As the penetration of electric vehicles (EV) and plug in hybrid electric vehicles (PHEV) increases, the requirement of the charging infrastructure will have an impact on the distribution network parameters and components, especially with the growth of sale of such vehicles. In order to estimate this impact, probabilistic load flow method based on Monte-Carlo simulation has been developed. The variables that depend on the vehicles driving cycle have been obtained with data extraction from the 2017 National Household Travel Survey (NHTS). In addition, general household load has also been considered in the simulation. Simulation results show which network components could not withstand the simulated penetration level and what measures can be taken.