1. Dramatic or vivid event X occurs (and is not in accord with the majority of the statistical evidence).
2. Therefore events of type X are likely to occur.
This sort of "reasoning" is fallacious because the mere fact that an event is particularly vivid or dramatic does not make the event more likely to occur, especially in the face of significant statistical evidence.
Drew: "So how are you going to get home over Christmas break?"
Joe: "I'm going to drive. That will be a lot safer than flying."
Drew: "I don't think so. You are much more likely to get injured or killed driving than flying."
Joe: "I don't buy that! You should have seen the smoke pouring out of that engine! I'm never getting on one of those death traps again!"
Also see Hasty Generalization
The Nizkor Project: Misleading Vividness