With the apparition of Corona Virus Disease (Covid-19 in short) a plethora of mechanisms have emerged in order to protect people. One of them is the well-known social distancing that is a global protocol that has emerged in 2020 in order to be applied in pandemic times. The protocol persists to date event when people have got the vaccine because the mutation of virus and the risk to be infected again. Commonly these distances have been established to be in the range of distances between 1.5 and 2.0 meters, that in a first instance would guarantee a common and healthy interaction among people. Although very little information on the calculation of this is known, this paper proposes a theory by the which the social distancing might be strongly dependent on stochastic events, so that this study deepens the origin with respect the true or approximated value of social distancing. Simulations and estimations are presented.