%0 Journal Article %T Natural density and probability, constructively %A Maschio, Samuele %J Reports on Mathematical Logic %V 2020 %R 10.4467/20842589RM.20.002.12434 %N Number 55 %P 41-59 %K constructive probability, frequentist probability, natural density, limited principle of omniscience. %@ 0137-2904 %D 2020 %U https://ejournals.eu/en/journal/reports-on-mathematical-logic/article/natural-density-and-probability-constructively %X We give a constructive account of the frequentist approach to probability, by means of natural density. Then we discuss some probabilistic variants of the Limited Principle of Omniscience.