Analysis of the dart game - walking into doubles and optimal aiming locations

摘要

In this study a Gaussian distribution is used to model the randomness of darts. With this model, the optimal aiming location and optimal segment can be determined where a dart player should aim in order to expect the highest score. Where the optimal aiming location is depends on the accuracy (skill) of the dart player, which is represented by the standard deviation, a, from the Gaussian distribution. This study has developed an easy method to estimate the (average) o of a dart player. Also, a certain technique to finish a leg called "walking into a double" has been investigated for different values of a, and it has been proved that this technique can significantly increase the chance of successfully finishing a leg in the last turn. Finally, the average a of dart players can be used to rank them based on their average accuracy. This paves the way for a new handicap system in the game of darts.