Can you send a link for the probability course that you have in mind? Thanks for the discrete rec!
https://ocw.mit.edu/courses/mathematics/18-05-introduction-t...
I thought there were video lectures available but apparently I was wrong however the class notes are (hopefully!) sufficient.
The prerequisites are (self-reported) minimum, just calculus and mathematical maturity should be sufficient. I would check it out (it's free) and see if it's at an appropriate level.
Unfortunately I've yet to come across an introductory text or course on probability that is actually good :-(