List

Probability - Advanced

The Derren Brown coin flipping scam
problem

The Derren Brown coin flipping scam

Age
16 to 18
Challenge level
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Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

Dicey Decisions
problem

Dicey decisions

Age
16 to 18
Challenge level
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Can you devise a fair scoring system when dice land edge-up or corner-up?
Knock-out
problem
Favourite

Knock-out

Age
16 to 18
Challenge level
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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?
Snooker
problem

Snooker

Age
16 to 18
Challenge level
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A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
Magic Bag
problem

Magic bag

Age
16 to 18
Challenge level
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A weekly challenge concerning combinatorical probability.
Snooker Frames
problem
Favourite

Snooker frames

Age
16 to 18
Challenge level
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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?
Teams
problem
Favourite

Teams

Age
16 to 18
Challenge level
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Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
Bet you a Million
problem

Bet you a million

Age
14 to 16
Challenge level
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Heads or Tails - the prize doubles until you win it. How much would you pay to play?
Voting Paradox
problem

Voting paradox

Age
14 to 18
Challenge level
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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?
FA Cup
problem
Favourite

Fa cup

Age
16 to 18
Challenge level
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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!
Spinners
problem
Favourite

Spinners

Age
16 to 18
Challenge level
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How do scores on dice and factors of polynomials relate to each other?
Taking Chances Extended
article

Taking chances extended

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

Succession in Randomia

Age
16 to 18
Challenge level
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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?

Is your DNA unique?
problem

Is your DNA unique?

Age
16 to 18
Challenge level
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Use combinatoric probabilities to work out the probability that you are genetically unique!

Ante Up
problem

Ante up

Age
16 to 18
Challenge level
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Use cunning to work out a strategy to win this game.