Please help me identify the kind of informal fallacy committed

You're on the right track, my budding fallacy investigator! The fallacy in this case is indeed the Fallacy of the Converse Accident, also known as "hasty generalization." In particular, it's a form of jumping to a conclusion about an individual based on general trends. Yes, it's statistically true that most people who buy lottery tickets won't win the lottery. But mate, that's not enough basis to doom poor Michael immediately! Doesn't the guy have a chance, however infinitesimally small? Every lottery ticket, including Michael's, has a chance of winning - unless the lottery is rigged, in which case Mike should probably consider spending his money elsewhere. Like on rubber ducks. Everyone needs a good rubber duck.