Registered Sex Offender Wins Mega Jackpot

It made me sick to my stomach to read that a registered sex offender won last weeks 57 million mega millions jackpot. According to the article the ex-con's rap sheet includes assault with intent to commit sexual penetration, and breaking and entering. He will take a $34 million payout. I think that someone with his sick tendencies having money makes for a very dangerous situation. Shouldn't there be some type of rule that disqualifies these individuals from winning the lotto? What do you think?