::::As I said before it's a matter of presentation, but as Gill110951 showed, also not making unnecessary assumptions. Yes I suggest replacing this table with my version. Information below the table from the article makes assumption about equiprobability of these situations. As Gill110951 noticed it doesn't need to be true. The probability of beeing in one of the gates doesn't need to be 1/3. Also the table from article do not show complete sample space of solution. Additionally in my explanation there is an information concerning what influence makes a selection by Monty.