Probability

A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line?

How could you compare different situations where something random happens? What sort of things might be the same? What might be different?

How can this prisoner escape?

A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two bags so as to make the probability of choosing a red ball as small as possible and what will the probability be in that case?

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

What percentage of students who graduate have never been to France?

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?