Ok now I understand your way to look at the situation but I still do nt t find this makes things clear about the paradox The problem is that we have proved that for any possible n if my envelop contains then the best thing to do is to change the envelope We can say exactly what is the expected gain I recive it is another way to express 2 n 2 q 1 2q R It is a well defined positive number for any possible n So now let s leave the probability theory and use pure logic if for any possible sum that I could find in the envelop the best thing is to change WHY should I waste time looking at it Let s change immediatly This sounds paradoxical and this is not explained by the argument about