Lottery voting is a system that strives to elect a legislature that accurately represents a community. Each citizen casts a ballot and one from each district is randomly drawn from the pool.
Input: voting populace; equally divided districts; equal-value ballots from each voter; candidate tickets
Output: an elected population based on probability
Lottery voting was conceived by Akhil Reed Amar in a 1984 Yale Law Journal article. He followed this with a 1995 piece that classifies the system as a thought experiment and a way to better understand the pros and cons of current voting systems and their democratic mechanisms.
Because of its original conception as a thought experiment, lottery voting is not currently implemented in any large-scale democracies.
Probability tools can be found online and in a variety of phone applications.
Amar, A. R. (1995). Lottery Voting: A Thought Experiment. In University of Chicago Legal Forum (Vol. 1995, No. 1, p. 8).
Amar, A. (1984). Choosing Representatives by Lottery Voting. The Yale Law Journal, 93(7), 1283-1308. doi:10.2307/796258
GUERRERO, A. A. (2014). Against elections: The lottocratic alternative. Philosophy & Public Affairs, 42(2), 135-178. doi:10.1111/papa.12029