I think the best explanation I got of why switching is better is from my Algebra 2 teacher.
Door 1: Car
Door 2: Goat
Door 3: Goat
Pick Door 1, Monty opens 2, switch to 3, LOSE
Pick Door 2, Monty opens 3, switch to 1, WIN
Pick Door 3, Monty opens 2, switch 1, WIN
Although it looks like a 50/50 after Monty opens a door, your odds are 2/3 when switching. Stuff like this is always interesting because it seems wrong at first glance and its a mindfuck when you try to understand it.
Interviewer: "You're not even a superhero you're more of a vampire slayer."
Blade: "Don't do that"