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### Number and algebra

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# Probability - Stage 4

### One or Both

### In a Box

### Chances Are

### The Better Choice

### Which Spinners?

### Last One Standing

### Same Number!

### Mathsland National Lottery

### Who's the Winner?

### Odds and Evens Made Fair

### Swapping Sweets

### Vegtown Elections

### Counting Kangaroos

### XOXOXO

### Numbers or Letters?

### Domino Match

### CD Collection

### Flipping Coins

### Odd Dice

### Dropouts

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Age 14 to 16

ShortChallenge Level

Problem 1 was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Can you work out how many pupils took the exam?

Age 14 to 16

Challenge Level

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

Age 14 to 16

Challenge Level

Which of these games would you play to give yourself the best possible chance of winning a prize?

Age 14 to 16

Challenge Level

Here are two games you can play. Which offers the better chance of winning?

Age 14 to 18

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

Age 14 to 16

Challenge Level

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Age 14 to 16

Challenge Level

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Age 14 to 16

Challenge Level

Can you work out the probability of winning the Mathsland National Lottery?

Age 14 to 16

Challenge Level

When two closely matched teams play each other, what is the most likely result?

Age 14 to 16

Challenge Level

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Age 14 to 16

ShortChallenge Level

If two girls each take a sweet from each other's bags, what is the probability that they end up with what they started with?

Age 14 to 16

ShortChallenge Level

What percentage of people voted for the Broccoli party in the Vegtown election?

Age 14 to 16

ShortChallenge Level

Can you work out how many kangaroos Rachel draws in one colour?

Age 14 to 16

ShortChallenge Level

6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

Age 14 to 16

ShortChallenge Level

Which game offers you the best chance of winning?

Age 14 to 16

ShortChallenge Level

If you take two dominoes from a set at random, what is the probability that they 'match'?

Age 14 to 16

ShortChallenge Level

How many different ways can I arrange the CDs in my collection?

Age 14 to 16

ShortChallenge Level

A coin is flipped 4 times. What is the probability of getting heads at least 3 times?

Age 14 to 16

ShortChallenge Level

These strange dice are rolled. What is the probability that the sum obtained is an odd number?

Age 14 to 16

ShortChallenge Level

What percentage of students who graduate have never been to France?