Probability and statistics is the most counter-intuitive subject I have ever studied. Your gut will lead you to the wrong conclusion almost every time. But math, unlike people, does not lie. The math is clear, if Monty Hall offers you a choice, you switch doors. It may not make sense, but that’s the whole point. Your “sense” is totally irrelevant. The math is independent of what you think. The math is always right. You are not. Deal with it, or deal with the consequences of your own ignorance. It’s your choice :^).