Remember this is NOT "Monty Hall Problem"!!Suppose someone has two envelopes. One has twice as much money as the other. I am given an envelope and I have the change to switch to the other envelope. Should I switch?
Please note, that each envelope has a positive amount!
If you read the "work" carefully (where they show the expected value showed that you should switch) - they indicate that there is an "intentional" flaw in the logic and they "challenge" you to find it.Dr Peterson, I truly see why if you switch then you should switch back. I looked at the link you provided and was surprised that the expected value showed that you should switch. It seems that this expected value is being less than truthful? How can that be?
Thanks for your time.
... which is why I said "you can work out the expected values and convince yourself ..."!If you read the "work" carefully (where they show the expected value showed that you should switch) - they indicate that there is an "intentional" flaw in the logic and they "challenge" you to find it.
I read the new link and have to absord all this. It usually takes me time to see things but when i do, I have a good solid understanding of it.The article gives answers, though I'm not sure it's the best explanation. Here's a shorter version: https://www.math.hmc.edu/funfacts/ffiles/20001.6-8.shtml
As far as I'm concerned (and I can't say I've studied this deeply), the problem with the argument comes down to the fact that you don't know how much is actually in your envelope, so the claim to have found the expected value is bogus. The "A" in terms of which it is stated is not a number, but a random variable, and we know nothing about it.