article
Why do people find probability unintuitive and difficult?
Uncertain about the likelihood of unexpected events? You are not
alone!
problem
The Derren Brown coin flipping scam
Age
16 to 18
Challenge level
Calculate probabilities associated with the Derren Brown coin scam
in which he flipped 10 heads in a row.
problem
Dicey Decisions
Age
16 to 18
Challenge level
Can you devise a fair scoring system when dice land edge-up or corner-up?
problem
Favourite
Knock-out
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?
problem
Snooker
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?
problem
Magic Bag
Age
16 to 18
Challenge level
A weekly challenge concerning combinatorical probability.
problem
Favourite
Snooker Frames
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?
problem
Favourite
Teams
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.
problem
Bet you a Million
Age
14 to 16
Challenge level
Heads or Tails - the prize doubles until you win it. How much would
you pay to play?
problem
Voting Paradox
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?
problem
Favourite
FA Cup
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!
problem
Favourite
Spinners
Age
16 to 18
Challenge level
How do scores on dice and factors of polynomials relate to each
other?
article
Taking Chances Extended
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
problem
Succession in Randomia
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?
problem
Is your DNA unique?
Age
16 to 18
Challenge level
Use combinatoric probabilities to work out the probability that you
are genetically unique!
