I won't put money on Logan Paul.
Before Jake Paul fight against Ben Askren, nobody believed that the kid could win a formal UFC fighter or at least pro athlete. People only talked how a person that trained martial arts for his entire life would beat a youtube parrot. Then happened what nobody expected. Not only Jake won, but he TKOed Askren
I would not bet on Logan winning, but would consider betting on a draw or no contest. On this match, Mayweather is known on his craft and is undefeatable. That's why for me, this is a game for Mayweather and even how hard Paul would do, he's not yet on par with Floyd's experience.
You nailed it, Askren isn't a boxer so he is easily defeated in that fight, however, if you look closely you can tell that he is not fit enough to fight a well trained youtube celebrity, because if he is and has prepared for the fight, this could have gone more than 1 round.
And the next match would be easy to determine where people should bet their money and that's going to be with Floyd.