@article{Mota_2019, place={Goiânia}, title={A generalization of the car versus billy-goat problem}, volume={2}, url={https://revistas.ufg.br/nexus/article/view/59834}, abstractNote={<p>This paper is a generalization of the famous and counter intuitive problem&nbsp;of car versus billy-goat, known as the Monty Hall problem. With the hypothesis that the number of cars plus the number of billy-goats is equal to the number of doors, and the TV&nbsp;host may open more than one door, we prove that the best strategy is always to switch the&nbsp;door. To obtain the analytical results we use only simple calculations of probability. We&nbsp;also did some numerical simulations that illustrate the obtained results. The programming code is included in the paper.</p>}, journal={NEXUS Mathematicæ}, author={Mota, Jesus}, year={2019}, month={dez.} }