A company has two factories, Factory A and Factory B, producing a certain product. The number of defective items produced by Factory A follows a Poisson distribution with a mean of 4 per day, while the number of defective items produced by Factory B follows a Poisson distribution with a mean of 2 per day. Suppose a random sample of 10 items is selected from the combined production of both factories. Find the probability that at least 3 defective items are in the sample.