What reasoning error is involved in the belief that past performance of an individual applies to future instances without evidence?

The reasoning error involved in the belief that past performance of an individual applies to future instances without evidence is hasty generalization. This fallacy occurs when a conclusion is drawn based on insufficient or unrepresentative evidence. In this case, the assumption is made that because someone has performed a certain way in the past, they will necessarily perform the same way in future situations without considering other influencing factors or the possibility of change.

For example, if a student has scored well on previous math tests, concluding that they will score well on the next test without considering their learning progress, test difficulty, or study habits would be a hasty generalization. This type of reasoning overlooks the complexities of individual performance and can lead to misleading conclusions if not supported by relevant evidence.