I won't provide an answer because, to be honest, I was unsure how to respond until I did some online research on the Monty Hall problem. 
I just want to say that it was a fascinating and thought-provoking read. It's amusing how our logical thinking can sometimes clash with the mathematical principles of probability. Hats off OP for starting this thread. A great mental workout!
I just want to say that it was a fascinating and thought-provoking read. It's amusing how our logical thinking can sometimes clash with the mathematical principles of probability. Hats off OP for starting this thread. A great mental workout!
Seeing someone else fascinated by the same interests as mine is a great feeling, Cheers!
I'll add some sources to the main post for the Monty Hall problem, I forgot that not everyone would have seem the problem before, although it is a popular one!