Lighter, you cannot boost your odds (or as I prefer, probability), you can only use them to advantage. Of course, to do that you must understand what the probabilities are. Or you can ignore them to your thereby disadvantaging yourself.

I'm not sure I understand what you are saying in paragraph two. I think you mean the math seems more UNREAL than the evidence of your own eyes. If so, I agree that the odds seem counter intuitive in an actual game situation (mostly because of the excitement and psychology of the moment) causing a contestant to make disadvantageous decisions. Also, they do not understand that the rules of the game clearly take it out of the realm of pure chance.

I can understand folks on stage having no, preparation not understanding the best strategy. What amazes me that gnu and some others don't grasp the strategy even after the posting of several grids, and narrative descriptions of the best play which they can analyze at leisure. The only reason I can think of for this: Since the best strategy dos not guarantee a win, it seems no better than any other strategy. But the numbers are the numbers, and that makes those folks wrong.

Jack's analysis is wrong for at least two reasons. P will never choose the same door as C, which he indicates could happen ["C chooses 2/P chooses 2-gxc (forced choice)]. Before that, he states there are "Three possibilities (123): ggc gcg cgg" But each 'g' is a separate entity which needs to be accounted for. If he differentiates them by some means (for example G1, G2) he will easily see there are six possibilities for ordering the prizes behind the doors. If the premises are wrong, the analysis is wrong, the conclusion is wrong--GIGO.

And Mysha, who seemingly agrees with Jack (but not quite), is also wrong. He has made up his his own game where Hall/Host/Presenter must flip a coin. Since it is not THE game, it is moot.