Re: How the show works:
If the banker does not have any extra information, then you should keep playing as long as the banker's offer is less than the average of the remaining briefcases.
But what if the banker knows the contents of the first briefcase you chose? Then it becomes a game where the banker is trying to manipulate you into choosing a smaller payoff than you would get from the final briefcase. In that case I think you are just screwed.
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