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### One or both

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?

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Favourite

### In a box

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?

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Favourite

### Chances are

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

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### Different Digital Clock

At how many times between 10 and 11 o'clock are all six digits on a digital clock different?

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### Medal Ceremony

The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?

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Favourite

### The Better Choice

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

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Favourite

### Which spinners?

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

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### Tying the Rope

What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?

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### Takeaway Time

Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

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Favourite

### Last one standing

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

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Favourite

### Same Number!

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

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Favourite

### Mathsland National Lottery

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

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Favourite

### Who's the winner?

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

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### Descending Deal

Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?

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### Two Girls

There are 10 girls in a mixed class. If two pupils are selected, the probability that they are both girls is 0.15. How many boys are in the class?

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Favourite

### Odds and Evens made fair

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.

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### Collecting Marbles

How many marbles need to be taken out to ensure that at least three are of the same colour?

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### Phone Call

How many different phone numbers are there starting with a 3 and with at most two different digits?

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### Switch On

In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

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### Swapping Sweets

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?

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### Vegtown Elections

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

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### XOXOXO

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

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### Domino Match

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

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### Flipping coins

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

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### Odd Dice

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