22 boxes. 2 at the final stage.
-Assume you will definately swap.
If you've picked 250k, which is 1/22 chance, you lose.
If you've not picked 250k, which is 21/22 chance, you win.
Every 22 times you play, you would expect to pick 250k once and expect to have 250k in the last 2 boxes twice (22 x 2 = 44).
Of the two times that 250k is in the last 2 boxes, 1 time you will swap (and lose), 1 time you will swap (and win).
-Assume you will definately not swap.
If you've picked 250k, which is 1/22 chance, you win.
If you've not picked 250k, which is 21/22 chance, you lose.
Every 22 times you play, you would expect to pick 250k once and expect to have 250k in the last 2 boxes twice (22 x 2 = 44).
Of the two times that 250k is in the last 2 boxes, 1 time you will not swap (and win), 1 time you will not swap (and lose).
If you swap (or not), half the time you will win, half the time you will lose.
With the monty hall problem, 2/3 or the time if you swap you will win, 1/3 of the time you will lose.
The difference is that in EVERY game of the MH problem, a losing box is revealed and the player reaches the final stage.
In deal or no deal, 250k would only be at the final stage 2/22 or 1/13 times.