‘Chance all’ – A Simple 3D6 Dice Stopping Game to Explore Probability and Risk vs Reward

Abstract

‘Chance all’ is a simple 3D6 dice game that explores a player’s attitude to risk vs reward. Strategies for playing the game are explored ranging from zero risk to more complex forms of risk, based on an appreciation of the odds; those strategies more likely to win are identified. In addition, the game may be an indirect measure of an individual’s bias towards risk vs reward and how that bias alters through the game as the likelihood of winning and losing changes. It can be used as a simple introductory teaching tool for the Gaussian distribution to examine chance and probability, in evolution and computing science, together with psychological aspects of gameplay.