If they are living a good “present” and they have disclosed the “past”, then you may have the chance of a good “future”.
Of course, it does matter what the past was. If the person is a registered sex offender or on probation for serious offences, it may be a completely different matter. If they flunked out of college 10 years ago, so what. It is all a relative matter. As long as you know what their “past” was, you have the opportunity to think about it and say either “nay” or “aye”.