Since Gettier cases are based on situations in which a false belief is considered true by luck, all such cases would be excluded from the class of justified beliefs. One could make the justification and truth condition almost completely independent and hold that having a justified belief puts us in the best position available for getting the truth, but that this position isn’t very good and so most justified beliefs will be false. Gettier cases are meant to challenge our understanding of propositional knowledge.
An example of a Gettier case would be:
John and Bob have applied for a certain job. And John has strong evidence for the following:
1. Bob is the man who will get the job, and Bob has ten coins in his pocket.
John's evidence for premise (1) might be that the owner of the company assured him that Bob would be selected over him, and that John, had counted the coins in Bob's pocket ten minutes