In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.0. Suppose you are going to dig up and examine 50 liters of sediment at this site. Let r = 0, 1, 2, 3,... be a random variable that represents the number of prehistoric artifacts found in your 50 liters of sediment. Find the probability that you will find fewer than 3 prehistoric artifacts in the 50 liters of sediment. Round your answer to the nearest ten thousandth.