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You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by. . . .

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

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Which of these ideas about randomness are actually correct?

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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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Can you generate a set of random results? Can you fool the random simulator?

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

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Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

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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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This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

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

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A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has. . . .

Think that a coin toss is 50-50 heads or tails? Read on to appreciate the ever-changing and random nature of the world in which we live.

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Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

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This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

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A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .

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Engage in a little mathematical detective work to see if you can spot the fakes.

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

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Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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A maths-based Football World Cup simulation for teachers and students to use.

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This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in. . . .

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All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

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A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .

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Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

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Simple models which help us to investigate how epidemics grow and die out.

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Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?