Boxes of 6 ‑inch slate flooring tile contain 40 tiles per box. The count X is the number of cracked tiles in a box. You have noticed that most boxes contain no cracked tiles, but if there are cracked tiles in a box, then there are usually several. Does X have a binomial distribution?Yes. There are a fixed number of tiles per box, with a varying probabilitiy of success, p , and only two outcomes of interest (cracked or not cracked).No. The trials are not independent. If one tile in a box is cracked, there are likely more tiles cracked. There is not enough information to tell. Yes. There are a fixed number of tiles per box, with constant probability of success, p , and only two outcomes of interest (cracked or not cracked).