of each type you might get. This helps you plan how many ingredients you need and how to share them fairly.

What’s the difference between 'likely' and 'certain'?

'Likely' means something will probably happen, but it's not guaranteed. 'Certain' means it will definitely happen – no doubt about it.

Why is it important to learn about probability?

Probability helps us make better decisions, understand the world, and even play games more effectively. It's a useful skill for life!