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?
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?
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
Use cunning to work out a strategy to win this game.
Two brothers belong to a club with 10 members. Four are selected
for a match. Find the probability that both brothers are selected.
Heads or Tails - the prize doubles until you win it. How much would
you pay to play?
A weekly challenge concerning combinatorical probability.
Calculate probabilities associated with the Derren Brown coin scam
in which he flipped 10 heads in a row.
A player has probability 0.4 of winning a single game. What is his
probability of winning a 'best of 15 games' tournament?
Can you devise a fair scoring system when dice land edge-up or corner-up?
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?
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
Uncertain about the likelihood of unexpected events? You are not
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!
Use combinatoric probabilities to work out the probability that you
are genetically unique!
How do scores on dice and factors of polynomials relate to each