Yes. It's because the first choice is more likely to be wrong 2/3 times. That's where the 66% comes from. They then kindly remove the second wrong choice which means it is a much bigger chance of getting it right if you change.
@Abstraction Indeed. I only “got it” when I imagined the contestant can see (let’s say secretly what they chose and if a goat) let’s say the game continues. Then heck, yes I’ll switch after Monty pics the second goat!
