Probability

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?

How can we find out answers to questions like this if people often lie?

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

A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.

Why MUST these statistical statements probably be at least a little bit wrong?

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?

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

Invent a set of three dice where each one is better than one of the others?

10 starting points for risk vs reward

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