But we re not talking about the deduction in the article but to the deduction I gave above for the iterated experiment I thought I was being quite clear about that I ll break my argument down for you in detail is as follows A is an arbitrary constant n is large enough that we can use the law of large numbers For every n times we are given an envelope n times we have the smaller envelope and n times we have the larger envelope because we choose at random If A is the larger amount the other envelope contains A If A is the smaller amount the other envelope contains 2A So for every n times we find A in our envelope n times there is 2A in the other envelope and n times there is A So for every n times we find A in our envelope if we keep our envelope we will have nA on those occasions on which we found A But if we switch each time we have 1 An on those occasions So we do better if we swap whenever we find A in the envelope So once again is this argument correct If not where is the mistake and what is it