>>13386460A lot of the confusion comes from factoring in the other boxes as options when it is ultimately only one box you are drawing from which either will or will not contain another gold ball.
If the other boxes were still in play, *or you calculate the odds before you chose from the box you picked the results would be 2/3, but we are talking about a specific instance after those options are eliminated, leaving only 2 choices, which diminishes the odds to 1/2.
We must factor in an instance of time into the equation and consider in this instance the other options have already been eliminated, leaving us with 2 potential results, or in other words 1 in 2 odds.
It's a paradox for this reason, it has a variable result depending on when you measure the odds.