I'd pronounce it just like Jasmine, but with a y instead of a j. Yazz-min.
I don't like it nearly as much as Jasmine; the yaz sound isn't very attractive.
"It's one thing to be open-minded and quite another to be so open-minded your brains fall out."--Dear Abby
"Let other people push you around, and you deserve whatever bad things happen after that."--Lauren Bacall