Bias dice game

Pupils must construct 3 very bias dice. They then play a game with their dice, very simply, the one with the highest number wins. By recording who wins they work out the relative frequency for each colour and give conclusions on the best dice to pick. Moving on to theoretical probability, pupils must draw tree diagrams to show which dice will win. In the end, the three dice are cyclic, like rock paper scissors and it all depends on what colour your opponent chooses. Extension tasks on worksheet.