If you are playing deal or no deal and you pick a box at the start of the game that you think contains £250000(top prize) out of 22 boxes and while you are playing most of the boxes are eliminated, except from your box, and another box that you know only contains £1.00.

In this specific case does the monty hall paradox principle apply? I know the host has no prior knowledge of what is in the boxes but everyone knows that there is now only two boxes, one that contains £1 and one that contains £25000.

So you are now left with a box that contains £250000 and a box that contains £1.00. If you are given the option to change your mind about which box you want would it make sense to do so?