At an electronics manufacturing facility, based on past experience, $86\%$ of new assembly line workers that attended the facility$$s training program will not have a workplace accident in that year, where only $35\%$ of new assembly line workers that do not attend the training program will be accident$-$free in the year. You find that $80\%$ of all new assembly line workers attend the training program. What is the probability that a new worker will not have an accident in the year?