Is a score of 9 more likely than a score of 10 when you roll three dice?
Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
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?
How could you compare different situations where something random happens? What sort of things might be the same? What might be different?
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?
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?
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.
