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### Number and algebra

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### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Probability - Advanced

### Why Do People Find Probability Unintuitive and Difficult?

### The Derren Brown Coin Flipping Scam

### Dicey Decisions

### Knock-out

### Snooker

### Snooker Frames

### Teams

### Bet You a Million

### Voting Paradox

### FA Cup

### Spinners

### Taking Chances Extended

### Succession in Randomia

### Is Your DNA Unique?

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Age 7 to 18

Uncertain about the likelihood of unexpected events? You are not alone!

Age 16 to 18

Challenge Level

Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

Age 16 to 18

Challenge Level

Can you devise a fair scoring system when dice land edge-up or corner-up?

Age 16 to 18

Challenge Level

Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?

Age 16 to 18

Challenge Level

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

Age 16 to 18

Challenge Level

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

Age 16 to 18

Challenge Level

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

Age 14 to 16

Challenge Level

Heads or Tails - the prize doubles until you win it. How much would you pay to play?

Age 14 to 18

Challenge Level

Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?

Age 16 to 18

Challenge Level

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

Age 16 to 18

Challenge Level

How do scores on dice and factors of polynomials relate to each other?

Age 14 to 18

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

Age 16 to 18

Challenge Level

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

Age 16 to 18

Challenge Level

Use combinatoric probabilities to work out the probability that you are genetically unique!