Way to spoil!

Well yes, indeed, this is the Monty Hall problem. I'll be the first to admit this really sprained my brain when I first heard of it, makes you reconsider how much you should trust your intuition. I've asked this question from a number of people and I've yet to meet one who intuitively figured this one out correctly, it also doesn't bolster my self esteem to know that pigeons outsmart us here: Pigeons outperform humans at the Monty Hall Dilemma | Not Exactly Rocket Science | Discover Magazine